Sacred Geometry and Dodecahedron Symbolism

deriving terrestrial cycles that are multiples of the precessional Platonic year. The transmuting. The human verb, permeated by the Divine Word which is Truth, trans/figures Nature into Beauty revealing the Glory of God. In this sense, the Dodecahedron corresponds to the Divine Name יה-הללו Allelu-iah which means "God be praised". To the 12 faces of the Dodecahedron correspond the 12 Divine Powers that transmit their energy to the 12 Spirits that stand at the 12 Signs of the Zodiac which represent the organs of the Celestial Man that from this pour forth into our World. To the 12 Angels correspond the 12 Zodiacal Signs and, in Humanity, the 12 Apostles and the 12 Tribes of Israel that identify the twelve typologies or degrees of glorified Humanity through which the "Lord God" acts and which constitute the Kingdom on Earth. Each tribe possesses its blessing, its individual characteristic, its social function but, as a whole, they manifest the One God on Earth. 1. Zodiacal sign: מלכידאל Tribe: Gad גד Permutation: יהוה Stone: Bloodstone jasper. 2. Zodiacal sign: אסמודאל Tribe: Efraim אפרים Permutation: יההו Stone: Malachite. 3. Zodiacal sign: אמבריאל Tribe: Manasse מנשה Permutation: יוהה Stone: Topaz. 4. Zodiacal sign: מוריאל Tribe: Issacar יששכר Permutation: הוהי Stone: Quartz. 5. Zodiacal sign: ורכיאל Tribe: Jehudah יהודה Permutation: ההיו Stone: Ruby. 6. Zodiacal sign: המליאל Tribe: Neftali נפתלי Permutation: הויה Stone: Agate. 7. Zodiacal sign: זוריאל Tribe: Asser אשר Permutation: והיה Stone: Emerald. 8. Zodiacal sign: ברביאל Tribe: Dan דן Permutation: וההי Stone: Bloodstone jasper. 9. Zodiacal sign: אדוכיאל Tribe: Benjamin בנימן Permutation: ויהה Stone: Sapphire. 10. Zodiacal sign: הנאל Tribe: Zabulon זבולן Permutation: היהו Stone: Onyx. 11. Zodiacal sign: כאמבריאל Tribe: Ruben ראובן Permutation: היוה Stone: Diamond. 12. Zodiacal sign: ברכיאל Tribe: Shimeon שמעון Permutation: ההוי Stone: Lapis lazuli. With the symbols of the Zodiacal Signs and their corresponding angels placed on the faces, the Dodecahedron is a cosmic symbol. The Icosidodecahedron: The equilibrium point in the passage from the Icosahedron to the Dodecahedron is the Icosidodecahedron. The Icosidodecahedron is the perfect reunion of the Dodecahedron, since it also possesses 12 pentagons, and of the Icosahedron, with its 20 equilateral triangles. Indeed, this Archimedean polyhedron possesses 12 pentagons and 20 triangles that it combines in a total of 32 faces. Its synthesis number refers to completeness by conjugating the symbolism of 12 and 10, i.e. $12 \times 5 + 20 \times 3 = 60 + 60 = 120$: Obviously this solid also manifests the golden ratio, since the vertices of an icosidodecahedron with unit side have as coordinates the even permutations of the following points $(0;0;\phi); \left(\frac{1}{2};\frac{\phi}{2};\frac{\phi^2}{2}\right)$; and the sphere that circumscribes such an icosidodecahedron has radius exactly $\phi = 1.618...$. In this sense it finds its two-dimensional equivalent in the decagon. The Truncated Icosidodecahedron: The relationship of the Icosidodecahedron with the decagon is made even more explicit in its truncated version. In the truncated Icosidodecahedron, in fact, the 12 pentagons are replaced by 12 decagons that are here combined with 20 hexagons and 30 squares. The truncated icosidodecahedron constitutes a perfect development of the cosmic theme introduced by the Dodecahedron. In fact, if we consider its synthesis number, we have $12 \times 10 + 20 \times 6 + 30 \times 4 = 120 + 120 + 120 = 360$: The Snub Dodecahedron: Starting from the truncated Icosidodecahedron and alternately removing half of the vertices, we obtain two versions of the snub Dodecahedron or Dodecahedron, one of which is right-handed and the other left-handed. As in the case of the snub Cube, the snub Dodecahedron is also a chiral polyhedron, not equivalent to its reflected image, and therefore presents itself in two distinct forms. The snub Dodecahedron is formed by 92 faces, of which 12 Pentagons and 80 Triangles. If we calculate the synthesis number of the polyhedron we have $12 \times 5 + 80 \times 3 = 60 + 240 = 300$; wonderful number that brings back to the perfection of the Ternary, that is to the Divine Fire indicated in Hebrew by the letter Shin ש having gematric value equal to 300. The Kepler-Poinsot Polyhedra: The regular stellated polyhedra, also known as Kepler-Poinsot polyhedra, all live on the same dodecahedral symmetry, of which they are a development. These polyhedra present themselves in dual pairs: the Great stellated dodecahedron with its dual which is the Great Icosahedron; the Small stellated Dodecahedron with its dual, namely the Great Dodecahedron. In both cases the equilibrium polyhedron is the Dodecahedron which is obtained by stopping the duality operation at the point that is in golden ratio $0.618...$ between a polyhedron and its dual.