Thursday 13 December 2012

original penta-system in Google Earth

In 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.

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.

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.

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.

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.

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.

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!

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.

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.)

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.

click on image for full-screen version!

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!

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!


This image is a close-up of the Galachlaw, Shewington, Mavisbank, Rosslyn Chapel configuration!


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!?



A close-up of the chord from Leith to Shewington which includes the summit of Arthurs Seat.
(Incidentally, Google Earth's green mountain symbol for Arthurs Seat is not quite at the highest actual point as it usually is! )



A few points of interest:
Braidwood earthwork:



Currie Kirk:



The clump of trees at Cammo:


Clermiston tower dedicated to Sir Walter Scott on Corstorphine Hill:


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.




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:


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:


Rosslyn Chapel still with the canopy over it:


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!:


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:


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:


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!


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!:


This is interesting but its when this line was extended north that my socks blew off!


Scone Penta-maze!  Exact to the 100th of one degree!


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!