tag:blogger.com,1999:blog-88706081995371387202024-03-13T23:27:31.644+00:00phi-latitudeTom Graham ---- unicorn geometricsTom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.comBlogger90125tag:blogger.com,1999:blog-8870608199537138720.post-61494714992426828852024-02-16T12:06:00.000+00:002024-02-16T12:06:00.262+00:00<p> Henry Lincoln Chronicle ; BBC; 1979.</p><p>I never actually saw this programme when first broadcast, as I was living in Holland in 1979. But 3 years later HL published Holy Blood Holy Grail with his co-authors Michael Baigent and Richard Leigh! Here he introduces the pentagonal geometry he found in the area round Rennes Le Chateau, which I eventually picked up on and the majority of this Blogspot is devoted to! https://www.youtube.com/watch?v=-bYKaXJVt6k&ab_channel=HenryLincolnSpeaks </p>Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-55104617610247486712023-09-09T03:20:00.004+01:002024-02-05T17:51:55.149+00:00<p> Over the years, one topic keeps cropping up! Who defined the foot!!! <span face="arial, sans-serif" style="background-color: white; color: #5f6368; font-size: 14px; font-weight: bold;">24,901.461 miles is the equitorial circumference, according to my request of Google, so lets go with it for now!!! There are 5280 feet in a mile, so the (EC) is (24,901.461 times 5280=131,479,714.08 feet.) now, there are 360 degrees in a circle, for very logical reasons, so 1 degree is 365,221.428 feet! There are 365.242 days in a solar year!. This is a 0.999944 correlation, or a 99.99544% if multiplied by1000!!!!!! So, WHO, (and WHEN)? </span><span style="background-color: white; color: #5f6368; font-size: 14px; font-weight: bold;"> measured the earths circumference, as accurately as NASA does today and why is it so IGNORED by the scientifc community! The answer is never answered, but it aint the measure of some 'KINGS' foot! (Pull the other one its got bells on it!) This and other anomalies have been taking my attention for the past few years, and (swallowing beer). We really have been lied to, or ignored, or fed some religous stories! We most definitley are not the fitrst. All over the planet stuff crops up which proves this, never mind the megalithic structures we can not replicatewith all 'OUR' technologies! </span></p>Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-2325467477699538772022-03-04T06:54:00.001+00:002022-03-04T06:54:14.000+00:00Finlaggan<p> https://www.aenigmatis.com/archaeoastronomy/loch-finlaggan-islay/finlaggan.htm#top</p>Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-81202750006273560392020-05-08T17:02:00.001+01:002020-05-08T17:02:13.461+01:00old maps - great resource<a href="https://maps.nls.uk/geo/explore/?fbclid=IwAR2vMeC8sl3rP3pWGJPG5PaAmntEywllu_rejDbNyCpUMKF6MstP6cybvA0#zoom=19&lat=55.95490&lon=-3.14587&layers=170&b=1">https://maps.nls.uk/geo/explore/?fbclid=IwAR2vMeC8sl3rP3pWGJPG5PaAmntEywllu_rejDbNyCpUMKF6MstP6cybvA0#zoom=19&lat=55.95490&lon=-3.14587&layers=170&b=1</a>Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com1tag:blogger.com,1999:blog-8870608199537138720.post-65959311368111803942019-10-13T18:45:00.000+01:002020-05-16T18:55:50.665+01:00it's been a long time!just a little note to myself to get back to work on this 'blog'! Too long I have been absorbing stuff on youtube, Google Earth and a bit of re-reading! A liking for beer and football, Scottish politics since the referendum in 2014, and chess, which has become a bit of an obsession! Driving around Edinburgh over the years, seasons changing and so on. Technology, phones and such leaving me a question as to how to proceed with all this stuff. A couple of equinoctal sunsets are most relevant, one from the Fa'side with the sun setting behind ArthursSeat, a spring equinox in 2018, and one the 2019 autumn equinox, setting behind Calton Hill from the Portobello Road, in line with the Scottie corner although my phone camera is not very good and the suns light burns out the columns of 'Edinburgh's disgrace' which can normally be seen through the Jock's Lodge gap. The first two are of March 2018, form the Fa'side ridge the sun going down behind A. Seat. The second two of the Jock's Lodge sunset. The second shows Arthur Seat in context. At least getting going again!!!<br />
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Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com5tag:blogger.com,1999:blog-8870608199537138720.post-91807824239461688922017-03-12T17:05:00.002+00:002017-03-12T17:05:10.990+00:00Robin Heath presentationinteresting stuff : https://www.youtube.com/watch?v=D8e8aAFYHocTom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-88663432272783676032015-09-28T14:34:00.005+01:002021-06-04T14:13:41.668+01:00youtube video 'Secrets in plain sight'<p>A wonderful video by Scott Anstott : https://www.youtube.com/watch?v=DHhgLnIvuAs</p>Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-58661541411972489362015-09-24T00:14:00.005+01:002017-02-20T15:06:36.867+00:00The geometry I have found and corroborated was mostly done on Ordnance Survey maps, the 1:25,000 series especially. This programme is the story of these maps and their accuracy. Wonderful programme, and I am much indebted :http://bbc.in/1gaihq1 OK you may have to copy the link and paste in a search thingy, the link ain't live for some reason!? - 20/2/17 ach, the prog not available now!Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-5987075692505353442015-07-06T22:43:00.002+01:002015-07-06T22:43:27.043+01:00I hope this works::<a href="https://plus.google.com/photos/110452003300121170552/albums/6168401014734155953">https://plus.google.com/photos/110452003300121170552/albums/6168401014734155953</a>Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-14460935387073474662015-06-15T17:12:00.000+01:002015-06-18T13:59:45.149+01:00May 1st 2015 walk - Pilrig House to Holyrood Park After a year long hiatus, during which the Referendum on Scottish Independence September 18, 2014, and the following Genereal Election May 7th, 2015 both occurred, I got a second-hand Olympus EOS camera with fish-eye lens, and this walk was my first outing with it. It was a beautiful sunny day and the blossom was at its best. I walked from a friends house near Pilrig House heading toward Arthur Seat area and Holyrood Park, past Pilrig Church to Holyrood Palace, and the 'face' in the Crags which I mentioned many times previously. A flowering cherry to start:<br />
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Pilrig House:<br />
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It would be nice to get a photo from the window in the last of these! The first line I found in the landscape geometry goes from this house directly through Pilrig Church towards Holyrood:<br />
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and across the road from the church is the Boundary Bar, for a few years City Limits but back to the original name:<br />
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This spot was found to be a major point in the Edinburgh grid previously described.<br />
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A walk along Albert Street and up Easter Road with the Crags beyond and the church at the top also part of the grid to Abbeymount and the Turret, one time a pub now a cafe:<br />
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And one of the main reasons for the walk was to get this picture:<br />
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depending on how high the new building ends up this view may be lost.<br />
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and down under the railway bridge to Holrood:<br />
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nice gates but dos anyone see what I see beyond? Later it 'may' become apparent, lol. Walking on is a fine unicorn which I use in the header above:<br />
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IR5 = King James 5, of Scotland,<br />
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and one of the Abbey ruins as we go:<br />
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Just round the corner to the Parliament, Dynamic Earth and Sailsbury Crags:<br />
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and a first glimpse of the gorse in bloom!<br />
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walking into the park and something I have seen for a few years now, but continues to force itself into my perception and is a integral point in the geometric grid of Edinburgh:<br />
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I wonder often how many see it, especially the MSP's sitting gazing out of their windows. Depending on the time of day and the light it is more or less apparent, but usually recognizable when once seen especially at this distance. Walking on towards it:<br />
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during the referendum campaign and the recent General Election many gatherings where held there and I also wondered how many folk saw this. The Radical Road slopes up left to right just below the feature. In fact two people can be seen approaching the feature, giving a sense of scale!<br />
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and a couple more with some blossom:<br />
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and up the afore-mentioned Radical Road, built by unemployed Paisley Weavers in the early 1800's. Unemployed due to their radical beliefs, hence the name. A work scheme proposed by Sir Walter Scott. The story of the 'radical' weavers and the 'Martyr's' who were found guilty of sedition and transported to the 'colonies', Gerrard Palmer Skirving Muir and Margorot, commemorated on the Martyr's Monument in the Old Tolbooth Cemetry, the obelisk which can be seen from the North Bridge and Jeffrey Street. A great song by Adam MacNaughton and sung superbly by Dick Gaughan on his Redwood Cathedral album tells of Thomas Muir of Huntershill, who was transported fourteen years, escaped and died in France:<br />
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the Martyr's Monument is to the left, Nelson's Monument is centre and the Old Tolbooth jail and St Andrews House to the right. Below is the Radical Road:<br />
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this is the feature up close, looks like nothing from here:<br />
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and a couple of views back down the 'line' through the Palace and a few shots of the Parliament and Calton Hill:<br />
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back down the road and further into the park Arthurs Seat comes into view:<br />
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some of the gorse blossom:<br />
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St Margaret's loch:<br />
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St Anthony's Chapel with a bit if fish-eye with a contrail:<br />
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and lastly spotted in the carpark, remember this was a week before the election! And Yes I voted SNP:<br />
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fabulous day, a nice walk and my 'new' camera!Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-48457380008226535502014-06-05T08:46:00.001+01:002014-06-05T10:08:04.888+01:00Part 3. Edinburgh grid contd.The light blue line in these images is the original line from Pilrig House, through Pilrig Church, Calton Terrace, Holyrood Palace/Abbey, the Crags Face, south to the West Edge point at Gilmerton Dykes at Lang Loan. From my notes the bearing is 163.28degrees, which is exact to the hundredth of a degree to the grid established in the previous posts. Also I have somewhat resolved the issue regarding the discrepancies found making lines in Google Earth. There is an 'absolute' option available, which seems to resolve the matter, but even that has issues with altitude and viewpoint, in that if not perfectly centred on the image, the line moves in correspondence to angle of view! I will stick to 'clamped to ground' in the meantime! At least I am content for now!<br />
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The third image above is a close-up of the central area.<br />
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This image has both lines plus the town grid alignments, and all are exact to one-hundredth of one degree!<br />
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<br />Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-70473402918002205752014-05-29T18:56:00.000+01:002014-05-29T19:20:59.831+01:00Part 2 Edinburgh grid geometry continuedcontinuing with the exploration of the Edinburgh grid:<br />
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In the previous post the basic orientation of the street plan of Edinburgh New Town was shown. My interest was drawn to this originally when it w, as noticed that the line from the pentagram maze at Old Scone was on the line that had started this research over twenty years ago, and that the Craig plan for Edinburgh appeared to be linked closely to it! When starting from the grid plan orientation it was found that the exact(to the one-hundredth of one degree using Google Earth) bearing (plus 90degrees) from the pentagon at Old Scone passed over Calton Hill, through the Observatory there and is shown in the last image in the previous post, and again below:<br />
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Now this line has some interesting points on it, but it is some two-three hundred yards west of my original, and needs some investigation!<br />
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The astonishing thing is that this orientation runs straight to Mavisbank eart works which features so strongly in the previous investigation! This line also includes a hill fort or whatever near Perth, unmarked on GE, and also the main road junction in the village of Scotlandwell on at the foot of Bishop Hill near the edge of Loch Leven, and also Liberton Kirk which is a good sighting point to the south of Calton Hill!<br />
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Using Calton Hill to Liberton kirk as a test of what happens more locally in GE a slight discrepancy appears:<br />
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so my guess is, its perhaps an artefact of GE, and whether its best to have the lines 'clamped to ground' or relative to ground' which are options in GE. Relative hights may also be a factor, although Calton Hill and Liberton kirk are roughly equal in altitude, but Old Scone is lower and at a distance of some 45miles or so, the earth's curvature may start to be a factor!? Something I have wondered about when working at large scale. Straight single lines are not an issue but geometry on the sphere angles become distorted somewhat, and my math skills don't stretch to that!Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com2tag:blogger.com,1999:blog-8870608199537138720.post-56734332031058666582014-05-15T17:23:00.004+01:002014-06-05T10:03:39.324+01:00Another look at the Edinburgh grid - Part One(After my old computer 'packed-in' and problems with Google Earth on my old laptop, I again have GE to work with!)<br />
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So, starting again from scratch I shall have another look at the Edinburgh grid introduced back in August/November 2012.<br />
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This time I started with the streets of central Edinburgh, using George Street as datum, using West Register House dome at the West end of Charlotte Square along George Street, through the statues at the junctions with Castle, Frederick and Hanover Streets and the Melville Monument in St Andrews Square at the East end. This also includes the recent erection of the James Clerk Maxwell statue at the east end of George Street. (My understanding is the Clerk part relates to the Clerks of Penicuik! More on that later when I'm more sure of the details!)<br />
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To the east of St Andrews Square the Bank of Scotland Headquarters (may be the Royal Bank, but I think that is at the top of the Mound!) dome sits on this alignment also. Calton Hill, where the road bends on the north side, but a good enough sight-line and finishes at the spire of the church at the top of Easter Road at the London Road junction. The same church I had on my original line which included Holyrood Palace/Abbey, Pilrig church and Pilrig House.<br />
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The orientation/azimuth from West Register House being: 73.28 degrees.<br />
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The line at ninety degrees is from the Tolbooth Church, the highest point in Edinburgh City(Arthurs Seat being outwith the city proper) down Dundas Street to Tanfield, and includes Assembly Hall(Church of Scotland), the statue atop the RSA(Royal Scottish Academy), and the line of the National Gallery, the statue at the junction of Hanover and George Streets, where lines intersect, azimuth:343.28 degrees.<br />
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Same with labels:<br />
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This third image shows the James Craig plan as is today:<br />
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I'll add an original image of the plan later!<br />
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The image below has an exact ninety degree line to the main axis, hence parallel to the other perpendicular, using Calton Hill Observatory, which needs investigation...<br />
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....later!Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-23775215760778517792014-01-16T08:48:00.000+00:002014-01-16T09:05:17.661+00:00grid overview<div class="separator" style="clear: both; text-align: center;">
<a href="http://1.bp.blogspot.com/-0FjsJdKV41c/UteMpLChg8I/AAAAAAAAFKc/k-TitKg54cA/s1600/3+NBL+red+grid3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" closure_lm_236972="null" src="http://1.bp.blogspot.com/-0FjsJdKV41c/UteMpLChg8I/AAAAAAAAFKc/k-TitKg54cA/s1600/3+NBL+red+grid3.jpg" height="362" hua="true" width="640" /></a></div>
In case the previous series of images was all too complex in terms of grid and units used I include simplified form with the red rectilinear grid centred on St. Mary's chapel and using North Berwick Law as orientation. The line from St Mary's chapel extends through NBL to the same distance, the 27.7+ miles derived from the Bornholm work, which was found to be the exact same distance as the St Mary's chapel to the Bass Rock(St Baldred's chapel) which was used as the radius of the outer green circle. The Bass Rock orientation is one degree aprox. east of the shown NBL diagonal, and perhaps could be used in addition to the 'Tavhara'/Roseline(Rosslyn) as described by Bill Buehler, which forms the nearly north/south axis of his 'Reshel' grid, and is shown here (perversely! - ed) in light blue. <br />
When the 45 degrees is subtracted from the NBL line it can be seen to be close to the light blue roseline, both extended as far as Markinch(!) on the outer circumference, and both, plus the Bass Rock line minus 45degrees all cross over Arthurs Seat area, a spread of some two degrees. Bill allows some three degrees for a 'Selah' spoke,<br />
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The grid unit I used in this excercise is one-half of the full 27.7+mile and can be seen to derive naturally from the internal construct of squares and circles. This unit was originally chosen so I could work on maps back when Google Earth was not available, and was more suitable to the area of geometry I was concentrating on.<br />
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The (3 by 1) diagonal the 'reshel' sytem was based is shown in yellow at the bottom and the ninety degree axis from the mid-point of the base is shown in green running nor nor west. The two (2by1) diagonals to the extremities of the (3by1) set of squares is fron the centre St Mary's chapel are also shown in green.<br />
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The Great Pyramid construct with Hillend Fort at the apex is shown in dark blue. The equilateral triangle lines with apex just short of Inchcolm island are shown in mauve. The centre of the pentagonal system used in this excercise is defined by two red lines between these two sets. (Same as the grid! I should have changed the colour! TG) This pentagonal system is constructed on the full (3by1) baseline, which is a comparitively recent addition to the system as notified by Bill a while back. The original used a shorter base and the pentagonal system using that baseline reached Loch Leven in Fife, but was not included in this excercise, but was discussed back in a 2007/8 post when I was just using Ordnance Survey grid references and doing the calculations with a calculator. Neither pentagonal system is shown here, omitted to allow a clearer view of the grid structure.<br />
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This grid has intrigued me since first discovered back in 1999/2000 and re-inforced after the Bornholm work in 2003/4.<br />
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How far this grid extends is uncertain, but extensions to Ben Lawers for example and other connections hint that it may extend beoynd the area shown here. Line of sight points, moutain tops especially, could be used as surveying trig points, and used more locally as centres of construction but that is for an other time!<br />
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Also, this grid system is merely one layer of what is altogether too complex (for me, at any rate!), there is still a large backlog of stuff to cover. My hope was to find that this grid would lead to a simplification of the whole plan, but it hasn't as yet!<br />
<br />Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-30252924666231492202014-01-09T03:51:00.001+00:002014-01-09T21:05:30.273+00:00St Mary's grid conclusion(for now)!<br />
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happy 2014 y'all!</div>
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I want to conclude this set of posts for now so a final bunch of images of the St Mary grid stuff! I'm having a bit of difficulty with this 'blogger' system but I.ve clicked on a few things which hopefully clears the way a bit.</div>
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I have to admit to a general lack of insentive and basic laziness, having become a youtube junky somewhat over the past months!</div>
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A few weeks back a post from Bill Buehler in which he asks for responses regarding grid developments generally and Scotland in particular, so I shall complete what I think may be relevant and pass it on.</div>
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This set of images may be considered a summation of what I have discovered further to what I had already but using Google Earth, which allows projection over a greater scale than was practicable using maps and grid references, and national boundaries no longer an obstacle, even!</div>
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The frist image is an overview of what became apparent once the 3 by1 diagonal 'reshel' system was complete, on the North Berwick Law alignment version, relevant to St Mary's chapel as centre. It should be borne in mind that the NBL alignment is roughly in the middle option of three, the Cardinal directions due north/south, and the Bass Rock version, giving a tolerance of two degrees roughly:</div>
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The main point here is the finding Ben Lawers, just north of Loch Tay, and south of Glen Lyon, and its connection to the grid, with Snowdon due south!</div>
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As can be seen the penta-system has a north/south - east/west aspect, within the same tolerance, the vertical chord and side for instance most obvious to the eye, the second image below showing this clearly:</div>
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It should also be remembered that the verticals from The Ness of Brodgar pass through the centre of the pentagonal system, although not shown here.</div>
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I'm just taking the images in the order they were saved as I cleared stuff off, so this image shows the relevant section of grid in red, St Mary's chapel centre and North Berwick Law marked, with the 3by1 diagonal in yellow:</div>
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In green are shown the two (2by1) diagonals from St Mary's chapel to the two end points of the (3by1) diagonal, forming a ninety degree angle at St Mary's chapel, quite naturally!</div>
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The two mauve lines from the two (3by1) ends form an equilateral triangle at Inchcolm island.</div>
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The two red lines(shoulda used another color- Ed!) from the two (3by1) ends meet at Hillend fort (which I have emphasized for many a year now) using the Great Pyramid angle of 51.8+ degrees.</div>
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the last image here is a closer look at the main construction area of the (3by1) system, with the relevant elements of the grid.</div>
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<strong>Points of Note:</strong></div>
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This grid construct is of the exact same dimensions as the grid on Bornholm, the island in the Baltic Sea described by Haagensen and Lincoln, i.e. 16*square root three standard Imperial Miles, or miles(E) as I use. For the (3by1) diagonal a unit of one half of this measure is used.</div>
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The elements of the construct are taken from the Basic Reshel system described by Bill Buehler who considers them as consciousness grids as used in his group work. I am using them purely geometrically in the context of the landscape and the (3by1)diagonal of this particular grid.</div>
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The Reshel system as described by Bill has two halves to it, the other mirroring what is shown and would extend to the south south-west. Perhaps some day!</div>
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The pentagonal element used here is in fact a recent amendment suggested by Bill as being more pertinent now. Previously the pentagon was a bit smaller but still on the same bas-line.</div>
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The projections which found Ben Lawers and hence Snowdon , and the Ness of Brodgar line which includes the Lomond Hills in Fife and Lochnagar near Balmoral only serve to reinforce the validity of the whole sytem.</div>
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OK Pub time! T </div>
Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-84755810202352945702013-10-10T14:06:00.001+01:002014-06-11T13:15:56.865+01:00Ness of Brodgar -with reference to Giza<div class="separator" style="clear: both; text-align: center;">
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I was looking at a youtube video of Carl Munck's grid work and to test his system out I decided to check out the Ness of Brodgar which had been the subject of a BBC programme with Neil Oliver an archeologist/historian, concerning the finds at the Ness. Opinion being that it turns the pre-history of the UK on its head in that it would appear that it is at least as important as Stonehenge with a lot more to un/dis-cover! I wanted to see if the latitude and longitude of the Ness showed any correspondencies to what Munck was showing. I had found that his figure for the latitude of Stonehenge did not match that of Google Earth. I used the figurs for the Ness anyway and found a striking correlation with phi squared(2.618) in the latitude(34d20m55.44s) and an adjustment south in the longitude of a mere 32ft from the central spot I chose gives an exact square root three harmonic in the longitude(58d59m50.9388s - 58d59m506152s)using Muncks method of multiplying degrees, minutes and seconds together. Feeling rather pleased with this finding I decided to run lines from the Brodgar sites to the system I had been working on to the south and found some interesting points along the way, including Castle Mey, Balmoral/Lochnagar, East Lomond Hill/Falkland, all in the corridor between Ring of Brodgar and Maes Howe, and then in Edinburgh a spread from Caerketton in the Pentlands of which Hillend is attached and Blackford Observatory on Blackford Hill, and including the centre of the pentagonal system shown in the previous posts. Further south Cademuir Hill south of Peebles and Dunrig are found.</div>
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<a href="http://2.bp.blogspot.com/-vFnLkMxqsno/UlamEST7a5I/AAAAAAAAFHc/NjjPMG1B2_4/s1600/1bNess+of+Brodgar.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://2.bp.blogspot.com/-vFnLkMxqsno/UlamEST7a5I/AAAAAAAAFHc/NjjPMG1B2_4/s640/1bNess+of+Brodgar.jpg" height="362" width="640" /></a></div>
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Castle mey in the above image and Balmoral/Lochnagar in the image below</div>
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<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-OdNVouKcq0g/UlamHQxANJI/AAAAAAAAFHk/5uIjbUX2Jcs/s1600/1cNess+of+Brodgar.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://3.bp.blogspot.com/-OdNVouKcq0g/UlamHQxANJI/AAAAAAAAFHk/5uIjbUX2Jcs/s640/1cNess+of+Brodgar.jpg" height="362" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Balmoral and Lochnagar</td></tr>
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<tr><td style="text-align: center;"><a href="http://2.bp.blogspot.com/-5IGQ4ShoEuo/UlamK4KCC5I/AAAAAAAAFHs/Vx2XIr3PUD4/s1600/1dNess+of+Brodgar.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://2.bp.blogspot.com/-5IGQ4ShoEuo/UlamK4KCC5I/AAAAAAAAFHs/Vx2XIr3PUD4/s640/1dNess+of+Brodgar.jpg" height="362" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">East Lomond Hill and Falkland Palace</td></tr>
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<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-cWPg1lXpibs/UlamOjlfVEI/AAAAAAAAFH0/DdB1igapFOI/s1600/1eNess+of+Brodgar.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://3.bp.blogspot.com/-cWPg1lXpibs/UlamOjlfVEI/AAAAAAAAFH0/DdB1igapFOI/s640/1eNess+of+Brodgar.jpg" height="362" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">interesting intersect point at Auchmuirbridge, on the 27.7+mile circumference circle with the 3by1 pentagonal axis in yellow. The grid diagonal is in green.</td></tr>
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<tr><td style="text-align: center;"><a href="http://1.bp.blogspot.com/-RVl7ybX7skA/UlamSowhKJI/AAAAAAAAFH8/hdGM2c3fp8A/s1600/1fNess+of+Brodgar.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://1.bp.blogspot.com/-RVl7ybX7skA/UlamSowhKJI/AAAAAAAAFH8/hdGM2c3fp8A/s640/1fNess+of+Brodgar.jpg" height="362" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">the two outer lines of the three showing Tron Kirk and Blackford Observatory on the eastern and the penta-cantre close by the western.</td></tr>
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<tr><td style="text-align: center;"><a href="http://2.bp.blogspot.com/-cH9hEZOHyPU/UlamV_W99UI/AAAAAAAAFIE/DwffifUeoYE/s1600/1gNess+of+Brodgar.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://2.bp.blogspot.com/-cH9hEZOHyPU/UlamV_W99UI/AAAAAAAAFIE/DwffifUeoYE/s640/1gNess+of+Brodgar.jpg" height="362" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">The eastern line continued south past St. Mary's chapel on to Caedmuir Hill and Dun Rig.</td></tr>
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Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-74355691033916544402013-10-10T13:57:00.001+01:002013-12-05T14:12:54.965+00:00Ben Lawers pentagon extensions <br />

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<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-RYJ3O83wlP8/UlakAD-b5pI/AAAAAAAAFGQ/6tLJ0Zyihl0/s1600/Ben+Lawers+1+Snowdon.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="362" src="http://3.bp.blogspot.com/-RYJ3O83wlP8/UlakAD-b5pI/AAAAAAAAFGQ/6tLJ0Zyihl0/s640/Ben+Lawers+1+Snowdon.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">The north/south line from Ben Lawers to Snowdon just grazing the pentagonal system. The purple north/south lines with Lochnagar shown is from the Ness of Brodgar on Orkney runs through the centre of the penta systemand as can be seen would almost define the Welsh/English border if extended.</td></tr>
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With Ben Lawers found by extension of the pentagonal system and very near tangent due south to the western most corner of the pentagon, it was then found that by extension Snowdon was found to be on this line(second image). On the way south, Windy Standard and St John's Town of Dalry were found also(third image)</div>
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<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-HK2yqeuZ3wY/UlakCoHhzCI/AAAAAAAAFGY/taOlibEFP1Q/s1600/Ben+Lawers+1+Snowdon+2.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="362" src="http://3.bp.blogspot.com/-HK2yqeuZ3wY/UlakCoHhzCI/AAAAAAAAFGY/taOlibEFP1Q/s640/Ben+Lawers+1+Snowdon+2.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Snowdon</td></tr>
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<a href="http://4.bp.blogspot.com/-Rl07XlOjQBw/UlakEsyI0SI/AAAAAAAAFGg/epkupVeWDr4/s1600/Ben+Lawers+1+Snowdon+3+Windy+Standard+St+J's+of+Dalry.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="362" src="http://4.bp.blogspot.com/-Rl07XlOjQBw/UlakEsyI0SI/AAAAAAAAFGg/epkupVeWDr4/s640/Ben+Lawers+1+Snowdon+3+Windy+Standard+St+J's+of+Dalry.jpg" width="640" /></a></div>
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<tr><td style="text-align: center;"><a href="http://2.bp.blogspot.com/-1GnmZOKmhc4/UlakJKdBWPI/AAAAAAAAFGo/oDAJdxoB8c0/s1600/Ben+Lawers+1+Snowdon+4+penta+tangent.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="362" src="http://2.bp.blogspot.com/-1GnmZOKmhc4/UlakJKdBWPI/AAAAAAAAFGo/oDAJdxoB8c0/s640/Ben+Lawers+1+Snowdon+4+penta+tangent.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">the Ben Lawers-Snowdon line nearly tangential to the circle and penta corner!</td></tr>
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<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-0RqpNhUSDZ4/UlakrDY3R0I/AAAAAAAAFGw/fuS0c3n1qvI/s1600/Ben+Lawers+2+three+penta+connections.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="362" src="http://3.bp.blogspot.com/-0RqpNhUSDZ4/UlakrDY3R0I/AAAAAAAAFGw/fuS0c3n1qvI/s640/Ben+Lawers+2+three+penta+connections.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">the connections to Ben Lawers from the penta extended lines the connection to the western penta corner should be exact but cumulative error has perhaps been highlighted at this point. The question of how much play can be allowed is open to debate!</td></tr>
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<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-P9AOTSKLbSo/UlakuNoPA-I/AAAAAAAAFG4/JOIWwnzvhuY/s1600/Ben+Lawers+3+Dunino.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="362" src="http://4.bp.blogspot.com/-P9AOTSKLbSo/UlakuNoPA-I/AAAAAAAAFG4/JOIWwnzvhuY/s640/Ben+Lawers+3+Dunino.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">the Ben Lawers perfect parallel to penta side virtually the same discrepancy as the western north/south line to Snowdon. </td></tr>
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<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-uSKph5sZoVc/UlakwobWepI/AAAAAAAAFHA/etym10fH2Os/s1600/Ben+Lawers+4+Abercorn+new+tum+penta+corner.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="362" src="http://4.bp.blogspot.com/-uSKph5sZoVc/UlakwobWepI/AAAAAAAAFHA/etym10fH2Os/s640/Ben+Lawers+4+Abercorn+new+tum+penta+corner.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Newbridge Tumulus and Abercorn Church and the inner penta chord which extends to Ben Lawers.</td></tr>
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<tr><td style="text-align: center;"><a href="http://1.bp.blogspot.com/-U48SbdFDi44/UlakzwJiVKI/AAAAAAAAFHI/ija4PXFG9vs/s1600/Ben+Lawers+4+Penicuik+House.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="362" src="http://1.bp.blogspot.com/-U48SbdFDi44/UlakzwJiVKI/AAAAAAAAFHI/ija4PXFG9vs/s640/Ben+Lawers+4+Penicuik+House.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Penicuik House/Estate</td></tr>
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<br />Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-82325491851288404162013-09-18T19:21:00.001+01:002013-12-11T23:42:14.304+00:00St. Mary's grid (full) penta development.Development of the penta system introduced in previous post.<br />
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The penta elements are coloured yellow in this set of images.<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://1.bp.blogspot.com/-aQ4tTttfxDs/Ujnudw_HHcI/AAAAAAAAFFQ/zz4_DEDSB-4/s1600/9+St+M's+gridcalccentre+and+circle+and+spokes.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="362" src="http://1.bp.blogspot.com/-aQ4tTttfxDs/Ujnudw_HHcI/AAAAAAAAFFQ/zz4_DEDSB-4/s640/9+St+M's+gridcalccentre+and+circle+and+spokes.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Developing the pentagonal system based on the 3by1 diagonal of the North Berwick Law orientation(in red) with St Mary's chapel as centre of the two inner circles. The outer circle is centred on the centre of the calculated pentagon with the 3by1 diagonal from Kelso to Ericstane just north of Moffat as base side length.</td></tr>
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<tr><td style="text-align: center;"><a href="http://1.bp.blogspot.com/-ZjB9MkGYdbc/UjnumuoomEI/AAAAAAAAFFY/P4lNrWk3OR4/s1600/9a+St+M's+gridcalccentre+pentchordsw-ne.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="362" src="http://1.bp.blogspot.com/-ZjB9MkGYdbc/UjnumuoomEI/AAAAAAAAFFY/P4lNrWk3OR4/s640/9a+St+M's+gridcalccentre+pentchordsw-ne.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">The first thing of note is that the penta-chord is tangential to the inner grid circle with St.Mary's chapel at centre. Of note also is that the northeast running radius crosses the Isle of May which is nice as I have wondered what part this island played in the geometry.</td></tr>
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<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-pqBN9aBhHuo/UjnuyZwbErI/AAAAAAAAFFg/rj0c9RGUJio/s1600/9abSt+M's+gridcalccentre+pentchords.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="362" src="http://3.bp.blogspot.com/-pqBN9aBhHuo/UjnuyZwbErI/AAAAAAAAFFg/rj0c9RGUJio/s640/9abSt+M's+gridcalccentre+pentchords.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">the completed penta-star.</td></tr>
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<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-qNa0xzJPu9c/Ujnu53u8ChI/AAAAAAAAFFo/6C8bdkKO9vU/s1600/9abSt+M's+gridcalccentre+3+sides.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="362" src="http://3.bp.blogspot.com/-qNa0xzJPu9c/Ujnu53u8ChI/AAAAAAAAFFo/6C8bdkKO9vU/s640/9abSt+M's+gridcalccentre+3+sides.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Surprisingly the two sides of the outer pentafgon are seen to be tangential to the Bass Rock circle centred on St Mary's chapel. The Bass Rock is not marked but is just above the 'r' in North on the crossing point of the chord on the circle circumference, but Markinch is marked on this circumference.</td></tr>
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<tr><td style="text-align: center;"><a href="http://2.bp.blogspot.com/-VJFW_hXT6D8/UjnvBElre1I/AAAAAAAAFFw/71FXC7q13i8/s1600/9dbSt+M's+gridcalccentre+5sides.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="362" src="http://2.bp.blogspot.com/-VJFW_hXT6D8/UjnvBElre1I/AAAAAAAAFFw/71FXC7q13i8/s640/9dbSt+M's+gridcalccentre+5sides.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">completion of the pentagon.</td></tr>
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<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-zF8NzC7dBUc/UjnvF-Td2rI/AAAAAAAAFF4/CZ8eZDIhDEk/s1600/9eStM's+pentyellow+gridgreen.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="362" src="http://4.bp.blogspot.com/-zF8NzC7dBUc/UjnvF-Td2rI/AAAAAAAAFF4/CZ8eZDIhDEk/s640/9eStM's+pentyellow+gridgreen.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">the same figure as above but with the grid system changed to green perhaps clearer.</td></tr>
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<br />Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com1tag:blogger.com,1999:blog-8870608199537138720.post-32134166725283266462013-09-13T15:26:00.000+01:002013-12-11T23:36:11.830+00:00St.Mary's grid part2 - North Berwick Law grid development<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-Tin48umh6Vo/UjMgFRvmj-I/AAAAAAAAFEI/BsTxcO8XYMs/s1600/6StM's+3by1diag+reshel+part.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" closure_lm_644986="null" height="362" isa="true" src="http://4.bp.blogspot.com/-Tin48umh6Vo/UjMgFRvmj-I/AAAAAAAAFEI/BsTxcO8XYMs/s640/6StM's+3by1diag+reshel+part.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">This section covers the pentagonal system using the full 3 by 1 diagonal as base, a variation to the basic system described by Bill Buehler.</td></tr>
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<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-yfJJ5cZT9EA/UjMgJA2i3GI/AAAAAAAAFEQ/T9_7-z3o5Ps/s1600/6StM's+3by1diag+reshel+part2+Hillend.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" closure_lm_644986="null" height="362" isa="true" src="http://4.bp.blogspot.com/-yfJJ5cZT9EA/UjMgJA2i3GI/AAAAAAAAFEQ/T9_7-z3o5Ps/s640/6StM's+3by1diag+reshel+part2+Hillend.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">The grid is not shown here, apologies, but the fundamentals are for the development of the 3by1 grid. The base-line(3by1) runs obliquely south - north-east at the bottom of the image with the mid-point axis running NNWest through St Mary's chapel also a 3by 1 diagonal. </td></tr>
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<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-pNEARZoXrlA/UjMgMgZFQ8I/AAAAAAAAFEY/fNUzPn6XHKI/s1600/6StM's+3by1diag+reshel+part2+Hillend+a.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" closure_lm_644986="null" height="362" isa="true" src="http://3.bp.blogspot.com/-pNEARZoXrlA/UjMgMgZFQ8I/AAAAAAAAFEY/fNUzPn6XHKI/s640/6StM's+3by1diag+reshel+part2+Hillend+a.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">somewhat simplified. The two lines from St Mary's to the 3by1 points are themselves 2by 1 diagonals with a 90degree angle between them suggesting a square extended south, not done yet! The other two lines are the Great Pyramid angles which meet at Hillend Fort, not marked but mentioned often in the past.The other two lines meeting west of Perth are five units long.and a natural 3,4,5, triangle is found with the horizontal one unit north of the Ericstane point on the 3by1 diagonal. This also gives a close approximation to the pentagon to be shown later.</td></tr>
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<tr><td style="text-align: center;"><a href="http://1.bp.blogspot.com/-y2vpExHRA7I/UjMgRbbPYzI/AAAAAAAAFEg/ZJpthQQOzDo/s1600/7+StM's+3by1diag+reshel+60d+E+K+to+Inchcolm+near.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" closure_lm_644986="null" height="362" isa="true" src="http://1.bp.blogspot.com/-y2vpExHRA7I/UjMgRbbPYzI/AAAAAAAAFEg/ZJpthQQOzDo/s640/7+StM's+3by1diag+reshel+60d+E+K+to+Inchcolm+near.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">here I have added the equilatral triangle which gives an apex just off the Inchcolm shore. These are the main components of WSBuehler's Basic Reshel system, with an amendment of the pentagon using the full base-line. The original used a shorter side.</td></tr>
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<tr><td style="text-align: center;"><a href="http://2.bp.blogspot.com/-FpqLk-sjWHk/UjMgU07XR_I/AAAAAAAAFEo/wApDQExljFE/s1600/8+StM's+penta+centre+and+spokes.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" closure_lm_644986="null" height="362" isa="true" src="http://2.bp.blogspot.com/-FpqLk-sjWHk/UjMgU07XR_I/AAAAAAAAFEo/wApDQExljFE/s640/8+StM's+penta+centre+and+spokes.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">the penta centre established and the five arms drawn.</td></tr>
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Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com2tag:blogger.com,1999:blog-8870608199537138720.post-5897122955657207812013-09-13T15:22:00.000+01:002013-12-11T23:09:21.165+00:00St. Mary's Chapel - North Berwick Law/Bass Rock grid Part 1The next series of posts details and investigates further the grid I worked on starting some 13/14 years ago, round the turn of the millenium when I had moved to Selkirk from Edinburgh and not only did I become better aquainted with the countryside of the Borders but the geometry kind of 'followed' me! Around that time I was attending a few of the symposia held by the Sauniere Society, which had as honorary president Henry Lincoln, whose geometric findings around Rennes Le Chateau as described in 'The Holy Place' had intrigued me and led to my initial interest in the lanscape of Lothian. At one symposium at Newbattle Abbey, Henry and Erling Haagensen were presenting their work on Bornholm Island in the Baltic, and the associated book, 'The Templar's Secret Island' which I bought there and had it signed by both. I spent many months studying their geometry which was basedon the Danish Kort en Matrikelstyrelsen survey accurate to the milimetre as KenM had used the centre points of the four round churches on the Island as datum points. I had established to my own satisfaction that the basic unit of the hexagonal grid was the modern English mile and that the main axis was (16 times the square of three miles(E)). The square root of three is the altidude of an equilateral triangle of side 2. One half of two is one, so an equilateral triangle can be considered as two right angled triangles with sides (1;sq.rt 3; and 2) with the sq.rt 3 side common.<br />
I had previously found the basis of a grid in the landscape of Lothian and the Borders, centred on St Mary's Chapel, Mount Lothian which is point that was found early in my research, as others had also found and a significant alignment almost due north through Roslin Chapel and the summit of Arthurs Seat and south to a hill top in the Moorfoots, Dundreich. Using maps I had noted that the Bass Rock was at roughly 45 degrees to this line which suggested the diagonal of a square. It was also noted that the line from St Mary's chapel through North Berwick Law was also roughly 45degrees to the said line. I worked away on these two possible grid alignments, completing the square and extending in all directions from St Mary's and incorporating the natural subdivisions of (one and square root of two) squares and circles a quite convincing grid system was found. This extended system also brought the geometry the full distance south to include the area I was now investigating, Selkirk and the Borders.<br />
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The move to Selkirk, ostensibly to write up into book form the stuff I had already found, also coincided with my getting an internet connection and contact with William S Buehler and the introduction to his work on grid systems which also included the landscape I was looking at. Indeed, he had the same St Mary's Chapel line but he had it extended to Seafield tower between Kirkcaldy and Kinghorn in Fife, and Dryhope tower near St Mary's Loch at the head of the Yarrow Valley just a few miles west of where I was now staying, but both these points were outwith the scope of my maps at that time. In the next post I will describe the specific format used by WSB, the basic Reshel system which later on in this process I found using a (3by1)diagonal of the grid which was developing.<br />
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When I had done enough work on the Bornholm geometry which honed my skills with a calculator I returned to the St.Mary's Chapel/Bass Rock system and to my astonishment the distance from St Mary's Chapel to St Baldricks Chapel on the Bass Rock was the exact, to the metre, same distance as the axis on Bornholm!!!!<br />
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This excercise is an attempt to reconstruct this grid in Google Earth, employing a neat application I found where I could draw accuate circles in Google Earth:<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-gQIVwwBWS2k/UjMe2A6JiHI/AAAAAAAAFDc/orHb1725q2w/s1600/St.Mary's+first.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" closure_lm_462363="null" height="361" isa="true" src="http://3.bp.blogspot.com/-gQIVwwBWS2k/UjMe2A6JiHI/AAAAAAAAFDc/orHb1725q2w/s640/St.Mary's+first.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">So, first I created the circle using 'radius round a point' a very handy tool, with St Mary's Chapel as centre and radius (168square root of three)miles which coincides with St Baldred's Church on The Bass Rock. Markinch is found to be on this circumference at 45degrees to The Bass, as its often called.I then drew in western half diagonal and the horizontal square side.</td></tr>
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-JdiyhWjsfvY/UjMe-iNBpsI/AAAAAAAAFDk/j2ObQXTtdjg/s1600/2.+StM's.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" closure_lm_462363="null" height="361" isa="true" src="http://4.bp.blogspot.com/-JdiyhWjsfvY/UjMe-iNBpsI/AAAAAAAAFDk/j2ObQXTtdjg/s640/2.+StM's.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">extension of the axes.</td></tr>
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://2.bp.blogspot.com/-zGvlY8GnZUQ/UjMfCCA50hI/AAAAAAAAFDs/_0dfDvxzRjY/s1600/3.+StM's.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" closure_lm_462363="null" height="362" isa="true" src="http://2.bp.blogspot.com/-zGvlY8GnZUQ/UjMfCCA50hI/AAAAAAAAFDs/_0dfDvxzRjY/s640/3.+StM's.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">completion of the intial square.</td></tr>
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-vr0BQJeOF1g/UjMfFe6DxUI/AAAAAAAAFD0/XzPi_QB-ILY/s1600/4.+St+Mary's+-+NBL.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" closure_lm_462363="null" height="362" isa="true" src="http://3.bp.blogspot.com/-vr0BQJeOF1g/UjMfFe6DxUI/AAAAAAAAFD0/XzPi_QB-ILY/s640/4.+St+Mary's+-+NBL.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">I then began on the North Berwick Law orientation. Now, NBL is 13/16ths of the full distance, exactly, but is extended the full distance so the circle is common. The vertical and corresponding western half diagonal are also shown. All in red.</td></tr>
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-uL7lxAl5qVE/UjMfJncBRNI/AAAAAAAAFD8/-_Fdlc56U8U/s1600/5.+St+M's+-+AS.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" closure_lm_462363="null" height="362" isa="true" src="http://3.bp.blogspot.com/-uL7lxAl5qVE/UjMfJncBRNI/AAAAAAAAFD8/-_Fdlc56U8U/s640/5.+St+M's+-+AS.jpg" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">The blue line is the 'roseline' or Tavhara in WSBuehler's terminology. This line is through Rosslyn Chapel and the summit of Arthurs Seat with Seafield Tower, between Kinghorn and Kirkcaldy where the horizontal from The Bass crosses.</td></tr>
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Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com2tag:blogger.com,1999:blog-8870608199537138720.post-68770236540360123832013-04-17T17:53:00.000+01:002013-04-17T18:38:54.681+01:00Right! Back to work!A quick update. 2012 has been and gone, and so has a third of 2013! My son kindly passed his old laptop to me in January and allowed me to indulge in longer youtube videos and stuff which I couldn't do on my old compromised computer(shockwave flash was a real pain in the backside, and AVG was too!!) and it finally gave up the ghost so I now only have the laptop. I guess I've lost all my google earth stuff, and so will have to re-do the essentials but at least I can perhaps be a bit more methodical as I investigate the Edinburgh grid I was working on, and some other related stuff.<br />
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I've watched all the Ancient Aliens series on youtube, and listened to Coast to Coast AM radio a lot, and also watched a whole lot of stuff to do with alternative energy, zero-point, wind turbines, magnets and rocket stoves and a lot more besides. Also found some interesting geometric links which are very interesting, but can't recall off-hand..<br />
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I find it hard to believe that four months have passed, though!<br />
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and finally a photo of yours truly:<br />
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a self-portrait taken on a walk around Salisbury Crags on my home one Sunday morning last September with Arthurs Seat in background.<br />
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best wishes all<br />
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tom<br />
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<br />Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com1tag:blogger.com,1999:blog-8870608199537138720.post-69081411141314327272012-12-13T15:13:00.000+00:002013-01-15T23:47:43.789+00:00original penta-system in Google EarthIn earlier posts I covered the geometry I had found in detail with full calculations prior to having Google Earth to play with, using full Ordnance Survey coordinates which I think left some totally confused.<br />
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In this post I now want to cover the original pentagonal system I found back in 1995 and to see what connections turn up with the other systems I have discussed, the Mavisbank hexagonal, for instance and perhaps also the grid of the city of Edinburgh which I discovered lately. Well there is quite a lot and it will take some time to cover what I have found already.<br />
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The pentagonal system I found came after months of drawing lines on maps quite a few of which ended up a right mess till I was finally convinced that what I had found was in fact real. A final version was established when the Eagle's Nest spot was discovered linking at least three separate systems, the pentagonal, the Borthwick system and a direct link to the Preston unicorn Cross, with an accuracy somewhat beyond belief, all described previously in this blog.<br />
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I have done this present exercise without reference back to the relevant posts and this first pass throws up some of the queries I struggled with before, but I chose to work this way as some interesting stuff has come up which I want to explore further.<br />
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One advantage of using Google Earth is that true north can be established from any given point whereas the Ordnance Survey grid has only its own specific orientation and a rough guide to magnetic north. True bearings thus difficult to establish! I shall be investigating this aspect later, some intriguing stuff already showing up.<br />
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This first image shows the penta-system in conjunction with the hex-system previously covered. At this stage I have drawn in a double pentagon, which allows for the slack in the system which I struggled with originally and is still possibly pertinent. The line to the left running from bottom slightly west of north to the top, (pale blue then continues pale yellow), was in fact one of the most impressive early lines to be found. Braidwood is a ringed earthwork just west of Penicuik, and the line includes the summits of both Scald Law and Black Hill, through Currie Kirk, and a hillock with a walled circle of trees on its top in a field at Cammo. It was when I took a right-angle from Currie Kirk that Galachlaw was found and the confluence of the two Esk rivers at Dalkeith mentioned in my recent post(First Geometry) which defined the altitude of the original pentagon. The Braidwood - Curriekirk - Cammo line extends both north and south and shall be discussed later.<br />
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In addition, it can be seen that the exact line from Mavisbank through the galachlaw point through the intersection of the initial circle to a 'flower of life' format intersects this Braidwood line at Cammo!<br />
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The initial Mavisbank circle in yellow can be seen to pass through the marker circles of both Galachlaw, the centre of the pentagon and Shewington, a farm house on a ridge to the south of Mavisbank. The line from Shewington connects with Rosslyn Chapel then through Galachlaw to the highest point at the east end of the island of Inchcolm.<br />
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Newbattle Abbey is also on this circle circumference and shall be considered in the next post which shows even more astonishing stuff than all that has been covered previously. (As does the Leith corner in next paragraph.) More new revelations! (TG-15/1/13.)<br />
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The chord from the Leith corner, top-most (unmarked in this image) through the exact summit of Arthurs Seat through Shewington is the orientation which hits the Eagles Nest point exactly.<br />
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click on image for full-screen version!<br />
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<a href="http://1.bp.blogspot.com/-5jMW2c6ut54/UMnvpUcyL4I/AAAAAAAAEcg/UBEVW3uJQ5o/s1600/P19+pent+hex+core+geom.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="271" src="http://1.bp.blogspot.com/-5jMW2c6ut54/UMnvpUcyL4I/AAAAAAAAEcg/UBEVW3uJQ5o/s320/P19+pent+hex+core+geom.jpg" width="320" /></a></div>
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This second image has the secondary hex-circles stripped away and some of the points mentioned above marked. The first point to note is that Rosslyn Chapel can be seen to lie on the line joining the mip-points of two of the pentagon sides and this line extends to/from Braidwood. Rosslyn could be defining an inner system which almost includes the earthwork at Mavisbank. This shall be examined later! I have left the yellow line from Mavisbank to the Scott Monument in as The Scott Monument can be seen to be on the penta-chord from Black Hill to Leith. I have also noticed and confirmed that The Scott Monument is at the midpoint of the upper section of the chord. Again to be looked at later!<br />
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The penta-side from Gyle to Leith crosses Corstorphine Hill , the two lines shown straddling Clermiston Tower, dedicated to Sir Walter Scott! Also, I have included one of the Edinburgh grid lines(orange) which extends to the Gyle/Gogar penta-corner! Also the chord from Shewington to Gyle/Gogar includes Caerketton Hill, and the radius from Galachlaw to Black Hill includes Allermuir, both seen as green mountain symbols!<br />
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<a href="http://3.bp.blogspot.com/-2e7Rh9r8B1s/UMnv1iLTC6I/AAAAAAAAEco/dOy0y9T9DHA/s1600/P20+Cammo+Braidwood.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="271" src="http://3.bp.blogspot.com/-2e7Rh9r8B1s/UMnv1iLTC6I/AAAAAAAAEco/dOy0y9T9DHA/s320/P20+Cammo+Braidwood.jpg" width="320" /></a></div>
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This image is a close-up of the Galachlaw, Shewington, Mavisbank, Rosslyn Chapel configuration!<br />
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Galachlaw cairn, roughly as it is impossible to see it through the trees but I can get the exact coordinates later! The Mavisbank circle (yellow) can be seen to fall a little short, but its close enough for now! Incidentally, the wooded area is somewhat reminiscent of an elephant's head and trunk, don't ya think!?<br />
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A close-up of the chord from Leith to Shewington which includes the summit of Arthurs Seat.</div>
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(Incidentally, Google Earth's green mountain symbol for Arthurs Seat is not quite at the highest actual point as it usually is! )</div>
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A few points of interest:<br />
Braidwood earthwork:<br />
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<a href="http://2.bp.blogspot.com/-VBjfgAYrCjY/UNBXV-hs7fI/AAAAAAAAEd0/Lc995b25ysY/s1600/P21+Braidwood.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="271" src="http://2.bp.blogspot.com/-VBjfgAYrCjY/UNBXV-hs7fI/AAAAAAAAEd0/Lc995b25ysY/s320/P21+Braidwood.jpg" width="320" /></a></div>
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Currie Kirk:<br />
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The clump of trees at Cammo:<br />
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Clermiston tower dedicated to Sir Walter Scott on Corstorphine Hill:<br />
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The Gogar/Gyle penta-corner with Clermiston tower and Cammo clump indicated. This orner is at Maybury, where the railway line cuts across the A8, where the old Redheughs Road met the A8 roughly.<br />
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The Leith corner which has led me a merry dance over the years! The area shown here stretches from the Custom's House in the docks to Queen Charlotte Rooms near Leith Links and includes the King's Wark pub, Lamb's House, Chapel Lane(but no chapel now, as far as I know!), Leith Police Station and the old Church in Constitution Street:<br />
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The confluence of the two Esk rivers in Dalkeith Estate Park, the forehead of the rider in the horse and rider landscape form, with Newton Old Kirk(ruined tower) the dark spot on the light coloured middle line between the bypass and the wooded area of the estate:<br />
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Rosslyn Chapel still with the canopy over it:<br />
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The Shewington penta-corner with the Mavisbank circle passing directly through the farmhouse. There was no open-cast mining going on when I was last there!:<br />
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A section of the side from Leith to Gyle/Gogar between Clermiston Hill and Leith showing Fettest College to the left and Inverleith House on the pink line to the right(Botanic Gardens) and the almost perfect alignment of Inverleith Place and the near alignment of Inverleith Park path, and perpendicular East Fettes Avenue:<br />
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Black Hill and Scald Law summits and penta-corner with the light blue line from Braidwood to Curriekirk and Cammo clump of which I can now show the extensions both to the north and south with a truly astonishing finding:<br />
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To the south the line passes between the two Meldon hills, the black and the white, to the west of Peebles. An interesting area of the Tweed valley, with iron age forts and settlements, a Roman Fort and Lyne kirk and so on. This gap came up in another system many years ago(2000/1) related to a golden ratio rhombus described by William S. Buehler, mentioned many times preiously, involving the triangle defined by Inchcolm, Rosslyn Chapel and the Black Hill. I can't recall off hand all the details but I guess the link between Inchcolm and the Meldon gap was an alternate system I had introduced, using Inchcolm - Rosslyn as phi^2(phi-squared or 2.618034), the hypotenuse, and the other two sides of sq.rt phi(1.27202) and one(1). Mathematically that works but whether this gives the orientation to the Meldon gap, I would have to check! This just came to mind as I typed so this task is added to the list: To Do!<br />
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I've got some photos of the Meldons which I shall include later, along with photos of other points mentioned in all the GE stuff!:<br />
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This is interesting but its when this line was extended north that my socks blew off!<br />
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Scone Penta-maze! Exact to the 100th of one degree! <br />
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The Arthur Sear line, the one that extends to Rennes Le Chateau is in green. The difference in orientation of the two is 10.02degrees, 1/36th of a circle! Remembering also that these two lines were two of the first I found some 19 years ago! I still have more to show, just discovered, but at least I publish this stuff on 20/12/12, one day prior to the 21/12/12 solstice date, we all await with interest!Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-30259428070895255492012-11-01T20:59:00.001+00:002012-11-20T17:22:13.556+00:00Mavisbank, Sir John Clerk of Penicuik, Cammo and Edinburgh gridAfter some further development of the Edinburgh grid found to be exactly(to two decimal degree points) perpendicular to the Scone - Holyrood Abbey/Arthurs Seat - Rennes Le Chateau line shown in the last post, I decided to get back on my original track and do in Google Earth the Mavisbank hexagonal system described a few years ago. This was discovered, by me at any rate, way back in 1994/5, and calculated by hand using Ordnance Survey co-ordinates, with an earthmound at the back of Mavisbank House as centre, and Newtongrange Church defining radius and orientation. The radius was found to be some 5000 Scottish ells, as defined by John Reid in 1693 in the first book of gardening for Scottish conditions, The Scots Gardner. Now 5000 Scottish ells is approximate(99.983%) to the radius of churches in the Rennes Le Chateau area, described by Henry Lincoln in The Holy Place. He gives this radius as 2miles 1618yards, which equates to 4999.135135 ells, a discrepancy of some 2.6 feet. (nb 1618 is Phi as commonly used, and used by Lincoln as a mnemonic!)<br />
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Mavisbank House was built by Sir John Clerk of Penicuik, whose memoirs I have finally read finding it available for download recently: <a href="http://archive.org/stream/memoirsoflifeofs13cler#page/n3/mode/2up">Memoirs of the life of Sir John Clerk of Penicu...</a>, and is well worth a read for those who are interested in the subject of The Treaty Of Union, 1707. Clerk was one of the Commisioners who worked on the details of the Treaty, and gives a personal account of the whole process and describes the factions and characters involved and a running commentary on the main events of the early eighteenth century, up to and beyond the '45 rebellion. I found this fascinating, but of interest also was his land dealings, he also owned Cammo estate near Cramond as well as the estates of Penicuik and Mavisbank. In this excercise both Mavisbank and Cammo are featured, and Penicuik generally.<br />
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As mentioned above the centre of the circle is the earthmound to the rear of the House and in his memoirs is a note by the editor, page 249, and additional notes, note M, p. 115, giving a quote by a Professor James: ''Behind the house rises, in green abruptness, a trenched Roman Camp, which must have been dear to the Baron's reverently antiquarian soul.''<br />
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There is also quite a bit of coverage of the work he did in enclosing and developing the estate of Penicuik which is also of interest although not of relevant for now!<br />
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I have so much to cover and am way behind in this side of the work, so on to the presentation of this system of geometry. Again some more astonishing findings, and I have to remind myself I am not making this up, but <br />
are merely extending what I have had for years now, without the benefit of Google Earth!<br />
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So, the circle centred on Mavisbank, with radius that defined by Henry Lincoln at Rennes Le Chateau, and using Newtongrange Church as orientation, with Allermuir to the Camp Ridge as line of sight:<br />
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although neither are marked here Allermuir is indicated by the second mountain symbol, the most left of the two outside the circle to the left.<br />
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From here a 'flower of life' can be constructed by drawing in circles of the same radius round the circumference starting from Newtongrange where the circles intersect:<br />
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It is possible to draw in the hexagon using these found points, but what I want to do is extend the radial lines through these from Mavisbank:<br />
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There are two points of immediate interest. <br />
First: The yellow radial in the first image running (NNW - SSE) can be seen to run into the centre of Edinburgh and in the second with some of the previous grid included shows a very intriguing link with Mavisbank. This line extended to the circumference of the secondary turquoise circle cuts directly through the the spire of St. Giles Cathedral and meets the circumference, which cuts through the Scott Monument in Princes Street Gardens directly opposite South St. David's Street, named after David Hume the philosopher of the Enlightenment period(18th century), called 'Le Bonne David' by Voltaire(if memory serves right). In the second image below St. Giles and the Scott Monument are marked(reminder: clik on the image for a full screen shot!). Very intriguing! And in the next post I shall show another link with this point, only just discovered.<br />
In the image below the square found from previous post defined by Heriot's School(originally hospital founded George Heriot in the 16th century) and the 'face' in the crags near Holyrood, and Pilrig with the exact 45d diagonals included, the line from the centre of this square parallel to the sides and cutting the Heriot's/ face line at the <u>exact</u> mid-point extended goes exactly to the Mavisbank earthmound, as can be seen in the above image. Totally unexpected!<br />
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There are many interesting points found on the circumferences of the circles shown, but too many to investigate for now. I am still too amazed by certain of the connections found to give them all sufficient attention! This first interaction between the City grid defined by the Scone/Holyrood line and this hexgaonal system which I repeat I have known of for over 15 years is astonishing, but it gets even more so later.<br />
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The second radial extension I wish to show goes straight to Cammo House(ruin) to within a few feet actually!<br />
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Not only that but the grid line from Mavisbank intersects the right angled return from Cammo House at the corner of Starbank Park on the coast just west of Newhaven.<br />
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A one time nice ornamental garden, now neglected!<br />
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So, a lot to ponder and look at again, after I catch up on the other stuff I have found recently linking into all this and piling on the astonishment factor even more!<br />
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<br />Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com0tag:blogger.com,1999:blog-8870608199537138720.post-66828704369893901242012-09-14T13:24:00.001+01:002012-10-03T16:19:32.258+01:00Scone - Arthurs Seat - Rennes Le ChateauWhile investigating the Scone Palace Holyrood Abbey/Palace line my attention was diverted to a garden maze/floral design in the shape of a pentagon with curved sides and Celtic knot-work interior:<br />
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Due to my original exploratory line being just to the east of Scone estate, and prior to establishing the exact above line, I had the urge to connect it to Arthurs Seat summit exact, with an amusing , somewhat intriguing find:<br />
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<a href="http://3.bp.blogspot.com/-8XXg1cLS_08/UFMU8G7rI0I/AAAAAAAAEVM/GBikjuT5yv4/s1600/Scone+penta+-+A.S.2b.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="216" src="http://3.bp.blogspot.com/-8XXg1cLS_08/UFMU8G7rI0I/AAAAAAAAEVM/GBikjuT5yv4/s320/Scone+penta+-+A.S.2b.jpg" width="320" /></a></div>
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In a field in north Fife a hexagonal fenced off plantation, just west of the line! The pentagon and hexagon on the same rough alignment! The Scone Palace - Holyrood Palace line runs just to the other side of this line, not shown, but a similar distance. This led me to follow this line closely down to Arthurs Seat and to the south of the River Tay, Moncrieffe Hill, around which can be seen ring ditches and a cute spiral pathway to the summit:<br />
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n.b.: the lines tend to disappear when encountering high terrain when zooming in, since the source being in Scone estate is somewhat lower, being 'clamped to ground' in Google Earth the line tends to cut through intervening high spots.<br />
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An overview of this line shows the Burntisland mast included on this alignment, and Bishop's Hill at Loch Leven being close (the orange line is my original trial line!):<br />
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This exercise originally developed into extending some lines to extreme of Great Circles and finding so much of a volcanic nature, so the impulse was to at least extend this line north to see what emerged. I won't dwell too long on this, just to mention that it extends to a high point at the Faroe Islands and also through Loch Migdale, the subject of an episode I saw recently of Timeteam, most notably including a Crannog, stone circle, a hill to the east and a hoard of things found nearby:<br />
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A few other high points are indicated, as well as the Culloden area, and Butterstone near Dunkeld, where again recently I heard a Radio Scotland programme in which Dougie Maclean, singer/ songwriter/fiddler who has a studio there, was being interviewed. He took the interviewer on a walk into the hills and lochs of the area and mentioned a monument built by some local gent who worked in Edinburgh who reckoned to be able to see Edinburgh from the spot, and when of a mind he could see from Edinburgh. Well it would have to be a high point in Edinburgh, of which Arthurs Seat would be the most convenient!<br />
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To finish for today I want to show what happened when I zoomed out even more and a connection way to the south looked possible:<br />
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Rennes Le Chateau, exact :<br />
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Quite astonishing! <br />
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I finish with a couple of images of the line as it passes through Scotland and England. The light blue marker is where it intersects some of W.S.Buehler's recent formations, not shown here, for now:<br />
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The middle image is of a round arched doorway at Temple mentioned previously. The arch itself not discernible, but it's shadow can be seen. This whole field possibly contains other remains of which I have heard tales, but have not researched further.<br />
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Click on any of the images and a large screen slideshow of all the images appears which can be scrolled through!Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com2tag:blogger.com,1999:blog-8870608199537138720.post-69107297165455286212012-08-24T00:15:00.003+01:002012-09-05T08:31:19.176+01:00First Geometry 1994Sometime last week I awoke with an image still in mind of when I first realized there was possibly some geometry in the landscape round Edinburgh. I had been considering using Google Earth to display all my early stuff, described in this blog but using hand drawn or computer graphics and it all too soon got very complicated. Now that the Olympics are over I can devote more time to this. (Having been side-tracked from my intention of covering the Skellig Michael line mentioned at the end of last post. More on later!)<br />
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Way back in 1994 I had acquired Henry Lincoln's 'The Holy Place' in which he presents his geometry findings in the Rennes Le Chateau area of southern France, coupled with 'The Temple And The Lodge' by his two co-authors of 'The Holy Blood And The Holy Grail', and 'The Messianic Legacy', Michael Baigent and Richard Leigh.<br />
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'The Temple And The Lodge' had mentioned Rosslyn Chapel and Temple village, originally Balantrodach, 'Stead of the Warrior' I believe, and also a mysterious head which gazes out at the unwary passer-by down in Roslin Glen, which intrigued me and started me off on my searches of the landscape I had grown up in. (It is shown in the Header of this blog and is covered in an early post.)<br />
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I had also recently become a taxi driver and this enabled me to see the whole area in greater depth and detail, which was a definite bonus!<br />
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One day I happened to be coming back in from Lasswade and at the top of a ridge at Gilmerton Dykes there is a T-junction with Langloan which gives a panoramic view of Edinburgh and the Esk Valley and the Firth of Forth and Moorfoot, Pentland and Lammermuir Hills so I stopped to have a look.<br />
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To the northeast is Arthurs Seat with Dunsappie on its right flank and Salisbury Crags forming a notch on its left.<br />
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Through this notch can be seen a radio mast behind Burntisland in Fife(barely discernible in this photo), and it was when checking this on the map that the first hint of a possible alignment showed! I found that through this notch Holyrood Abbey/Palace, Pilrig Church and Pilrig House were on a near straight line along with some other interesting points. The Burntisland radio mast is a bit to the side of the line connecting these three sites from the road junction!<br />
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And in the opposite direction the village of Temple was also included on the line, though not shown here. More on that later.<br />
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While scanning the landscape I noted that somewhere near Caerketton in the Pentlands to the south west would form a right angle(90d) with this line and that somewhere around Carberry Tower/Hill would also form 90d to the north east. Checking on the map the exact 90d just missed the summit of Caerketton and touched the edge of the Carberry Estate. It also did connect with Newton Old Church(tower/ruin) and clipped the confluence of the two Rivers Esk(north and south) in Dalkeith Estate, which was to prove important in developing the penta-system described previously.<br />
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All good and well, a start has been made, and many months years decades later I can perhaps present my findings in a neater form! Except I couldn't resist extending the first line to the north to see what turns up! And needless to say something astonishing happened! Leaving in suspense till next time!<br />
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30th August<br />
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As I was saying, doing this in Google Earth I couldn't resist extending the original line north. This is the first time I have done this, as originally back in 1993/4 G.E. didn't exist, and using only Ordnance Survey maps I was restricted in the area I could examine. So extending north through Fife and across the river Tay the line passed just east of Perth and passed through the estate of Scone the site of Moot Hill where Scottish kings were crowned. <br />
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In these images I have tweaked the line a little to exactly pass through Holyrood Palace, Pilrig Church and Pilrig House, as I had originally found from the maps.<br />
Pilrig House sits in Pilrig Park and is an Old Folks Home now, but was the home of the Balfours(of Pilrig), and I believe included a Prime Minister of Britain, and I found it intriguing that Robert Louis (Balfour) Stevenson was related, and the name is of course used for the hero of Kidnapped, David Balfour, and that Stevenson himself was of the Lighthouse Stevenson's, although chose a career as a writer.<br />
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Pilrig church can be seen from Pilrig House, but not much else. I would like one day to get into the House and look out through the little round window above the front door!<br />
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Anyway, it was this alignment which got me started way back in 1994. I could write a lot more about the early development of the geometry, perhaps more some other time!<br />
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What I need to do now is show what I have found from this session with Google Earth as it eventually ties in with what I have doing recently.<br />
As previously said I extended this precise line to Scone and was totally astounded to find:<br />
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A direct hit on the Palace/House. Totally unexpected! Some 18 years after I first got some inkling of a geometric alignment in Edinburgh, and all that I have found since, I now find that original alignment connecting Holyrood Palace with Scone Palace!<br />
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Even as I sit here to reflect, I now see that this precise alignment defines the lay-out of the New Town of Edinburgh, which I can not leave unverified! So, let's see what happens when I check this out:<br />
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Precise to two decimal degree places, from Carlton Terrace, over Calton Hill and straight along Princes Street, the Holyrood - Scone line on a bearing of 342.61degrees, the three right-angled lines shown bearing: 252.61degrees. I have included the Old Town Royal Mile from Holyrood Abbey to the Castle and the George Street line from West Register House which goes through Charlotte Square and St Andrew Square.<br />
Thus the New Town grid is defined! That the New Town runs roughly parallel to the not quite straight Royal Mile was always somewhat obvious, but to be at an exact right-angle to the Holyrood-Scone line I did not realize!<br />
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31st August<br />
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After posting the above I did play around a bit and came up with some interesting stuff, but shall limit myself to showing just one intriguing finding, for now at least! In a previous post I made much of a large face in Salisbury Crags near Holyrood Palace which even overlooks the Scottish Parliament, and have often wondered if any of our representatives have gazed out and thought they were seeing things!<br />
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Well the original line does in fact cut straight through it, and I had recently taken some more photos of it having noticed this:<br />
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The fence on the left is Holyrood Palace, the Sottish Parliament is to the right of where I was standing. I purposely took this photo from quite a distance because when I show a close-up everyone sees different things(myself included!). This I think shows the face clearly framed by the trees.<br />
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This image shows the Crags Face, with an exact(bearing: 252.61d) alignment to George Heriot's School, with an exact(27.61d) 45degree return to Pilrig, not quite the Church, but where the old Boundary Bar was, but is now called City Limits, directly opposite the Church and the top of Pilrig Street, where Leith Walk proper starts!<br />
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A possible exact square with sides 0.98 miles and diagonal 1.38 miles. I have not included the full square(s), as I want to conclude this exercise and it will take some time to explore the possibilities fully!<br />
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I will point out though that this diagonal exactly hits the top of St Giles Cathedral spire:<br />
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The observant of those who know Edinburgh may also note that the line from the Face to Heriot's includes the south-east corner of Old College and Greyfriar's Church is in the angle of side and diagonal. The City Chambers is also on the diagonal across the street from St. Giles, and the National Library is also on the diagonal!<br />
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Reminder: click once on any image and a full screen slideshow will open for better viewing!<br />
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Enough for now, I need to return to the main line, but first go drive the taxi for another fun filled Friday night in the Old and New Town!!<br />
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5th September<br />
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So, just to finish this section I extended this line to the south past Temple kirk with a ouple of high spots for line of sight purposes tp finish some 300yards from Hermitage Castle north of Newcastleton:<br />
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and the full line from Scone Palace to Hermitage Castle:<br />
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I shall finish here for now! There's still a lot to be done on this alignment, not least the grid of Edinburgh New Town! Next I want to look at a slight variation on this line which when extended was quite astonishing!Tom Graham - Landscape Geometryhttp://www.blogger.com/profile/13216781341499176634noreply@blogger.com1