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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.

Subject Views Written By Posted
David Kenworthy Cracking the Megalithic Code 5447 molder 27-Sep-17 17:03
Re: David Kenworthy Cracking the Megalithic Code 1422 molder 03-Oct-17 20:54
Re: David Kenworthy Cracking the Megalithic Code 1038 DavidK 22-Dec-17 23:40
Re: David Kenworthy Cracking the Megalithic Code 959 magisterchessmutt 25-Dec-17 16:52
Re: David Kenworthy Cracking the Megalithic Code 669 magisterchessmutt 25-Dec-17 17:20
Re: David Kenworthy Cracking the Megalithic Code 700 DavidK 27-Dec-17 16:42
Re: David Kenworthy Cracking the Megalithic Code 678 magisterchessmutt 28-Dec-17 02:37
Re: David Kenworthy Cracking the Megalithic Code 706 magisterchessmutt 28-Dec-17 05:35
Re: David Kenworthy Cracking the Megalithic Code 729 DavidK 28-Dec-17 14:21
Re: David Kenworthy Cracking the Megalithic Code 607 DavidK 19-Jan-18 13:05
Re: David Kenworthy Cracking the Megalithic Code 638 molder 19-Jan-18 22:57
Re: David Kenworthy Cracking the Megalithic Code 579 DavidK 21-Jan-18 22:27
Re: David Kenworthy Cracking the Megalithic Code 652 molder 22-Jan-18 00:13
Re: David Kenworthy Cracking the Megalithic Code 575 DavidK 22-Jan-18 09:55
Re: David Kenworthy Cracking the Megalithic Code 499 cloister 22-Jan-18 11:01
Re: David Kenworthy Cracking the Megalithic Code 501 DavidK 22-Jan-18 12:30
Re: David Kenworthy Cracking the Megalithic Code 484 cloister 22-Jan-18 12:40
Re: David Kenworthy Cracking the Megalithic Code 522 DavidK 22-Jan-18 13:15
Stonehenge, Brodgar Ring and Thom 644 DavidK 22-Jan-18 13:32
Re: David Kenworthy Cracking the Megalithic Code 521 cloister 22-Jan-18 16:34
Re: David Kenworthy Cracking the Megalithic Code 509 DavidK 17-Mar-18 17:24
Re: David Kenworthy Cracking the Megalithic Code 575 DavidK 17-Mar-18 17:30
Re: David Kenworthy Cracking the Megalithic Code 785 DavidK 03-Jan-18 23:58
Re: David Kenworthy Cracking the Megalithic Code 636 DavidK 05-Jan-18 18:27
Re: David Kenworthy Cracking the Megalithic Code 669 DavidK 05-Jan-18 20:55
Re: Michell's Canon of Ancient Measure 550 DavidK 05-Jan-18 23:48
Re: Michell's Canon of Ancient Measure 540 molder 06-Jan-18 01:18
Re: Michell's Canon of Ancient Measure 621 DavidK 06-Jan-18 09:51
Re: Michell's Canon of Ancient Measure 805 magisterchessmutt 06-Jan-18 11:56
Re: Michell's Canon of Ancient Measure 619 DavidK 07-Jan-18 11:14
Re: Michell's Canon of Ancient Measure 658 DavidK 10-Jan-18 14:23
Eclipse Measurements on Salisbury Plain. 636 DavidK 08-Jan-18 22:07
Re: David Kenworthy Cracking the Megalithic Code 525 DavidK 19-Jan-18 12:47
Extracts from another website 556 DavidK 19-Jan-18 13:31
Re: Extracts from another website 516 DavidK 22-Jan-18 20:31
Re: Duplication of the cube 526 molder 22-Jan-18 23:24
Re: Extracts from another website 575 Dr. Troglodyte 22-Jan-18 23:25
Re: Extracts from another website 639 DavidK 23-Jan-18 10:41
Re: Extracts from another website 519 molder 23-Jan-18 12:10
Re: Extracts from another website 574 cloister 23-Jan-18 14:05
Re: Extracts from another website 580 molder 23-Jan-18 21:52
Re: Extracts from another website 552 DavidK 24-Jan-18 09:59
Re: Extracts from another website 481 molder 24-Jan-18 11:39
Re: Extracts from another website 535 rodz111 24-Jan-18 18:59
Re: Extracts from another website 504 DavidK 24-Jan-18 21:12
Re: David Kenworthy Cracking the Megalithic Code 549 DavidK 24-Jan-18 12:03
Re: David Kenworthy Cracking the Megalithic Code 505 DavidK 25-Jan-18 07:06
Re: David Kenworthy Cracking the Megalithic Code 488 molder 25-Jan-18 12:19
Re: David Kenworthy Cracking the Megalithic Code 501 molder 25-Jan-18 12:36
Re: David Kenworthy Cracking the Megalithic Code 543 DavidK 25-Jan-18 13:50
Re: David Kenworthy Cracking the Megalithic Code 482 DavidK 25-Jan-18 13:43
Re: David Kenworthy Cracking the Megalithic Code 545 DavidK 25-Jan-18 09:41
Re: David Kenworthy Cracking the Megalithic Code 493 DavidK 27-Jan-18 12:17
Re: David Kenworthy Cracking the Megalithic Code 648 rodz111 28-Jan-18 09:54
Re: David Kenworthy Cracking the Megalithic Code 496 DavidK 28-Jan-18 20:49
Re: The Saros 607 molder 28-Jan-18 23:13
Re: The Saros 550 DavidK 29-Jan-18 12:25
Re: David Kenworthy Cracking the Megalithic Code 548 rodz111 29-Jan-18 16:38
Re: David Kenworthy Cracking the Megalithic Code 530 DavidK 29-Jan-18 17:07
Re: David Kenworthy Cracking the Megalithic Code 537 rodz111 29-Jan-18 18:04
Re: David Kenworthy Cracking the Megalithic Code 509 molder 30-Jan-18 06:05
Re: David Kenworthy Cracking the Megalithic Code 528 rodz111 31-Jan-18 21:24
Re: David Kenworthy Cracking the Megalithic Code 505 molder 29-Jan-18 22:32
Re: David Kenworthy Cracking the Megalithic Code 513 DavidK 30-Jan-18 10:06
One last shot 536 DavidK 30-Jan-18 13:40
Re: David Kenworthy Cracking the Megalithic Code 650 rodz111 30-Jan-18 18:11
Whay lies between SH and the GP? 508 DavidK 31-Jan-18 07:00
The Megalithic and Saxon Yard Relationship 550 DavidK 31-Jan-18 10:02
Re: The Megalithic and Saxon Yard Relationship 449 DavidK 31-Jan-18 21:12
Re: The Megalithic and Saxon Yard Relationship 471 cloister 31-Jan-18 21:28
Re: The Megalithic and Saxon Yard Relationship 497 DavidK 01-Feb-18 08:49
Re: The Megalithic and Saxon Yard Relationship 530 cloister 01-Feb-18 09:39
Re: The Megalithic and Saxon Yard Relationship 631 DavidK 01-Feb-18 10:05
Re: The Megalithic and Saxon Yard Relationship 492 cloister 01-Feb-18 12:01
Re: The Megalithic and Saxon Yard Relationship 492 DavidK 01-Feb-18 14:44
Re: The Megalithic and Saxon Yard Relationship 518 cloister 01-Feb-18 20:23
Re: David Kenworthy Cracking the Megalithic Code 577 DavidK 29-Jan-18 19:39
The New SH GP calculator 520 DavidK 02-Feb-18 10:04
The Basic Model 513 DavidK 02-Feb-18 10:40
For Horatech 530 DavidK 02-Feb-18 10:50
Re: The New SH GP calculator 582 molder 03-Feb-18 04:16
Re: The New SH GP calculator 564 DavidK 03-Feb-18 23:28
putting 56 back into the GP using the sekhed 515 DavidK 04-Feb-18 10:37
Re: putting 90720 back into the GP 524 DavidK 04-Feb-18 10:44
Re: putting 90720 back into the GP 630 rodz111 04-Feb-18 13:30
Re: putting 90720 back into the GP 536 DavidK 06-Feb-18 15:41
Re: putting 90720 back into the GP 707 rodz111 06-Feb-18 18:13
Re: putting 90720 back into the GP 672 DavidK 06-Feb-18 22:24
Re: David Kenworthy Cracking the Megalithic Code 494 DavidK 06-Feb-18 15:56
evidence for use of base 100 at SH and GP 537 DavidK 07-Feb-18 10:49
why 2.7207 feet per Hugh Franklin? 512 DavidK 07-Feb-18 12:37
Re: why 2.7207 feet per Hugh Franklin? 636 DavidK 07-Feb-18 15:29
Standard cubit 19.8 inches 684 DavidK 08-Mar-18 09:16
The Stonehenge Cubit 20.4 inches 666 DavidK 22-Mar-18 10:03
Re: The Stonehenge Cubit 20.4 inches 626 Manu 31-Mar-18 17:21
Re: The Stonehenge Cubit 20.4 inches 616 DavidK 06-Apr-18 22:26
the Giza Template 608 DavidK 30-Mar-18 05:12
Re: the Giza Template 563 DavidK 14-Oct-18 21:57
Re: David Kenworthy Cracking the Megalithic Code 551 DavidK 12-Oct-18 21:21
Re: David Kenworthy Cracking the Megalithic Code 373 DavidK 16-Mar-19 23:50
Re: David Kenworthy Cracking the Megalithic Code 343 rodz111 17-Mar-19 14:54
Giza Great Pyramid design Proposal 392 DavidK 17-Mar-19 10:38
Re: Giza Great Pyramid design Proposal the royal cubit 20.736 imperial inches 355 DavidK 26-Mar-19 15:07
Re: Giza Great Pyramid design Proposal the royal cubit 20.625 imperial inches 409 DavidK 04-Apr-19 13:17
Finding the ancient metre in the GP base 39.375 inches 333 DavidK 08-Apr-19 14:22
Re: Giza Great Pyramid design Proposal the royal cubit 20.736 imperial inches 156 DavidK 22-Dec-19 18:09
Re: Giza Great Pyramid design Proposal the royal cubit 20.736 imperial inches 137 molder 23-Dec-19 10:47
Re: Giza Great Pyramid design Proposal the royal cubit 20.736 imperial inches 128 DavidK 23-Dec-19 11:42
Re: Giza Great Pyramid design Proposal the royal cubit 20.736 imperial inches 184 magisterchessmutt 23-Dec-19 12:48
Re: David Kenworthy Cracking the Megalithic Code 308 DavidK 25-Apr-19 21:52
Re: David Kenworthy Cracking the Megalithic Code 319 DavidK 21-May-19 23:59
Re: David Kenworthy Cracking the Megalithic Code 195 magisterchessmutt 22-Dec-19 22:24
Re: David Kenworthy Cracking the Megalithic Code 183 molder 23-Dec-19 10:38
Re: David Kenworthy Cracking the Megalithic Code 173 magisterchessmutt 23-Dec-19 12:25
Re: David Kenworthy Cracking the Megalithic Code 132 DavidK 13-Jan-20 15:51
Re: David Kenworthy Cracking the Megalithic Code 176 DavidK 15-Jan-20 22:12

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