M22#3^.5 lix number codes

Imagine building a simple rectangular workshop with a flat ceiling using as dimensions
the square roots of (2¹³ x .009) x 4, 21, 9, 25, 16, 20 and 5.

Imagine next to your workshop constructing a simple rectangular shed with a gabled ceiling using
as dimensions the square roots of 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 and 15 each multiplied by (2⁸ x .03).

Imagine fitting one inside the other.

If you quickly scan this presentation, jumping over numbers and formulas in a 20th Century rush to get
to the ergo sum, the punch line, you will miss the point and it's far too good a point to miss. Numbers
and Formulas generating these dimensions are the message but don't take my word nor anyone elses.
Confirm them yourself. Read each step and check the simple arithmetic as you go. It won't take long
and by the end of this brief, if nothing else, you will have a deeper appreciation
for the designers and builders of the Great Pyramid at Gizeh.


If you've arrived here from a direct link, unfamiliar with lix measure and its application to the "Hi Phive",
King's Chamber, you don't have to go here first but it will put the following information into context.

(n^.5 = square root n)

5^.5 x .5 = 1.1180339887 = 1.25^.5
5^.5 x .5 + .5 = 1.6180339887 = phi

¹Simpson code from "Authorship and Message of the Great Pyramid" Julian T.Grey 1953



The dates at the beginning of each of the following sections mark major steps
along my path leading to the Numerical Source of Great Pyramid chamber dimensions.

02 20 '08


No Queen was ever interred in the "Queen's" Chamber. As with the Hi Phive, "King's", chamber
the name  should reflect the purpose behind the design and is hereafter referred to
as the "Point Phive" Chamber.

From Tim Hunklers list of Pyramid measurements:

Simpson deduced a number sequence in the Chamber using a Unit Dimension, a module,
of 92.173077+ "primitive" inches, half the side wall height. He discovered:

Note: floor diagonal and side wall diagonal are switched. Corrected below.

Squaring the sequence factors produces the series: 4, 5, 6, 7, 9, 10, 11, and 15.

   

I converted Simpson's unit dimension to feet: 92.173077 / 12 = 7.68108975 and multiplied it by 5^.5
to determine his chamber width in primitive feet = 17.175438+.

Knowing that the width of both chambers are equal, i divided the true width, 17.17300207 lix by 5^.5
and found the unit dimension, half the side wall height, is exactly 7.68 lix.

17.17300207 / 5^.5 = 7.68000000125

Point Phive chamber width = 7.68 x 5^.5 = 17.17300207 lix = [Y],    [Y²] = 294.912

7.68 = (2⁸ x .03)
7.68² x 10 = 589.824 = side wall diagonal squared = [Y²] x 2

Applying 7.68 lix, the true module, to Simpson's code reveals the original design specifications of
the Point Phive chamber. Following the pattern of the Hi Phive number code i squared the lix dimensions
and divided the results by [G], 73.728, revealing the side wall proportion code.

The squared dimensions are multiplied by 5 to illuminate the [Y²] and [G] code
and their source in Hi Phive .

[G] / 7.68 = 9.6
9.6³ = 884.736 = cubic diagonal squared

Point Phive Chamber: lix dimensions

(n[G]/5)^.5

eg) floor diagonal = (44[G]/5)^.5 =  (648.8064)^.5 = 25.47167839 lix

All the dimensions of the Point Phive chamber are derived from combinations
of the squares of the width, length and ceiling diagonal of Hi Phive: [Y²], [U²] and [T²]

Hi Phive dimension = (n[G])^.5

eg) length = 34.34600414 lix = [U]

[U²] = 1179.648 = 16[G]

(16[G])^.5 = 34.34600414

Point Phive dimensions = (n[G]/5)^.5

eg) side wall height = (16[G]/5)^.5 = 15.36 lix

15.36² x 5 = [U²]

n x [Y²] column: 4, 5, 6, 7, 8, 9, 10, 11 and 15 x 294.912 lix

eg) side wall height = (4[Y²]/5)^.5 = 15.36 lix


03 13 '08

Simpson's "Queen's" chamber, square root series: 4, 5, 6, 7, 9, 10, 11, 15, + = 67, is missing at least

one number: 8, while 15 is out of position. Beginning at the top of the 4n[G] column each dimension

increases by 4[G] with a gap of 8[G] between the height apex, 28[G] and the end wall diagonal, 36[G].

Extrapolating backwards: (32[G]/5)^.5 = 21.72232032 lix = (7.68 x 8^.5)

The location of this line is unknown at the moment however it is likely in the gabled ceiling
where the stones overhang the walls. The number is connected to the Hi Phive chamber length:

21.72232032 x 2.5^.5 = 34.34600414 = [U]

The sequence now resolves itself, unfolding as pairs, each total 15 around the cubic diagonal:

4, 5, 6, 7, 15, 8, 9, 10, 11

4 + 11,   5 + 10,   6 + 9,   7 + 8   = 60 + 15 = 75

In the Hi Phive chamber the lix number code also unfolds as pairs.

Each total 25 around the cubic diagonal:

4, 21, 9, 25, 16, 20, 5 + = 100

03 14 '08

Thirteen

Simpson's code is missing another prime dimension, the diagonal of the largest rectangle in

the chamber. At half the width, down the centre, from the ceiling apex to the opposite floor:

Triangle: floor length = 6^.5 x 7.68, apex height = 7^.5 x 7.68, diagonal = 13^.5 x 7.68

Adding 8, 12, and 13 to the sequence raises the sum of the Point Phive code to 100,

the same as Hi Phive, 33 more than Simpson's original 67.

Hi Phive chamber volume, 11324.6208 cubic lix = 19.2³ x 1.6
minus Hi Phive perimeter squared: 10616.832 = 707.7888 = 19.2³/ 10

The sum of the 9 dimensions in the (N²x 5) column = 22118.4 = 300[G]
Adding 12 and 13 (above): 7372.8 + 22118.4 = 29491.2 = 100[Y²]

[Y²] + [U²] + [T²] = 2949.12

seven / eleven

The sum of the 7 "Hi Phive" squared dimensions = 7372.8 = [G] x 100

The sum of the 11 "Point Phive" squared dimensions, N² column, = 5898.24 = 7.68² x 100

7372.8 / 5898.24 = 1.25

04 03 '08

Point Phive Triangles

Wall and floor triangles produce more power of .5 factors
when the chamber floor is divided in quarters:

and the end wall is folded in half:

04 05 '08

The power of point phive, 7.68 lix and Hi Phive chamber dimensions

The Numerical Source of Great Pyramid Chamber Dimensions

3 Unit Dimensions for both Chambers:

 [G] = ( 2¹³ x .009) = 73.728 lix,     [Y] = (2¹⁵ x .009)^.5 = 17.17300207 lix,    (2⁸ x .03) = 7.68 lix

samples from three Point Phive chamber lix unit codes:

and another one:

side wall proportion code

04 20 '08
The end walls of both chambers are overlaid and six main diagonal lines applied,
three on Point Phive, two on Hi Phive and at the top, 1.05^.5, joins one chamber with the other:

triangle: .05^.5x 1 x 1.05^.5

3.84 x 17.17300207 x 17.59709067

[Y] x .8^.5 = 15.36,      [Y] x 1.25^.5 = 19.2,      [Y] x 1.8^.5 = 23.04

3.84 x 4 = 15.36,      3.84 x 5 = 19.2,      3.84 x 6 = 23.04

multiples of 1.92:

1.92,   3.84,    5.76,   7.68,   9.6,   11.52,   13.44,   15.36,    17.28,   19.2,   21.12,   23.04,   24.96  

2⁵ x .03 = .96,     2⁶ x .03 = 1.92,     2⁷ x .03 = 3.84

2⁸ x .03 = 7.68,     2⁹ x .03 = 15.36,     2⁸ x .3² = 23.04


09 14 '08

Relationships between the Point Phive and Hi Phive chamber dimensions

Point Phive side wall diagonal = [Y] x 2^.5
Point Phive cubic diagonal = [Y] x 3^.5
Hi Phive ceiling diagonal = [Y] x 5^.5

Point Phive wall height = [Y] / 1.25^.5
Hi Phive wall height, [S] = [Y] x 1.25^.5

[Y] x 1.8^.5 = 23.04 = end wall diagonal
[S] x 1.8^.5 = 25.75950310 = [W] = west wall diagonal

[W] / 23.04 = 1.25^.5 = phi - .5

Point Phive side wall height, mid cubic diagonal = [W]
triangle: 15.36² + 20.67903285² = 663.552 = [W²]

11.25^.5 x 7.68 = 25.75950310 = [Y] x 1.5 = [W]

[W] x Hi Phive length, [U] = cubic diagonal squared
25.75950310 x 34.34600414 = 884.736 = 9.6³

38.4 x 23.04 = 884.736

ceiling area [Y] x [U] = side wall diagonal squared
17.17300207 x 34.34600414 = 589.824 = 7.68² x 10

side wall height, 15.36 + 23.04 = 38.4 = [T], ceiling diagonal

15.36 x 23.04 = 235.9296 = length squared

15.36 x 19.2 = 294.912 = width squared

19.2 x .8^.5 = 17.17300207, x .8^.5 = 15.36

Hi Phive volume = 11324.6208 = [G] x 153.6

cubic diagonal squared, [V²] / 15.36 = 1843.2 / 15.36 = 120

In both chambers, the sum of the squared dimensions divided by the cubic diagonal squared:
Point Phive, (9 dimensions), 4423.68/ 884.736 = 5
Hi Phive, (7 dimensions), 7372.8 / 1843.2 = 4

4423.68 / 1843.2 = 2.4
884.736 / 737.28 = 1.2

Point Phive, (N² x 5) column:

(10), 2949.12 + (11) 3244.032 + (15), 4423.68 = 103.0380124²

Hi Phive chamber: [W] + [U] + [V] = 103.0380124 = [M] = horizontal perimeter = [Y] x 6


02 05 '09

a simple calculator exercise for acquiring various key lix chamber dimensions:
1.25^.5 = 1.1180339887 = phi - .5

(2³ x 3)

24 / 1.25 = 19.2 = [S] = Hi Phive chamber: height
24 / 1.1180339887³ = 17.17300207 = [Y] = Hi Phive and Point Phive: width

(2² x 3²)

36 / 1.1180339887 ³ = 25.75950310 = [W] = Hi Phive: end diagonal
36 / 1.1180339887 ⁴ = 23.04 = (36[G]/5)^.5 = Point Phive chamber: end diagonal
36 / 1.1180339887 ⁵= 20.60760248 = [A] = magnum module
36 / 1.1180339887 ⁶ = 18.432 = [V²] / 100
36 / 1.1180339887 ⁸ = 14.7456 = [T²] / 100
36 / 1.1180339887 ¹⁰ = 11.79648 = [U²] / 100

(2⁴ x 3)

48 / 1.1180339887 = 42.93250517 = [V] =  Hi Phive: cubic diagonal
48 / 1.1180339887² = 38.4 = [T] = ceiling diagonal
48 / 1.1180339887³ = 34.34600414 = [U] = length

(3 x 5)²

225 / 1.1180339887⁷ = 103.0380124 = Hi Phive perimeter = [M]
225 / 1.1180339887⁸ = 92.16 = 9.6²
225 / 1.1180339887¹⁰ = 73.728 = [G]
225 / 1.1180339887¹² = 58.9824 = 7.68²

something's afoot......

The rediscoveries of the lix unit, the scale lixcaliber, the dimensions of Hi Phive, [G] and Point Phive
are the result of nearly two lifetimes of attention. Much is owed to the Master Surveyors who
marked the lines before our time and even more to Pythagoras and his teachers.

A paper structure of equal volume could be built beside the Great Pyramid from all the speculative
works to reference its grande design. Bairn of pi and phi, "lix" dimensions are eternal,
here long before the first Myths recorded, here well after the last ones gone to dust.

In the face of resplendent codes and formulas extensive reflection will achieve
far greater insight than intensive conjecture.

Embedded in the Stone Hearth of Phive resides the planetary scale "lixcaliber",
not as Arthurian weapon, tool for Passion, War and Division
but as Arthurian ideal, instrument of Compassion, Reason and Understanding.

In another age people were inspired enough to strive together for a generation to dress and seal
their knowledge of "Earth Measure" inside a crystalline mountain 481.9660111 lix high.
They clearly intended rediscovery, whether by this era remains to be seen.

04 13 '08
slg

"Brain Elevator" 2009

"Queen's Chamber dimensions" google images

lix geometry start

Hi Phive Chamber

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stephen langton goulet

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updated: February 2010