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The Great Pyramid
...

Part 2
The Square Root Two Cubits and associated dynamics.

Be sure to review my previous post on the Square Root Two cubits,
for preceding processes and definitions.
Important introductory info there,
on the pure square root cubits:
20.61923374
20.62394778~
and how the relate to:
Ancient Square Root Two Whip

In this post I will try to blend old material in to offer some color,
to the sometimes tedious nature of defining cubits.
A couple of my oldest designs are resurrected for this post.

Image 1: is a direct follow up from the previous post on the Square Root Two cubits,
and Ancient Square Root Two.

Image 1: 
Pyramid Height Dynamics reveal ancient Egyptian calendar count dynamics,
for the Mars and Jupiter synod.

The two pure square root two cubits, 
are defined together,
by equaling -- square root 8 -- the "electron spin" tetrahedral angle tangent.

Cubit 20.61923374~ extrapolates from the 243 day Venus Rotational Day value: 243

Cubit 20.62394778~ extrapolates from the Khafre pyramid sacred seked: 5.25

Ancient Calendar Count,
Mars and Jupiter synod: 816.48 days

81648 =  100  Mars -- Jupiter synods {calendar count} =  226.8 x 360

81648 =  108 x 756 Khufu Pyramid base length = 336 x 243 Venus Rotational Day 

21st century data:
816.435 days

The two Ancient Square Root Two fractions,
are displayed,
with their respective cubit generated -- Pyramid Heights.

The modern pure square root two cubit 20.61923374~,
is also shown with it's respective cubit generated height.

All three pyramid heights are aligned,
with ancient astronomical observational and sacred geometry intent, 
to the ancient calendar count Mars - Jupiter synod -- 100 synods = 81648 days.



edit:
image below has been updated with fresher content,
specifically the cubits setting the pyramid heights are defined with relevant equations.



[Image: Oy8cDlt.jpg]





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2008-2009 image with updates.
Image 2:
The -- 2 x 2 x 2  Pyramid -- created from a 2D tetrahedral grid.
{2 units high, with a base of 2 x 2 units}

The Pentad Octagon replicating tile,
was my creation using the Tetrahedral Pentad,
representing tetrahedral geometry and the positions of the Cydonia Mounds on Mars.
{Dr. Horace Crater UTSI} -- Mounds of Cydonia 

The Tetrahedral Pentad: 
is the five sided figure in the bottom left quadrant of the Octagon, 
which circumscribes the interior five pointed star.
Each of the five points is the position of a mound in Cydonia Mars,
located just a few kilometers from The Face. 
Regardless of the mounds on Mars,
it is a tetrahedral Pentad defined by square root 2 geometry.

All the dotted line rectangles seen in the Octagon,
are -- square root two rectangles --
that will replicate the octagon to infinity -- as a replicating tile.

The Octagon is now set on it's side to present the inner parallelogram.
The interior parallelogram,
is now at the desired position for the transfer,
of the 2D octagonal grid into 3D geometry. 

The parallelogram is duplicated.
The duplicate parallelogram is now cross sected into the original one,
at 90 degrees,
through the vertical axis.

The square base of the pyramid is formed,
and shown to the right of the above duplication and cross section process.
That square base cross sects through the horizontal axis,
and the end points are connected as shown in the diagram of the base.

So actually TWO pyramids are formed -- base to base -- by the cross section process.

At the bottom of the image,
are the cross secting isosceles triangles,
formed by the:
Side Face Angles and the Corner Angles of the -- 2 x 2 x 2 pyramid. 

The Corner Angles are pure tetrahedral,
and the 70.52877937~ degree Full Apex Angle is the "electron spin angle"  {Dr. Horace Crater UTSI}

And the Side Face Angles,
produce the Khafre Pyramid Side Face Angle -- as the Full Apex Angle of the pyramid.
The progenitor of inverse phi and phi angles are found with this isosceles triangle.

Angle aa = arctangent 2,
which subdivides,
into two equal angles of -- arctan {1 / phi}.

The simple 2 x 2 x 2 pyramid has a beautiful complexity of important angles to be found within.


[Image: q20vPq3.jpg]


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2008-2009 image, hand drawn with later added color computer lines
Image 3:
This is the beginning of the replicating tile series,
with the Pentad Octagon.
The individual tiles attach and replicate to infinity, 
creating an infinite variety of polygonal forms in tetrahedral geometry.

In this image,
FOUR Octagons are assembled,
and the Pentad Hexagon Whip
 is revealed wiithin the center of the tetrahedral infrastructure.


[Image: 4UbH2dZ.jpg]



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2008-2009 image, hand drawn 
Image 4:
A cube is created with each flat face -- 2 x 2  units Whip

The 2 x 2 x 2 Pyramid is then attached to each Face of the Cube <---
The 6 pointed star is thus formed.
The electron spin angles,
and the Khafre Pyramid side face angles,
are all present as the Full Apex Angles of the attcahed pyramids. 

Pay no attention to the "acoustic Lol resonance" in the title.
That was 2008 or 2009.

[Image: 1ppzlrO.jpg]



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Grand Unification of Ancient and Modern Geometry and Mathematics

The Square Root Two Cubits:
The end game of this post is the isosceles triangle,
at the very bottom right of Image Three <---
This contains dramatic Convergence Dynamics,
in ancient planetary timeline pyramid pi cubit system code.

Image One:
The pyramid is built upon the height using the standard 280 cubits,
times:
the square root two cubit 20.61923374~ inches.

The height is then expressed in several equations that utilize square root two.
Note the equation on the image upper right:
81648 / by square root 288 <--- 
The negative tangent of ---> square root 288,
is the Full Apex Angle tangent,
of the Khafre Pyramid Corner Angles crossectional isosceles triangle.

In the pyramid in the image,
I have highlighted the Corner Angles Whip with thin blue lines.
This is because that is where this exercise goes to the end game.

A three slope pyramid,
with a very slightly rectangular base,
is presented with these three,
slope angle tangents:
4 / pi
4 / aPi
4 / {sqrt 800 / 9} = sqrt 1.62

Two parallel base lengths are 756 feet each.
These 756 foot lengths create one specific slope angle with the fixed height.
The other two parallel base lengths, have an offset center point along the base line,
to properly display the -- half base lengths, which create the other two slopes.
The vertical pyramid height line simply shifts to accommodate the two half base lengths.
The vertical pyramid height line remains totally vertical in a three slope pyramid.  

Applying the slope tangents to the square root two generated pyramid height,
the three slope positions are shown as A, B, and C.

The base lengths in inches are shown as equations with the respective cubits,
and the "ancient pi values" associated with the cubit equation.

At the bottom of the image you see the half base length as: 
378 feet = 4536 inches
                 4536 inches = 70 x aPi x cubit 20.618 18 18~

aPi = 22 / 7  ---- 1134 / 55 = 20.618 18 18~ 

[Image: 0SSFjXu.jpg]




Footnotes:
Quote:Lots of fractions, and square roots, and Pi values, etc.,  
have infinite a random or replicating series in decimal placements.

When applying cubits and pi values in calculations you have to use the fractions <---
Cubit 20.618 18 18 18~ {replicating decimal to infinity - 18 18 18},
equals:
1134 / 55 <---
If you just use -- 20.618 18 18 clicked in your hand calculator,
there may be a slight difference in the tenth decimal of your results.
When you click the fraction:
1134 / 55
into your hand calculator,
it automatically rounds off at the tenth decimal placement: 20.618 18 18 2~

Pi cubit 20.62648062~ for instance,
is actually:
{18 x 360} / Pi

Square Root Two cubit 20.61923374~ = 14.58 inches x square root two,
where 14.58 inches,
is the Egyptian remen foot in inches.

So when you see the pyramid height,
set by:
Square Root Two cubit 20.61923374~ inches -- x 280 cubit,
equals:
5773.385447~ inches  =  {8164.8 / sqrt 2}

Point being: 
if you use just the ten decimal placements 5773.385447~ inches,
in your calculations,
you may get a slight differential in the tenth decimal placement of results.
But if you use the equation for the height:
{8164.8 / sqrt 2}
then your calculations will adjust perfectly.
All the math is EXACT <---

  


-------------------------------------------------------------------------------


Image Two:

This presents the square base pyramid,
with all  four base lengths set at 756 feet.
440  x  cubit 20.618 18 18~  =  9072 inches  = 756 feet.

The square root two cubit generated height,
280  x  20.61923374~  inches,
is the same height as seen in Image One. 

I have outlined the Pyramid Corner Angles in secondary thin blue lines.
One thin blue line,
is shown as well along the base diagonal. <---
This outlines the:
cross sectional isosceles triangle <---
with designated points:
x, y, and z
Seen as well in the upper right,
with:
Full Apex Angle C <---

Obviously a second identical isosceles triangle cross sects the prior one shown,
through the opposite Corner Angles,
but this graphic design isolates only the one seen in the image.


[Image: 8Hm6vmZ.jpg]



-----


Image Three:

Next,
a series of these cross sectional isosceles triangles,
from associated cubit system generated pyramid geometries are compared,
and also defined further in ancient cubit system code.

Depending on which cubit generated geometry one uses to create a pyramid,
with the array of "ancient Pi values" and modern Pi,
with the slope tangent formula:

4 / by  Pi value = slope tangent.

The cubit generated geometries always produces Corner Angles,
with their own set of criteria.

I will display three possibilities with relative mathematics.

Pyramid with slope tangent {4 / Pi},
has a Corner Angle tangent:
-- 4 /  by  {Pi x sqrt 2} -- 
equals:
0.900316316~

Pyramid with slope tangent {4 / 3.1416},  
has a Corner Angle tangent:
-- 4 /  by  {3.1416 x sqrt 2} -- 
equals:
0.900314211~

Pyramid with slope tangent {4 / aPi},  ... aPi = 22 / 7,
has a Corner Angle tangent:
-- 4 /  by  {aPi x sqrt 2} -- 
equals:
0.899954085~ 

NOTE: how all the above Corner Angle slope tangent decimals <---
hover suspiciously and very closely to:
0.9 = 9 / 10
0.900316316~ --- Pi geometry
0.900314211~ --- 3.1416 geoemtry
0.899954085~ --- aPi --- Khufu Pyramid corner angle tangent in decimal.

It is the  Square Root 2 cubit  20.61923374~ inches <---
that creates the perfect,
cross sectional isosceles triangle of that pyramid geometry,
to ISOLATE,
the Corner Angle slope tangent : 0.9 = 9 / 10
 
Isosceles triangle on left side of the central section:
Height = 280  x  cubit 20.61923374~  inches.
Half Base Lengths:
378 feet = 4536 inches = 220 x cubit 20.618 18 18~  {1134 / 55}.

The pyramid corner angle -- angle B -- is defined two ways:
The angle tangent = 0.9 = {9 / 10}
and,
the angle tangent is defined in cubit system process:
cubit 20.61923374~
divided by:
{16.2 x sqrt 2}
equals:
0.9

ONLY the Square Root Two Cubit process,
will produce the PERFECT:
Full Apex Angle Tangent C Whip
with:
the Ancient Planetary Calendar Count Synods of Saturn and Jupiter Whip
as the angle tangent:
Ten Saturn synods with Earth, 
3780,
divided by:
399 day Jupiter synod with Earth.

On the right hand side of the central section:
I have taken the NASA data,
for the: 
Ten Saturn synods: 3780.9  days
One Jupiter synod: 398.88  days
and,
installed them as the fractional slope tangent in the Full Apex Angle.
The geometry is then back tracked Kickbut
to the:
Corner Angles,
which have the tangent defined as the:
New Cubit  20.62039981  inches <---> generated by the NASA data <---

The base corner angles seen in both isosceles triangles,
are almost exactly:  1 / 1000 degree differential.


[Image: L3QFZ58.jpg]




There will be one more post on the Square Root Two cubits,
and then on to the:
3.1416 Pi cubit system dynamics.

Guitar

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Grand Unification of Ancient and Modern Geometry and Mathematics 
The Square Root Two Cubits
20.61923374~
20.62394778~

The Mars Sidereal -- 687 Day Sidereal Progression -- In Ancient Pyramid Cubit Code
The Mars sidereal =     687 days calendar count -- 686.98 NASA

The Process:
6  x  243 Venus rotational day -- times --  square root 2  -- {tetrahedral angle tangent},
equals:
100  cubits  20.61923374~ inches.
Process:
Venus 243 -- times -- square root 8 -- {tetrahedral angle tangent},
equals:
687.3077913~  --  Mars sidereal progression position in square root two cubits.
687.3077913~
equals:
square root two cubit  20.61923374~  x  33.33333333333~

Each Pyramid Cubit - times -  33.33333333333~  =  Mars sidereal progression position.

cubit  20.625               -- times --  33.33333333333~  =  687.5
cubit 20.61923374~      - times --  33.3333333333~    =  687.3077913~               
cubit  20.618 18 18 ~   -- times --  33.33333333333~  =  687.27 27 27~       
cubit 20.61675             -- times --  33.33333333333~  =  687.225                    
cubit  20.61                -- times  --  33.33333333333~  =  687
cubit  20.606 06 06~    - times  --  33.33333333333~  =  686.86 86 86~ 

Note: 
Vedic and Saxon foot 13.2 inches   <---  {1.1  x 12 inches}
13.2 -- times:
any Mars Progression Position Value,
equals:
The corresponding Khufu Pyramid base length:

13.2 -- times -- 687.5               =  9075 inches                 =  440  x  cubit 20.625
13.2 -- times -- 687.3077913~  =  9072.462845 inches      =  440  x  cubit 20.61923374~  Whip            

13.2 -- times -- 687.27 27 27~  =  9072 inches                 =  440  x  cubit 20.618 18 18~   Royal Cubit
13.2 -- times -- 687.225          =   9071.37 inches             =  440  x  cubit 20.61675          
13.2 -- times -- 687                      9068.4  inches              =  440  x  cubit 20.61 
13.2 -- times -- 686.86 86 86~ =   9066.666666~ inches    =  440 x  cubit 20.60 60 60 60~   


And
Mars Progression Position:
687.27 27 27~
divided by -- 
540  Whip  ---  {number of degrees in the pentagon}
equals:
1.27 27 27 27~  -- the Khufu Pyramid slope tangent  =  {4 / aPi}  =  {14 / 11}.


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-----------------------------------------------------------------------------------------------------------

 IMAGE  ONE:

The Khufu Pyramid slope angle tangent:
Square Root 1.62 Whip
was generated by the square root two cubits {seen in the prior posts}.

I always test specific pyramid tangents,
in 180 degree traingle combinations to see the further results.

Triangle at the top of the image,
shows angle tangent C -- as --  sqrt. 1.62 <---
This is then combined with the:
"electron spin angle"
angle B,
with tangent -- sqrt. 8 <---

Note how angle A,
produces ancient planetary calnedar count planetary cubit system code.
The resultant tangent:
5  -- times --  the Mercury synod to Earth of 116 days,
divided by:
260 Tzolkin -- times -- sqrt. 2 <---

That fractional tangent can reduce to : 
29 -- divided by -- {13 x sqrt. 2}

------------------------------------

The 180 degree triangle in the middle of the image,
combines angle C -- arctan sqrt. 1.62 <---
with:
angle A,
showing the calendar counts of the Earth Year and Venus synod.
Arctangent {584 Venus synod  x  sqrt. 2} -- divided by -- 365 Earth year.

This angle with the Venus synod is important,
because it showed up in the Mars Hexad mounds when worked into 3D,
creating the Khafre Pyramid octahedral {see earlier posts a few months ago}.

The resultant angle B -- reveals the number 235 with sqrt. 2 <--- in the angle tangent equation.
This is significant because the Metonic Cycles,
operate exactly 235 Lunar Months
for every 19 Earth Tropical Years <----

---------------------------------------------

The 180 degree triangle at the bottom of image takes the Khafre Cake!
Angle C -- arctan sqrt. 1.62,
is combined with:
The Khafre Pyramid Full Apex Angle -- from the Corner Angles cross section. 
That is seen as angle B.

The resulatnt angle A <---
has the tangent:
111  --  divided by --  {113  x  sqrt. 2}.
It is no coincidence,
that the number 113 shows up in the fraction.
It evolves from the ancient pi value : 
355 / 113 = 3.14159292


[Image: 2sLekDM.jpg]


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IMAGE  TWO:
this image expands on the previous post.
The mathematics have been presented to bring in -- square root 5 geometry math dynamics.

Two isosceles triangles are compared.
The Khufu Pyramid Corner Angles cross section -- on the left.
And,
an isosceles triangle with --> tangent 72 degrees SQUARED --> as the Full Apex Angle tangent.

tangent 72 degrees =  tangent 54 degrees  -- times -- sqrt. 5 <---- These are pentagonal angles.

tangent 72 degrees squared  =  9.472135955 
tangent 72 degrees squared  =  {4  x  phi} -- plus -- 3 <---

The resultant corner angle produces a Khufu pyramid Corner Angle tangent and CUBIT <---

This image is presented as a prelude to the combination of:
square root 2 -- and square root 5,
and the:
Grand Unification Earth Tropical Year, 
seen in the next image of unique ancient pyramid cubit system mathematics.

[Image: FeGueY4.jpg]

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IMAGE THREE -- supporting data

The Grand Unification Tropical Earth Year,
365.2430698~ days,
emerges from cubit 20.625 -- times -- 280 cubits:
Pyramid height:
5775 inches = 481.25 feet height,
With square root 5,
and square root 2, combined as a fraction, the pyramid height reveals the process.
Those two square roots are abbreviated as:
sqrt. 2  and  sqrt. 5 <---

Ten -- Grand Unification Tropical Earth Years --
3652.430698~ days,
times:
{sqrt 5 / sqrt 2}
equals
5775 inches ----- assigned as pyramid height in inches.
5775 inches = 280 x cubit 20.625

Or,
you could write it as:
10 inches -- times -- 365.2430698~ Grand Unification value,
times:
{sqrt 5 / sqrt 2
equals
5775 inches ... if you are persnickety about units in these cases.

Earth Tropical Year in days:
NASA    365.2422
Grand Unification  365.2430698~
Ancient Metonic cycle  365.2467711~

Grand Unification Tropical Earth Year
expanded value in decimal placements: 365.243069 749 44784~

Thus:
Square Root Two Cubit:
20.62394778~ = 10500  /  {360  x  sqrt.  2}  =  175  /  {6 x sqrt 2}
20.62394778~ 
also equals:
{10  x  sqrt. 5  x  365.2430698~}  --  divided by  --  396 <---
note:
396 = 19.2  x  cubit 20.625. 

Thus:
Square Root Two Cubit:
20.61923374~ = Remen foot 14.58 inches   x  sqrt 2 <---
also, 
equals:
693  x  243 Venus Rotational Day,
divided by:
{10  x  365.2430698~  x  sqrt. 5}

note: the above --  {693 x 243}  =  168399  =   cubit 20.618 18 18~  x  8167.5 cubits
cubit = {1134 / 55}

------------------------------------------


square root 5 -- divided by -- square root 2,
equals,
square root 2.5 <---
However for equation display purposes I show the fractional form.

-----------------------------------------

IMAGE  THREE: first pyramid

A two slope rectangular base pyramid is presented.
Pyramid height is seen as 5775 inches = 280 x cubit 20.625 inches.

The two angle tangents produce angles A and B <---
Tangent angle A  =  {550 / 432}  =  {4  /  by  3.14 18 18 18~}
The ancient Pi progression value:
3.14 18 18 18~  =  {1728 / 550} .

The angle A tangent --  {550 / 432},
applied to the 5775 inch height,
produces base length 9072 inches = 756 feet. 

Tangent angle B =  square root 1.62 Whip
{our original square root two cubit generated pyramid slope tangent}.

This produces the pyramid base length --->  9074.537026~ inches.
That equals:
440  x  20.62394778~ inch --  square root two cubit,

cubit 20.62394778~ = 175 -- divided by -- {6 x square root 2}.

[Image: bkPp1Eg.jpg]

IMAGE  THREE -- 2nd pyramid
A second -- two slope rectangular base pyramid -- is presented.
Pyramid height is seen as 5775 inches.
Two base lengths:
9075 inches = 440  x  20.625 cubits
9072 inches = 440  x  20.618 18 18~ 


Once you have this equation,
from the height,
you can then write the equations for the base lengths!
And using the fixed height,
5775 inches,
you can then revolve through the cubit system dynamics, 
by applying the TRUE -- Earth sidereal and tropical years, 
to the equation.

Those equations are seen to the right of the pyramid.
The series of cubits found are:
cubits:
20.625 --------------   365.2430698~  Grand Unification
20.62495089~ -----   365.2422  NASA
20.62575049~ -----   365.25636  Earth sidereal 21st century exact

Seeing how the Ancient Metonic cycle:
235 Lunar Months = 19 Earth Tropical Years
produces:
365.2467711  days for the Tropical Earth Year,
the Grand Unification Tropical Year:
365.2430698~ days,
being much more exact,
incorporates an important cubit system dynamic,
being exposed with cubit 20.625,
in the 5775 inch height.

The key, being the combinations of square root 5, and square root 2,
to accelerate the Tropical Earth Year Code,
into pyramid dimensions with cubits. 

[Image: VniJXwx.jpg]


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Vic, This is astounding evidence that an ultra-advanced geo-referencing culture existed before the ice age and passed it down to the survivors of a tumult that had to continually struggle to make such measures a mission.

[Image: naturesmostb.jpg]

This gnosis, although not universal could be re-gained if lost, merely by celestial observance and ground survey.
Held as closley gaurded secrets...when disaster strikes...you need a back-up hard drive to keep computing after a malfunction    affects the network,   therefore you teach the savages and civilize them with the rule be it any local division of a metric.

Maybe a king no true ruler.
Maybe a ruler is  true king.


Quote:Maybe a king no true ruler.
In the model, each agent (individual) was given one goal—to maximize the future possibilities available to itself.

The resultant ripple of informational shaped the movement and apparent 'behavior' of the group.
When the group reorganized into more complex formations, according to new information, it reassessed itself.
It continued gathering and exchanging information, and then reorganizing, until the goal of maximizing the space around each particle was achieved.
Maybe a ruler is  true king.
https://techxplore.com/news/2019-09-natu...gence.html




Kudos!!! LilD


also...enjoy Arrow

SEPTEMBER 6, 2019
Sum of three cubes for 42 finally solved—using real life planetary computer
by University of Bristol
[Image: 5d7282fb7c23a.jpg]
Hot on the heels of the ground-breaking 'Sum-Of-Three-Cubes' solution for the number 33, a team led by the University of Bristol and Massachusetts Institute of Technology (MIT) has solved the final piece of the famous 65-year-old maths puzzle with an answer for the most elusive number of all—42.

The original problem, set in 1954 at the University of Cambridge, looked for Solutions of the Diophantine Equation x3+y3+z3=k, with k being all the numbers from one to 100.
Beyond the easily found small solutions, the problem soon became intractable as the more interesting answers—if indeed they existed—could not possibly be calculated, so vast were the numbers required.
But slowly, over many years, each value of k was eventually solved for (or proved unsolvable), thanks to sophisticated techniques and modern computers—except the last two, the most difficult of all; 33 and 42.
Fast forward to 2019 and Professor Andrew Booker's mathematical ingenuity plus weeks on a university supercomputer finally found an answer for 33, meaning that the last number outstanding in this decades-old conundrum, the toughest nut to crack, was that firm favourite of Douglas Adams fans everywhere.
However, solving 42 was another level of complexity. Professor Booker turned to MIT maths professor Andrew Sutherland, a world record breaker with massively parallel computations, and—as if by further cosmic coincidence—secured the services of a planetary computing platform reminiscent of "Deep Thought", the giant machine which gives the answer 42 in Hitchhiker's Guide to the Galaxy.
Professors Booker and Sutherland's solution for 42 would be found by using Charity Engine; a 'worldwide computer' that harnesses idle, unused computing power from over 500,000 home PCs to create a crowd-sourced, super-green platform made entirely from otherwise wasted capacity.
The answer, which took over a million hours of calculating to prove, is as follows:
X = -80538738812075974 Y = 80435758145817515 Z = 12602123297335631
And with these almost infinitely improbable numbers, the famous Solutions of the Diophantine Equation (1954) may finally be laid to rest for every value of k from one to 100—even 42.
Professor Booker, who is based at the University of Bristol's School of Mathematics, said: "I feel relieved. In this game it's impossible to be sure that you'll find something. It's a bit like trying to predict earthquakes, in that we have only rough probabilities to go by.
"So, we might find what we're looking for with a few months of searching, or it might be that the solution isn't found for another century."




Explore further
Bristol mathematician cracks Diophantine puzzle



[b]More information:[/b] Andrew R. Booker, Cracking the problem with 33, Research in Number Theory (2019). DOI: 10.1007/s40993-019-0162-1
Provided by University of Bristol


https://phys.org/news/2019-09-sum-cubes-...-life.html
Along the vines of the Vineyard.
With a forked tongue the snake singsss...
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Grand Unification of Ancient and Modern Mathematics and Geometry
Ancient and Modern Cubits
Megalithic Yard 2.72 Feet Proven as Ancient Intent

Calendar Count
Mercury synod    116 days  {with Earth}
Mercury sidereal  88  days

An Ancient Math Lesson

The:   {1 / aPi} --  plus --  One  -- Planetary Timeline Progression.

{if you are going to follow the math with the cubits,
be sure to use the fractional equaivalents offered }

----------------------------------------------

One sees the phi progression as such:

inverse phi                                    phi
0.618033989 --- plus One = 1.618033989 -- plus one = 2.618033989
These values,
can be dimensional lengths, or they can be angle tangents.

Other important "ancient constants" can be tested in the same fashion.
The ancient pyramid cubit system constants,
were mathematically applied in a variety of math progressions.

The ancient pi progressions use this as the fundamental ancient value:
aPi  =  22 / 7
The most recognized form of ancient pi,
other than pi itself.
It is the fundamental in the Khufu Pyramid slope formula:
 
4 / aPi  =  14 / 11 = slope angle tangent

Inverse  aPi 
{1 / aPi}  =  0.318 18 18~
{7 / 22}  =  280  /  880  =  cubits in pyramid height  /  by  10 Mercury sidereal


The most amazing aspect of -- inverse aPi -- {1 / aPi}
is the:
{1 / aPi} --  plus --  One  -- planetary timeline progression. 

{1 / aPi}  plus One =  1.318 18 18 18~
equals:
116 day Mercury synod -- divided by --  88 day Mercury sidereal  <------- !

IMAGE ONE -- Top Section

{1 / aPi} --  plus --  One

The progression then adds One Unit Whip at a time,
seen as linear dimensional lengths in the image.
{think pyramid base lengths}

A profound result is found with the planet Mercury calendar count sidereal and synod,
evolving directly from the application of aPi,
in a common math progression.
One might say that could still be coincidence,
but as we proceed in the steps of:  "plus One",
the results are nothing less than spectacular in true ancient planetary timeline code,
that also details specifically,
the megalithic yard of 2.72 feet within the ancient code.

The Earth sidereal 365, and Venus synod 584 days, appear in the next step,
and the last step increment shows 360 count,
with cubit 20.625. 

A new cubit Dance2
is found within the mathematical infrastructure of:  {1 / aPi}  plus One.
This cubit is of unique outcome,
because it produces a Khufu Pyramid base length of exactly:
9071.2  inches. --------------------------------->  907120  =  3335 x 272.
440  x  20.616 36 36 36~ inches {cubit}.

The formula seen in the image shows the cubit also working with the megalithic yard.
In the fraction seen,
23 megalithic yards  =  23  x  2.72 feet  x  12 inches per foot,
{to align cubits with inches in units}

This application of  -- {1 / aPi} plus One -- in the form of a dimensional length Whip
allows the planetary timelines to express the lengths.


Bottom Section Image One
Identifying the Mars sidereal 687 days

So  Hmm2  how do we get to the Mars sidereal,
with the ancient pyramid Pi  cosmology?

Calendar Count 687 days --  x  3  =  2061 =  100 cubits 20.61 inches.

The absolute peak in ancient pyramid pi - cubit system - planetary timeline harmonic code,
is evidenced in these simple equations.
Without question this is profound evidence of intent,
in this ancient cultural sacred math and geometry.
There is no chance whatsoever that these results could be any form of coincidence.

The new math progression,
adds ---> aPi ---> to the original equation.

{1 / aPiplus  One  -->  plus  --> aPi,

{1.318 18 18 18~  +  3.142857 142857~}  =  4.461038961~
eqauls:

{4  x  687 Mars} -- divided by --  {7  x  88 Mercury} -  sidereal.


[Image: xxEtcvp.jpg]



------------------------------------------------------------------------------------------------------------------------

IMAGE TWO

Considering the above progression of "ancient constants",
it occurred to me that an even more focused test could be developed.
With the Khufu Pyramid,
the slope angle tangent:
14 /  11  = 1.27 27 27 27~ = 4  /  aPi

A progression is created:

aPi -- plus -- 14 / 11 -- plus -- 14 / 11 

In the first step of the progression,
the Megalithic Yard of 2.72 feet,
-- is proven -- to be expressed by the Khufu Pyramid cubit system,
and the aPi mathematical  infrastructure.

This eqaution shows: 
272 feet in the numerator, and 756 feet in the denominator.
100 megalithic yards -- and -- the standard Khufu Pyramid base length.
Note:
in the equation shown as equaivalent using just cubits,
the Royal Cubit 20.618 18 18~ -- {1134 / 55} -- appears in the denominator.

The cubit 20.6 06 06 06~  =  680 / 332720 / 1320  =  2720 / {64 x 20.625}
is pure ancient megalithic yard math.
It creates a Khufu Pyramid base length of:
9066.666666~ inches.
It is also tied to ancient pi value 3.1416:
314160  =  15246  x  20.6 06 06 06~
314160  =  7392  x  20.625  x  20.6 06 06 06~

This progression adds {14 / 11} again,
seen at the bottom of the image.
The resultant full length seen,
exposes the Earth year 365 days,
and the Venus synod 584 days.
Once again proving that the planetarty timelines are expressed by aPi,
and the Khufu Pyramid cubit system dynamics.


[Image: HcuOaFb.jpg]

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This sets the stage for the construction of a pyramid.

But this time,
instead of assigning --  {1 / aPi} --  plus -- One --  as a dimensional length,
we will assign that value,
1.318 18 18~,
as the side face slope angle tangent <---
of a pyramid with height = 2,
and the resultant base lengths return to a form of the planet Mercury timelines.

That will be in the next post. 

Guitar

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