...

Thanks for pointing that out on the tetrahedral AND square hexads of the Cydonia mounds.

I had proven that back in 2011 with that pdf --- but now the process,

and methodolgy -- is cleaned up and presented better with fresher images.

Like I said earlier,

if the NASA boys and all their pseudo science afficionado - nono's,

don't like:

the Cydonia mound placements as the pre-requisite for the geometry presented,

well OK,

the geometry -- separate from the Cydonia mounds -- is still EXACT and perfect.

Simply,

the famous tetrahedral angle -- 19.47122063 degrees

equals

90 -- minus -- the tetrahedral "electron spin angle" 70.528~~~ degrees {H Crater UTSI}

which hs the angle tangent,

square root 8 <---

This is the premier tetrahedral angle {arctan sqrt 8},

seen in the Cydonia Mounds,

as the premier --- isosceles triangle --- therein.

Placing the premier electron spin angle as the base angles of that isosceles triangle seen,

thus the -- FULL APEX ANGLE -- of the isosceles,

has angle V

with

tangent

square root of fraction: {32 / 49}

and that fraction alone <---

will display a progression of ratios of -- Pi values -- to Khufu pyramid heights -- in feet

32 / 49 = 100 Pi / 481.0563751 feet --- uses cubit -- 6.5625 Pi -- 20.61670179 inches

Angle V, of course,

would be the angle in Hoaglands design of :

cross secting tetrahedrons in the Earth,

but everyone just focused on 19.47122063 degrees,

when you had to look above and below the equator at -- 2 x 19.47122063 degrees <---

ie

angle V

the tetrahedral hexads -- attached to the Corner Angles,

of the circumscribed the Khafre Pyramid Octahedral,

then AUTOMATICALLY <---

generated the Square Hexads --- on to the Side Faces -- of the circumscribed Khafre geometry.

The Square Hexad also reveals direct attachment to the Khufu Pyramid.

Crater and McDaniel at UTSI failed to see the importance,

of drawing the blue line,

from mounds -- P to D -- they wanted to adhere to a strict hexad, and that was a mistake.

the blue lines for P and D -- extend in the geometry onto the Square Hexad positions:

{see post at bottom of last page for this exact process and method}

This creates angles c and d --- and those two angles produce the Khufu Pyramid slope:

Of curious interest are the -- phi angles -- {bottom left above image}

AND

the extending dashed lines <---

where does the extending dashed line -- going down --

cross sect the -- base line -- in the diagram? --

producing a resultant length,

--------along that base line <--- at the cross sectional point?

I have not tried that out,

but I suspect that it is the same length,

as the length:

from D --- to where you see angle q situated, and that is phi -- minus -- 0.5 <---

On EA's post.

on square roots

well,

we look at the NASA data ---> for the saturn synod to Earth --> 378.09 days <---

this NASA data value,'

creates a convergence with:

square root two

from the -- aptitude review -- thread:

and from the Menkaure Pyramid Petrie data

an ancient -- old fashioned method -- of finding convergent -- square root two

Thanks for pointing that out on the tetrahedral AND square hexads of the Cydonia mounds.

I had proven that back in 2011 with that pdf --- but now the process,

and methodolgy -- is cleaned up and presented better with fresher images.

Like I said earlier,

if the NASA boys and all their pseudo science afficionado - nono's,

don't like:

the Cydonia mound placements as the pre-requisite for the geometry presented,

well OK,

the geometry -- separate from the Cydonia mounds -- is still EXACT and perfect.

Simply,

the famous tetrahedral angle -- 19.47122063 degrees

equals

90 -- minus -- the tetrahedral "electron spin angle" 70.528~~~ degrees {H Crater UTSI}

which hs the angle tangent,

square root 8 <---

This is the premier tetrahedral angle {arctan sqrt 8},

seen in the Cydonia Mounds,

as the premier --- isosceles triangle --- therein.

Placing the premier electron spin angle as the base angles of that isosceles triangle seen,

thus the -- FULL APEX ANGLE -- of the isosceles,

has angle V

with

tangent

square root of fraction: {32 / 49}

and that fraction alone <---

will display a progression of ratios of -- Pi values -- to Khufu pyramid heights -- in feet

32 / 49 = 100 Pi / 481.0563751 feet --- uses cubit -- 6.5625 Pi -- 20.61670179 inches

Angle V, of course,

would be the angle in Hoaglands design of :

cross secting tetrahedrons in the Earth,

but everyone just focused on 19.47122063 degrees,

when you had to look above and below the equator at -- 2 x 19.47122063 degrees <---

ie

angle V

the tetrahedral hexads -- attached to the Corner Angles,

of the circumscribed the Khafre Pyramid Octahedral,

then AUTOMATICALLY <---

generated the Square Hexads --- on to the Side Faces -- of the circumscribed Khafre geometry.

The Square Hexad also reveals direct attachment to the Khufu Pyramid.

Crater and McDaniel at UTSI failed to see the importance,

of drawing the blue line,

from mounds -- P to D -- they wanted to adhere to a strict hexad, and that was a mistake.

the blue lines for P and D -- extend in the geometry onto the Square Hexad positions:

{see post at bottom of last page for this exact process and method}

This creates angles c and d --- and those two angles produce the Khufu Pyramid slope:

Of curious interest are the -- phi angles -- {bottom left above image}

AND

the extending dashed lines <---

where does the extending dashed line -- going down --

cross sect the -- base line -- in the diagram? --

producing a resultant length,

--------along that base line <--- at the cross sectional point?

I have not tried that out,

but I suspect that it is the same length,

as the length:

from D --- to where you see angle q situated, and that is phi -- minus -- 0.5 <---

On EA's post.

on square roots

well,

we look at the NASA data ---> for the saturn synod to Earth --> 378.09 days <---

this NASA data value,'

creates a convergence with:

square root two

from the -- aptitude review -- thread:

Quote:https://nssdc.gsfc.nasa.gov/planetary/fa...nfact.html

NASA data

Saturn synod with Earth:

378.09 days

Square Root Two Convergence Dynamics

Saturn Synod

NASA

378.09 x square root two = 534.7 0000 58~ <--- note the 4 zeroes

round off to whole number

and create convergenrt fraction

53470

divided by

37809

equals:

1.414213547 convergent

1.414213562 true

eight decimal accuracy --- 0.999999989 <-----

so:

106940 -- divided by -- 37809 = sqrt 8 convergent -- exact same accuracy

therefore:

The NASA Saturn Synod generated --

tetrahedral tangent -- for 19.47122063 degrees:

37809 -- divided by -- 106940

for

19.47122083 degrees <----

and from the Menkaure Pyramid Petrie data

an ancient -- old fashioned method -- of finding convergent -- square root two