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KAVALA-GEMATRIA-NUMEROLOGIA BIBLICA-ETC: GEOMETRIA SACRA-PUNTOS ALREDEDOR DE UN CIRCULO
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DOOMSDAY REVEALED THE BIGGEST SECRET
Rhombic Dodecahedron 3 D projection
The rhombic dodecahedron forms the maximal cross-section of a 24-cell, and also forms the hull of its vertex-first parallel projection into 3 dimensions. The rhombic dodecahedron can be decomposed into 6 congruent (but non-regular) square dipyramids meeting at a single vertex in the center; these form the images of 6 pairs of the 24-cell's octahedral cells. The remaining 12 octahedral cells project onto the faces of the rhombic dodecahedron. The non-regularity of these images are due to projective distortion; the facets of the 24-cell are regular octahedra in 4-space.
This decomposition gives an interesting method for constructing the rhombic dodecahedron: cut a cube into 6 congruent square pyramids, and attach them to the faces of a second cube. The triangular faces of each pair of adjacent pyramids lie on the same plane, and so merge into rhombuses. The 24-cell may also be constructed in an analogous way using two tesseracts.
The rhombic dodecahedron forms the convex hull of the tesseracts vertex-first parallel-projection. The number of vertices in the layers of this projection is 1 4 6 4 1 - the fourth row in Pascal's triangle defined by 4 points on a circle or the square.
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