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

Abstract: Early in this author’s labors while attempting to create the original Mars Pentad Time Pyramids document and pyramid drawings, a failure was experienced trying to develop a pentagonal pyramid with some form of tetrahedral geometry. This pentagonal pyramid is now approached again and refined to this tetrahedral criteria, creating tetrahedral angles in the pentagonal pyramid, and pentagonal [54] degree angles in the pentagon base for the pyramid. In the process another fine pentagonal pyramid was developed with pure pentagonal geometries using the value for ancient Egyptian Pyramid Pi = [22 / 7] = [aPi]. Also used is standard modern Pi and modern Phi in one of the two pyramids shown.

Introduction: Achieved are two Pentagonal Pyramids: One creates tetrahedral angle [54 .735~] in the Side Angle {not the Side Face Angle}, using a novel height of the value of tetrahedral angle [19 .47122061] / by [5], and then the reverse tetrahedral angle is accomplished with the same tetrahedral [19 .47122061] angle value as the height, but “Harmonic Codexed” to [1 .947122061]! This achievement of using the second height mentioned, proves aspects of the Quantum Space Time Fractal Harmonic Codex. Also used is Height = [2], which replicates the [36] and [54] degree angles in the pentagon base to the Side Angles of the Pentagonal Pyramid.

I have come to understand that there is not a “perfect” pentagonal pyramid. No matter what mathematical constants or geometry values used, there will be a slight factor of error inherent in the designs trying to attain tetrahedra. For instance, the first pyramid can only accomplish a [54 .01] degree angle in the base. The pyramid using ancient Pi will achieve a [54 .0029] degree angle in the base which is quite excellent. The tetrahedral angles however are quite excellent as well, being off exact pure tetrahedral by only a few thousandths of a degree.

I consider these to be negligible factors of error in the scope of the beauty achieved in these pentagonal pyramids. The idea then is to attach a pentagonal pyramid of these designs to the faces of the Dodecahedron, to create perfectly unique stellated dodecahedrons. Possibly one should then be able to pack the interior of the dodecahedron with [12] pentagonal pyramids either with tetrahedral geometries or with pentagonal geometry dependent on the height used as above indicated. However the most likely full packing of the interior reduces pyramid height by half, in which case the angles achieved will create quite an unusual planetary time function.

In this diagram it is noted that the ancient Pi pentagonal pyramid base will not exact a perfect tetrahedral angle as the pentagonal pyramid using true Pi and true Phi as constructs in the formation.

This diagram is fairly self explanatory: There are [3] different heights used, [19 .47122061 / by 5], [1 .947122061], and [2].

The flaw is in the angle [x] which is [54 .01] degrees, giving me a [540.1] degree pentagon, with a factor of error of [2 / 10,000] in the base. The tetrahedral angles resultant however, are virtually perfect, and have error only in the ten thousandths of a single degree.

Earlier in the introduction was mentioned the packing of the interior of the dodecahedron dependent on the inner height of the packed pentagonal pyramids. If the interior pentagonal pyramid heights are [1], then the Side Angles are [2] and [70], and the Side Face Angles are [24 .170] and [65 .8295]. Curiously if you square both those values you come excruciatingly close to standard astronomical planetary time lines: [24 .170~] squared = [584.2] or the [584] Venus synod, [65 .8295] squared = [4333 .524] or the Jupiter sidereal [4332].

Modern Phi value is used as [1 .618033989] and Phi squared as [2 .618033989]. Height used is [2]. Angle [x] is the pentagonal base angle =[54.00 293595]. Angle [z] is the pentagonal pyramid Side Angle = [35.99 807831] = [36] degrees. As you can see from the drawing lower right corner, even ancient Phi can be used in the process though not as perfect in the pentagon base, but perfectly in the Side Angle of the pyramid itself. If the interior packing is height [1] for the interior pentagonal pyramids, then the angles are similar as in the last pyramid and the same number anomaly occurs: Angle [24 .17910647] squared = [584 .629] closer to my [585] Venus sidereal I use and, Opposite Angle [65 .82089353] squared = [4332 .390026] ON THE BUTTON for standard western astronomical sidereal of Jupiter!

This below is a preview of the final upcoming Conclusion! Of the Mars Pentad Time Pyramids Part 2, And the Quantum Space Time Fractal Harmonic Codex.

The Great Pyramid of Giza in feet, with a comparison pyramid using [aPi]:

The [336] value is a high physics E8 value recently studied by the author.

This will all be explained and reviewed in the Conclusion pdf, along with the Leedskalnin numbers in the Harmonic Codex, the sidereal of Planet X and more. Cheers! PS, Sqrt [8] / Pi = tangent [41.997] degrees, Sqrt [14] / Pi = tangent [49 .98] degrees.

{C} Vic Showell Dec 11 2008

The Stellated Dodecahedron by Magnus Wenninger. Dodecahedron with pentagonal pyramids attached.

http://www.theweebsite.com/polyhedra/pmftc/fig22p.jpg http://www.theweebsite.com/polyhedra/pmftc/pmftc4.html