
Chapter 10.3 Worksheet Geometrics of the Platonic Solids, Metatron’s Cube, Chestahedron & Decatria
Chapter 10.3 Worksheet – Geometrics of the Platonic Solids, Metatron’s Cube, Chestahedron & Decatria
Title: Geometrics of the Platonic Solids, Metatrons’s Cube, Chestahedron and Decatria.
| Platonic
Solids |
Geometric Name | Faces | Vertices Points | Edges | Elements | Patterns |
| 0 Dim | Circle | 0 | 0 | 0 | All Energy | Source Everything |
| 0 Dim | Vesica Piscis | 0 | 0 | 0 | Duality | Expansion Sound |
| 0 Dim | 3 Circles | 0 | 0 | 0 | Trilogy | Collapsing Sound |
| 2 Dim | Triangle | 1 | 3 | 3 | Trilogy | 1 Triangle |
| 2 Dim | Square | 1 | 4 | 4 | 2 Triangles | |
| 02 Dim | Pentagon | 1 | 5 | 5 | 3 Triangles | |
| 1 3Dim | Tetrahedron | 4 | 4 | 6 | Fire – | 4 Triangles |
| 2 3 Dim | Hexahedron Cube | 6 | 8 | 12 | Earth | 12 Triangles = 6 Squares |
| 5 Dim | Chestahedron
Torus Energy |
7 | 7 | 12 | Heart Womb Exit out Matter | 10 Triangles = 4 Triangles & 3 Kites |
| 3 3 Dim | Octahedron | 8 | 6 | 12 | Air | 8 Triangles |
| 4 3 Dim | Dodecahedron | 12 | 20 | 30 | Universe | 36 Triangles = 12 Pentagons |
| 5 3 Dim | Icosahedron | 20 | 12 | 30 | Water | 20 Triangles. |
| 3 Dim | Solid Vector Equilibrium
Cuboctahedron |
14 | 12 | 24 | 5% Matter
Solids |
20 Triangles
Duality |
| 3 Dim | Cubohemioctahedron | 30 | 13 | 48 | Hollow | 36 Triangles |
| 3 Dim | Octahemioctahedron
Octatetrahedron Hollow Vector Equilibrium. Torus |
32 | 13 | 48 | Hollow
Skeleton |
32 Triangles
Central Point Vector Zero Source |
| 4 Dim | Time | 0 | 0 | 0 | Spacetime | Matter |
| 5 Dim | Metatron’s Cube
95% Torus Energy |
12 | 13 | 23 | 5% 4D Matter and 95% 5D | 26 Triangles = 5 Platonic Solids = Compass Circles |
| 6 Dim | Decatria Base 3
95% Torus Energy |
13 | 19 | 30 | Ascension | 34 Triangles =
1 Tri +3 Sq +9 Pentagons. |
| 6 Dim | Star Tetrahedron Merkabah Torus | 48 | 20 | 66 | Individual’s Space Craft | 48 Triangles |
| 6 Dim | Decatria Base 6
95% Torus Energy |
55 | 37 | 90 | Ascension
Master Birth |
76 Triangles
MB Path No 55 |
| 6 Dim | Star Chestahedron Merkabah
95% Torus Energy |
60 | 32 | 90 | Earth as a Space Craft | 60 Triangles
All planets as organs of the Sun. |
| 6 Dim | 12 Pointed Small Stellated Dodecahedron Merkabah
95% Torus Energy |
60 | 32 | 90 | Female
Duodecimal & Tridecimal Mathematics |
60 Triangles. And no Pentagons. |
| 7 Dim | 100% Source Energy
95% Torus Energy 5% Matter |
0 | 0 | 0 | Energy Source | Light & Sound & Matter |
Source: Robert Wilson. From https://en.wikipedia.org/wiki/Platonic_solid and https://frankchester.com/ For a full list refer to Worksheets for Chapter 15.
Title: Regular Star Polygons.

Source: Author: Cmglee. https://commons.wikimedia.org/wiki/File:Regular_star_polygons.svg
Title: This could be considered as my summary of the History of Our Universe as shared by R. Buckminster Fuller and as gleaned from his works covered in the textbooks ‘Synergetics. Explorations in the Geometry of Thinking.’ Volumes 1 and 2. In collaboration with E. J. Applewhite.
| No | Fib | Time | Descriptions | Buddhist | Dim | Trin | Hindu |
| 1 | 0 | 0 | Source Energy Light (SE) | External | 7 D | Spirit | Zero |
| 2 | 1 | 1 bn | + SE + Sound Frequencies | + Formless | 6 D | Mind | + Tantra |
| 3 | 1 | 2 bn | + Stellated Geometry | + Form | 5 D | Mind | + Mantra |
| 4 | 2 | 3 bn | + Stellated Geometry | + Form | 5 D | Mind | + Mantra |
| 5 | 3 | 5 bn | + Stellated Geometry | + Form | 5 D | Mind | + Mantra |
| 6 | 5 | 8 bn | + Matter Platonic Solids
Triangular Geometry |
+ Desire | 4 D | Body | + Yantra |
| 7 | 8 | 13 B | Transition to Contraction | Maitreya | 3 D | Body | Kali Yuga |
| 8 | -5 | 8 bn | -. Matter Convex Hollows
Triangular Geometry |
-. Desire | 4 D | Body | -. Yantra |
| 9 | -3 | 5 bn | -. Stellated Geometry | -. Form | 5 D | Mind | -. Mantra |
| 10 | -2 | 3 bn | -. Stellated Geometry | -. Form | 5 D | Mind | -. Mantra |
| 11 | -1 | 2 bn | -. Stellated Geometry | -. Form | 5 D | Mind | -. Mantra |
| 12 | -1 | 1 bn | -. SE + Sound Frequencies | – Formless | 6 D | Mind | -. Tantra |
| 13 | 0 | 0 | Source Energy Light (SE) | External | 7 D | Spirit | Zero |
Source: In addition to the above textbooks please refer to ‘A Fuller Explanation. The Synergetic Geometry of R. Buckminster Fuller.’ By Amy C. Edmondson.


