grid overview

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.
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,

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.

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.

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.

This grid has intrigued me since first discovered back in 1999/2000 and re-inforced after the Bornholm work in 2003/4.

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!

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!

St Mary's grid conclusion(for now)!

happy 2014 y'all!

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.

I have to admit to a general lack of insentive and basic laziness, having become a youtube junky somewhat over the past months!

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.

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!

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:

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!

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:



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.

 

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:

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!

The two mauve lines from the two (3by1) ends form an equilateral triangle at Inchcolm island.

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.

the last image here is a closer look at the main construction area of the (3by1) system, with the relevant elements of the grid.

Points of Note:

1. 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.
2. 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.
3. 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!
4. 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.
5. 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.

OK Pub time! T  

Ness of Brodgar -with reference to Giza

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.

Castle mey in the above image and Balmoral/Lochnagar in the image below

Balmoral and Lochnagar

East Lomond Hill and Falkland Palace

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.

the two outer lines of the three showing Tron Kirk and Blackford Observatory on the eastern and the penta-cantre close by the western.

The eastern line continued south past St. Mary's chapel on to Caedmuir Hill and Dun Rig.

Ben Lawers pentagon extensions




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.

 

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)

Snowdon

the Ben Lawers-Snowdon line nearly tangential to the circle and penta corner!

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!

the Ben Lawers perfect parallel to penta side virtually the same discrepancy as the western north/south line to Snowdon. 

Newbridge Tumulus and Abercorn Church and the inner penta chord which extends to Ben Lawers.

Penicuik House/Estate

St. Mary's grid (full) penta development.

Development of the penta system introduced in previous post.

The penta elements are coloured yellow in this set of images.

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.

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.

the completed penta-star.

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.

completion of the pentagon.

the same figure as above but with the grid system changed to green perhaps clearer.

St.Mary's grid part2 - North Berwick Law grid development

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.

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. 

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.

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.

the penta centre established and the five arms drawn.

St. Mary's Chapel - North Berwick Law/Bass Rock grid Part 1

The 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.
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.

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.

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!!!!

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:


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.



extension of the axes.

completion of the intial square.

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.

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.