The Mars Pentad Time Pyramids The Quantum Space Time Fractal Harmonic Codex The Pentagonal Pyramid, The Pentagonal Prismatic Crystal,

Tetra Phihedral Pyramids, Tetra Phihedral Pyramidal Crystallization

Abstract:

An addendum to the Mars Pentad Time Pyramids Pentagonal Pyramid pdf .

This is an expansion of the geometry as masterpieces of tetrahedral geometry,

unveiled into pyramids and crystallizations.

Exhibiting evidences of the Harmonic Codex using the Mars sidereal [687] days in the

pyramid base itself, this fine display of pyramids emulates the tetrahedral nature of the

Mars Pentad landforms themselves, and attempted to be executed artistically by hand.

Using [Pi] in the base as [7 / Pi] for the angle formulas on this pentagonal pyramid,

There is a microcosmic factor of error with the base angle being [54 .01] degrees.

This gives us a [540.1] degree pentagon, but pentagonal angle [54] is achieved.

When using [aPi] in the formulas the angle of [54 .00] is reached! [aPi] = [22 /7]

Using Ancient Pi as [aPi] = [22 / 7], The Pentagonal Prism is initiated by creating

the Face Fronts as Pyramid bases. The Harmonic Codex reveals the Mars sidereal

mathematically integrated into the pyramid bases for the pentagonal prism face fronts.

Previous pdf, and shown here are Pentagonal Pyramids which may be attached to the top

and bottom of the pentagonal Prism. After this image are optional square base pyramids

to attach to the Pentagional Prism 2 Phi square face fronts.

This pyramid can be a choice to attach to the Pentagonal Prism Face Fronts.

When the Height is sine [54] degrees or that = [Phi / 2],

The tetrahedral angle [19 .47122061] becomes angle [x] as shown,

the angle at the bottom of the Pyramid Side Angle.

Using height sqrt. [40Pi /3] which = 4 [Phi], the tetrahedral angle flips.

Note:

[40Pi / 3] = [6 .472086375] = close enough to = [6 .472135956] = 4 [Phi].

Using my new value for Pi proposed as True Pi = [3 .141640787],

The values become EXACT.

The Side Face Angle is Mars Pentad [26 .56505~] degrees when H = sin[54].

This is probably the optimum pyramid to utilize in attaching to face fronts

of either the Pentagonal Prism or the Cubic Platonic Solid.

I have not completely determined the interior packing of the Pentagonal Prism.

For certain there will be Five, [2 Phi] square base Pyramids packing the interior

with Side face pentagonal angles of [54] degrees, by virtue of height [Phi].

This should leave a space above that packing and below it,

to fill with a reverse pentagonal pyramid of the proper dimensions,

which is most likely this pentagonal pyramid here.

The tetrahedral angle created by the [1 by Sqrt2] triangle with hypotenuse square root [3],

is displayed here with two different heights, Phi and 2 Phi.

The [Phi] height creates Side Face Angles of [45] degrees,

And the [2 PHI] height FLIPS the tetrahedral angles,

and creates the Side Face angle as [26 .5] degrees.

These two are the same pyramid as shown just previous to the prior page.

Here is an attempt to just give a better perspective of the comparative geometries,

and how the tetrahedral angles flip positions with exclusive heights geared towards

multiples of Phi.

These can be attached to the pentagonal prism,

or the Cubic Platonic Solid to create the crystallizations.

The optimum pyramid however remains the one in the prior page.

This is the central cubic Platonic Solid that the pyramids will be attached to

to attain the Tetra Phihedral Platonic Solid Crystallization.

Attached to the face fronts will be pyramids of [Phi] height,

thus accomplishing a reflective pyramid on all sides, inside and out!

Note:

This diagram shows the true exterior lengths,

but the interior is shown as a correlation to the identical tetrahedral geometry.

Thus the interior packed pyramid heights would also be height of [Phi],

and in place of sqrt. [2], would be the length [a] = [2 .288245612], etc.

Angle’s [x] and [y] follow the tetrahedral geometry created by a [2 Phi] square base,

and uses Height [Phi]. A variety of tetrahedral pyramids can be attached to this,

but the optimum uses height [Phi] as a perfection of reflective geometries.

Shown above is how the various pyramids created will attach directly to a central

cubic Platonic solid to form a Crystallization of the Six Pointed Star,

often refered to as Mars when seen in ancient Sumerian stele or cylinder seals,

as according to the Sitchin translations. It should be noted that most cylinder seal

iconographies of the Gods holding the Seven Dots as Earth, are accompanied by a God

holding up an eight pointed star. That would be Saturn, in congruity to planetary calendar

functions and this is why the Greeks and Romans named Saturn Chronos.

Below are a series of pentagonal pyramids which display “coincident” denominators

with the common numerator [19 .47122061], which is the exact tetrahedral angle often

referred to as [19 .5] degrees. This series of heights applied to the pentagonal pyramids

proves many aspects of both the “decimal variation” system, and the Harmonic Codex.

For instance, denominator [7 .07106781], is also known as sin and cos [45] degrees,

which is [0 .707106781]. NOTE: Ancient Pi or [aPi] works as well!

In the above pyramids is denominator Sqrt. [16 .6666]. The decimal variation system

reaches into the square roots as well. The Mars Pentad angles [30 / 18] = [1 .66666].

That value surfs through the planetary timelines. Mars synod [780] x [1.6666] = [1300].

My Jupiter sidereal [4333 .333333] / by [16 .66666] = [260] Tzolkin. = [20] x [13].

Bottom left a pyramid is shown which has the reverse angle of the Great Giza pyramid

in the 5 Side Angles. From these constructs a new pentagonal pyramid base is assembled

on the right to force the Giza reverse angle to flip, and become the Side Face Angle!

So below is the resultant Pentagonal Pyramid with the Side face slopes exacted to the

Giza pyramid slopes. Mars [780] synod x [5 .55555~] = [4333 .33333] Jupiter.

This Pyramid is slope arctangent Sqrt. [1.62], where [1 .62] = [aPhi] = ancient Phi!

Height denominator [5 .55555~] x [780] Mars synod = [4333 .33333] Jupiter sidereal.

NOTE: length C has been optimized to equal Sqrt[2] x [1 .947122061] = [2 .753646426],

over the original value of C = [2 .753683349] from the previous page.

This is because once the pyramid base was extrapolated from the previous criteria

which were dependant upon [7 / aPi] and [Phi] in the original [54] degree pentagon angle,

{clearly shown in the prior pages}, the author was able to isolate the “Coincident” value

with “Harmonic Codexing” extrapolations to find that Sqrt[2] x [1 .947122061]

equaled essentially so very close to the original [c] length of [2 .753683349],

such that I used Sqrt[2] x [1 .947122061] as length [c] instead,

which still retains the pentagon base [54 .00~] degree angle, and the creates the slope

of the Great Giza Pyramid to EXACTLY arctangent sqrt [1 .62] = [51 .844~] degrees!

USING HEIGHT [1 .947122061], the tetrahedral angles of the [1 by sqrt2] triangle

with hypotenuse sqrt [3] are achieved exact!

REMEMBER !!! If you do the math, numbers like [5 .55555~],

MUST be punched into the calculator as the full value extent =[5 .555555555~] = [50 /9].

Phi is valued at [1 .618033989]

Unbelieveably, the reverse angle of B, described as angle Ba in the diagram:,

when Ba value [44 .15820411] is squared = [1950] essentially.

Also of interest using Height [19 .47122061] divided by [5 .55555] = [3 .50481971]:

Using Tzolkin [260] divided by [120] = [2 .166666~], then x [Phi] = [3 .5057403]!

Also [4333 .3333~] Jupiter sidereal = [216 .66666~ ] x [20].

The Side Angle Length and the Side Face Length are also shown with close correlations.

Conclusively, the mathematics in all the pyramids go a long way to giving solid evidence

for the validity of the Harmonic Codexing process, and the decimal variation system.

The establishment of using tetrahedral [19 .47122061],

and it’s decimal variant [1 .947122061],

as lengths and not angles, proves that the number is an universal mathematic constant

on the level of Phi, Pi, and [e],

by virtue of the tetrahedral constant literally Quantum Fractal Harmonic Time surfing

through the pyramids and various formulas already registered in the previous pdf.s,

to include the Solfeggio frequencies [852] and [528], and [639] and [396].

[852] / by [528] = [x], then [x] times [1 .947122061] = [Pi], off by [0 .00035].

Or,

[639] / by [396] = [x], then x [19 .47122061] = 10] Pi].

In the next pyramid below, I reduce the size of the sides of the pentagon base by half,

to see what happens with a pure [54] degree angle.

All the previous pyramids got to [54 .00~] degrees but not exactly perfect:

Previous page pyramid, for pentagon corner angle = arctan [C] / by [2], = [54 .008].

Close enough indeed, and I don’t think anyone will argue with that close exactness.

However I performed the operation in the next pyramid,

and the resultant angle is [51 .853] degrees, fully [1 / 100th]

of a degree off!

Be sure to notice again what the Mars and Jupiter synod of [816 .5] days accomplishes

in Harmonic Codexing! Also note that Mars Pentad Angle [26 .5] is utilized in a novel

fashion such that it works like a constant as well, and squared = [702 .25],

which is extremely close to the important Mayan Dresden Codex [702].

This a study on numbers for a pyramid that just popped up in Harmonic Codexing.

The above value of [a] = [3 .6522~] correlates the Earth year of [365 .22] days.

One obviously finds many values attributed to the Earth Year:

I have seen [365 .24] , and [365 .2422], and others.

My value used is seen in astronomical math science just as often as the above values.

Note the Harmonic Codexing of recurrent values from all the past pdf.s studies,

and the analyses and extrapolations within them.

To Finish with The Mars Pentad Tiles, as designed in the first Mars Time Pyramids pdf.

The Pent-Octad Grid quadrant.

One can see the Mars Pentad within the tetrahedral grid with Mounds A, E, B, D, G.

The Pent-Octad Hypergon has [16] sides, and becomes diamond like.

NOTE: There is a central [26] sided symmetrical polygon

circumscribing the interior Hypergon Diamond, count the sides slowly!

The Pent Octad Hypergon Grid creates a beautiful symmetrical 12 sided polygon

in the center there, which becomes the spacer between the Hypergons.

The central [26] sided polygon within the Pent-Octad Hypergon is isolated

to create a new Pentad Tile grid component! Note that [26] relates to [260] Tzolkin.

And so the Final image:

Are the Pentad Tiles created from the [26] sided Polygon, and for fun,

I will call it the Tzolkin Pentad Tile.

Take a look at the unique [22] sided polygon that emerges as the spacer in the grid for the

repeating tile units of the [26] sided tile replicant.

Coincidentally, a very close one: Double sqrt of [1 .95] = [26 / 22].

Vic Showell {C} Dec 10 –15 2008