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In the book 'Cracking the Megalithic Code ' 'Book Three - Stonehenge - The Eclipse' it is left to the reader to work out the mechanics of what is happening mathematically at the Stonehenge Aubrey Circle. A couple of readers have advised me it would be worthwhile explaining this process.

The starting point is page 47 of 'Megalithic Sites in Britain' published by Oxford University Press written by Professor Alexander Thom then Professor of Engineering Science at the University. He has left a permanent mark of this hallowed institution as the current engineering block has been named after him. Apparently when he was lecturing there was always a queue to get in.

the first paragraph on page 47 :
Turning to the large circles beyond the range of 5.1 we find

Aubrey Holes Stonehenge diameter 105 MY giving perimeter 329.87
Avebury 9inner ring0 D 125 MY P 392.7
Brodgar 125 392.7
Stanton drew 137 430.39

The next sentence is considered to be key

If these circumferences are all intended to be multiples of 2 and 1/2 we can write them 330, 392.5 and 430 giving the interesting approximations for Pi :
3 and 1/7
3.14 and
3.139

Thom failed to include another approximation.

392.7/125 = 3.1416 exactly - again this is posibly a key omission.

Immediately there is a very strong suspicion that the builders were manipulating Pi.

Three stand out values are 22/7, 31416/10000 and 314/100 especially relevant when Thom suspected that base 100 was universally sacred.

Is there any evidence that these values are related.

A 22/7 - B 31416/10000 = C 0.001257143

A/C = 2500 exactly
B/C = 2499 exactly.

When 22/7 and 314/100 are put into the simple eqation the two numbers peoduced are 1100 and 1099 exactly.

It could be argued that this ia a case proved. Does Thom suggest anywhere in his book that there is evidence that the builders were experimenting with variable Pi approximations.

On page 76 discussing the design of Woodhenge, it is stated.

' One wonders how many rings were set out before the builders discovered that every 20 yards they added to the circumference gave them the same increment to the radius/ ( actually 10/Pi ){base 10 again}

I could go on about Thom's discoveries in this chapter but it will spoil it for any subsequent readers ll limit it to the conclusion once the 12, 35, 37 Pythagorean triple is uncovered.

' The discoverey of this triangle must be considered as one of the greatest achievements of the circle builders. that they themselves considered it important is shown by the use they made of it at Woodhenge.'

Archaeologists have suggested that Woodhenge was probably a roofed structure, possible a meeting place an alehouse.

So this evidence suggested that possibly there was a Pi unit that worked with Thom's megalithic yard.
It took an age to find it but eventually is surfaced by chance when analysing the Aubrey circle. based on anlysis of Thom's total outputs in his first book the suspicion was that a year of 364 days was used starting after the midwinter reset of the setting Sun determined the start of a new 364 day year.

I tried all sorts of permutations of this number in the Aubrey and it was number 91 or one season(sarsen) that did the trick. It gives three constants at the Aubrey circle. The circumference 897.60, Pi as 22/7 giving a diameter of 285.60 and the variable number 91.

285.60/91 is 3.138461538 and it took another age to work out that this number is actually 1632/520 and can be restated as 40.80/13.

Did this version of Pi test against 31416/10000, yes it did!

A 31416/10000 - B 16320/520 = C 0.003138462

A/C = 1001 and B/C = 1000 so Thom's Pi base is 1000, This from a researcher who tells us base 1000 is universally sacred,

So there is the Aubrey circle

40.8/13 x 22/7 = 897.60/91.

Thom's suspected adjusted value is 330 megalithic rods and this is 330 x 2.72 = 897.60.

So I wanted a denominator of 364 so both values of pi are restated as

81.6/26 and 44/14 giving 364

But also 176/56 gives the mile in yards and what does this produce?

163.2/52 x 176/56 = a denominator of 364 x 8 or 2912

So using this explanation 8 Asimov years are represented at Stonehenge.

The Asimov year is suggested in Asimov's non fictional book 'The Tradgedy of the Moon' where he suggests it is the best possible design of a soli lunar astronomical year and we should start using it immediately because no one will ever invent a better one.( No shrinking violet he!!)

So the structure of the Aubrey circle can be examined.

The initail diamter is 91 or 7 x 13. These are the two base units in the Pi denominators.

The next step is to multiply by one of the Pi units and 40.8/13 is chosen.

91 x 40.8/13 = 285.60 (as well as being confirmed by Thom this value is also confirmed in a paper by Mike Parker Peason).

So the other value of Pi is now used as 22/7 to give 897.60.

So now we can work it the other way.

91 x 22/7 = 286 x 1632/520 = 897.60 the same version of the Aubrey with a different diameter.

The two versions of Pi produce a difference in the diameter of 0.4 imperial feet and somewhere withib this difference lies real Pi.

The Aubrey diameter appears to be a sliding scale producing real Pi between 285.60 and 286 imperial feet with a fixed perimeter of 897.60 feet and this level of complexity suggess Thom was probably correct when he suggested that the circle builders had more brainpower than he had.

The evidence suggests deliberate manipulation of Pi.
Knowledge of the location of real Pi between two manipulated values.
Evidence thst different Pi units were used for different systems.
Thom Pi is base 1000.
The Pi units are soli lunar as 56 and 52 for the denominator abd 1632 (the nodal cycle and 1760 the saros cycle for the numertors.

the eclipse danger periods can also be monitored using number 52 x 0.666r as 34.6666r and the saros eclipse unit is embedded in the imperial numerator as 176/12.



Edited 1 time(s). Last edit at 05-Jan-18 19:05 by DavidK.

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David Kenworthy Cracking the Megalithic Code 5190 molder 27-Sep-17 17:03
Re: David Kenworthy Cracking the Megalithic Code 1270 molder 03-Oct-17 20:54
Re: David Kenworthy Cracking the Megalithic Code 936 DavidK 22-Dec-17 23:40
Re: David Kenworthy Cracking the Megalithic Code 744 magisterchessmutt 25-Dec-17 16:52
Re: David Kenworthy Cracking the Megalithic Code 589 magisterchessmutt 25-Dec-17 17:20
Re: David Kenworthy Cracking the Megalithic Code 622 DavidK 27-Dec-17 16:42
Re: David Kenworthy Cracking the Megalithic Code 590 magisterchessmutt 28-Dec-17 02:37
Re: David Kenworthy Cracking the Megalithic Code 623 magisterchessmutt 28-Dec-17 05:35
Re: David Kenworthy Cracking the Megalithic Code 648 DavidK 28-Dec-17 14:21
Re: David Kenworthy Cracking the Megalithic Code 492 DavidK 19-Jan-18 13:05
Re: David Kenworthy Cracking the Megalithic Code 551 molder 19-Jan-18 22:57
Re: David Kenworthy Cracking the Megalithic Code 486 DavidK 21-Jan-18 22:27
Re: David Kenworthy Cracking the Megalithic Code 513 molder 22-Jan-18 00:13
Re: David Kenworthy Cracking the Megalithic Code 500 DavidK 22-Jan-18 09:55
Re: David Kenworthy Cracking the Megalithic Code 431 cloister 22-Jan-18 11:01
Re: David Kenworthy Cracking the Megalithic Code 431 DavidK 22-Jan-18 12:30
Re: David Kenworthy Cracking the Megalithic Code 407 cloister 22-Jan-18 12:40
Re: David Kenworthy Cracking the Megalithic Code 430 DavidK 22-Jan-18 13:15
Stonehenge, Brodgar Ring and Thom 537 DavidK 22-Jan-18 13:32
Re: David Kenworthy Cracking the Megalithic Code 439 cloister 22-Jan-18 16:34
Re: David Kenworthy Cracking the Megalithic Code 437 DavidK 17-Mar-18 17:24
Re: David Kenworthy Cracking the Megalithic Code 487 DavidK 17-Mar-18 17:30
Re: David Kenworthy Cracking the Megalithic Code 677 DavidK 03-Jan-18 23:58
Re: David Kenworthy Cracking the Megalithic Code 544 DavidK 05-Jan-18 18:27
Re: David Kenworthy Cracking the Megalithic Code 578 DavidK 05-Jan-18 20:55
Re: Michell's Canon of Ancient Measure 461 DavidK 05-Jan-18 23:48
Re: Michell's Canon of Ancient Measure 459 molder 06-Jan-18 01:18
Re: Michell's Canon of Ancient Measure 540 DavidK 06-Jan-18 09:51
Re: Michell's Canon of Ancient Measure 611 magisterchessmutt 06-Jan-18 11:56
Re: Michell's Canon of Ancient Measure 527 DavidK 07-Jan-18 11:14
Re: Michell's Canon of Ancient Measure 563 DavidK 10-Jan-18 14:23
Eclipse Measurements on Salisbury Plain. 533 DavidK 08-Jan-18 22:07
Re: David Kenworthy Cracking the Megalithic Code 431 DavidK 19-Jan-18 12:47
Extracts from another website 487 DavidK 19-Jan-18 13:31
Re: Extracts from another website 428 DavidK 22-Jan-18 20:31
Re: Duplication of the cube 431 molder 22-Jan-18 23:24
Re: Extracts from another website 501 Dr. Troglodyte 22-Jan-18 23:25
Re: Extracts from another website 513 DavidK 23-Jan-18 10:41
Re: Extracts from another website 440 molder 23-Jan-18 12:10
Re: Extracts from another website 462 cloister 23-Jan-18 14:05
Re: Extracts from another website 491 molder 23-Jan-18 21:52
Re: Extracts from another website 471 DavidK 24-Jan-18 09:59
Re: Extracts from another website 379 molder 24-Jan-18 11:39
Re: Extracts from another website 456 rodz111 24-Jan-18 18:59
Re: Extracts from another website 428 DavidK 24-Jan-18 21:12
Re: David Kenworthy Cracking the Megalithic Code 467 DavidK 24-Jan-18 12:03
Re: David Kenworthy Cracking the Megalithic Code 424 DavidK 25-Jan-18 07:06
Re: David Kenworthy Cracking the Megalithic Code 409 molder 25-Jan-18 12:19
Re: David Kenworthy Cracking the Megalithic Code 418 molder 25-Jan-18 12:36
Re: David Kenworthy Cracking the Megalithic Code 469 DavidK 25-Jan-18 13:50
Re: David Kenworthy Cracking the Megalithic Code 411 DavidK 25-Jan-18 13:43
Re: David Kenworthy Cracking the Megalithic Code 462 DavidK 25-Jan-18 09:41
Re: David Kenworthy Cracking the Megalithic Code 418 DavidK 27-Jan-18 12:17
Re: David Kenworthy Cracking the Megalithic Code 543 rodz111 28-Jan-18 09:54
Re: David Kenworthy Cracking the Megalithic Code 411 DavidK 28-Jan-18 20:49
Re: The Saros 523 molder 28-Jan-18 23:13
Re: The Saros 474 DavidK 29-Jan-18 12:25
Re: David Kenworthy Cracking the Megalithic Code 470 rodz111 29-Jan-18 16:38
Re: David Kenworthy Cracking the Megalithic Code 448 DavidK 29-Jan-18 17:07
Re: David Kenworthy Cracking the Megalithic Code 441 rodz111 29-Jan-18 18:04
Re: David Kenworthy Cracking the Megalithic Code 431 molder 30-Jan-18 06:05
Re: David Kenworthy Cracking the Megalithic Code 439 rodz111 31-Jan-18 21:24
Re: David Kenworthy Cracking the Megalithic Code 427 molder 29-Jan-18 22:32
Re: David Kenworthy Cracking the Megalithic Code 435 DavidK 30-Jan-18 10:06
One last shot 449 DavidK 30-Jan-18 13:40
Re: David Kenworthy Cracking the Megalithic Code 546 rodz111 30-Jan-18 18:11
Whay lies between SH and the GP? 411 DavidK 31-Jan-18 07:00
The Megalithic and Saxon Yard Relationship 468 DavidK 31-Jan-18 10:02
Re: The Megalithic and Saxon Yard Relationship 370 DavidK 31-Jan-18 21:12
Re: The Megalithic and Saxon Yard Relationship 396 cloister 31-Jan-18 21:28
Re: The Megalithic and Saxon Yard Relationship 416 DavidK 01-Feb-18 08:49
Re: The Megalithic and Saxon Yard Relationship 445 cloister 01-Feb-18 09:39
Re: The Megalithic and Saxon Yard Relationship 540 DavidK 01-Feb-18 10:05
Re: The Megalithic and Saxon Yard Relationship 418 cloister 01-Feb-18 12:01
Re: The Megalithic and Saxon Yard Relationship 419 DavidK 01-Feb-18 14:44
Re: The Megalithic and Saxon Yard Relationship 438 cloister 01-Feb-18 20:23
Re: David Kenworthy Cracking the Megalithic Code 497 DavidK 29-Jan-18 19:39
The New SH GP calculator 443 DavidK 02-Feb-18 10:04
The Basic Model 446 DavidK 02-Feb-18 10:40
For Horatech 445 DavidK 02-Feb-18 10:50
Re: The New SH GP calculator 484 molder 03-Feb-18 04:16
Re: The New SH GP calculator 484 DavidK 03-Feb-18 23:28
putting 56 back into the GP using the sekhed 431 DavidK 04-Feb-18 10:37
Re: putting 90720 back into the GP 453 DavidK 04-Feb-18 10:44
Re: putting 90720 back into the GP 532 rodz111 04-Feb-18 13:30
Re: putting 90720 back into the GP 459 DavidK 06-Feb-18 15:41
Re: putting 90720 back into the GP 618 rodz111 06-Feb-18 18:13
Re: putting 90720 back into the GP 444 DavidK 06-Feb-18 22:24
Re: David Kenworthy Cracking the Megalithic Code 424 DavidK 06-Feb-18 15:56
evidence for use of base 100 at SH and GP 452 DavidK 07-Feb-18 10:49
why 2.7207 feet per Hugh Franklin? 424 DavidK 07-Feb-18 12:37
Re: why 2.7207 feet per Hugh Franklin? 544 DavidK 07-Feb-18 15:29
Standard cubit 19.8 inches 544 DavidK 08-Mar-18 09:16
The Stonehenge Cubit 20.4 inches 561 DavidK 22-Mar-18 10:03
Re: The Stonehenge Cubit 20.4 inches 531 Manu 31-Mar-18 17:21
Re: The Stonehenge Cubit 20.4 inches 523 DavidK 06-Apr-18 22:26
the Giza Template 517 DavidK 30-Mar-18 05:12
Re: the Giza Template 471 DavidK 14-Oct-18 21:57
Re: David Kenworthy Cracking the Megalithic Code 440 DavidK 12-Oct-18 21:21
Re: David Kenworthy Cracking the Megalithic Code 277 DavidK 16-Mar-19 23:50
Re: David Kenworthy Cracking the Megalithic Code 234 rodz111 17-Mar-19 14:54
Giza Great Pyramid design Proposal 316 DavidK 17-Mar-19 10:38
Re: Giza Great Pyramid design Proposal the royal cubit 20.736 imperial inches 277 DavidK 26-Mar-19 15:07
Re: Giza Great Pyramid design Proposal the royal cubit 20.625 imperial inches 286 DavidK 04-Apr-19 13:17
Finding the ancient metre in the GP base 39.375 inches 256 DavidK 08-Apr-19 14:22
Re: Giza Great Pyramid design Proposal the royal cubit 20.736 imperial inches 89 DavidK 22-Dec-19 18:09
Re: Giza Great Pyramid design Proposal the royal cubit 20.736 imperial inches 72 molder 23-Dec-19 10:47
Re: Giza Great Pyramid design Proposal the royal cubit 20.736 imperial inches 70 DavidK 23-Dec-19 11:42
Re: Giza Great Pyramid design Proposal the royal cubit 20.736 imperial inches 90 magisterchessmutt 23-Dec-19 12:48
Re: David Kenworthy Cracking the Megalithic Code 225 DavidK 25-Apr-19 21:52
Re: David Kenworthy Cracking the Megalithic Code 248 DavidK 21-May-19 23:59
Re: David Kenworthy Cracking the Megalithic Code 102 magisterchessmutt 22-Dec-19 22:24
Re: David Kenworthy Cracking the Megalithic Code 94 molder 23-Dec-19 10:38
Re: David Kenworthy Cracking the Megalithic Code 89 magisterchessmutt 23-Dec-19 12:25
Re: David Kenworthy Cracking the Megalithic Code 64 DavidK 13-Jan-20 15:51
Re: David Kenworthy Cracking the Megalithic Code 95 DavidK 15-Jan-20 22:12


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