The platonic solids |
The platonic solids have certain unique characteristics.
| 1 | All their faces are the same size |
| 2 | The edges are the same length |
| 3 | The angles between faces are equal |
| 4 | All the edges will touch the surface of the sphere |
The platonic solids are very important because they are the 5 first basic 3 dimensional bodies that can exist.
Their simplicity gives benefits that more complex bodies couldn´t have.
I personally love to build them and enjoy them visually and "feel" their qualities.
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The tetrahedron has 4 triangular faces. It represents the element Fire. It is the most simple 3d configuration in the universe. It is very strong, that´s why the diamond´s internal structure is tetrahedral. | Fire |
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The hexahedron or cube has 6 square faces. It represents element Earth. . Architects love making houses based in this kind of solid. | Earth |
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The octahedron has 8 triangular faces. Represents the element Air. It is very strong. My favourite solid. |
Air |
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The icosahedron represents element Water The last "strong" solid. |
Water |
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The dodecahedron represents the Vital Energy or Chi. It is the most complex, sacred and unstabe solid of the group. | Vital Energy |
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Duals and gender |
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The Star Tetrahedron shows how the tetrahedron is dual to itself. The male points up and the female points down.
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The cube and the octahedron are duals. Octa is male and cube would be female.In other cases the cube is the male. | ![]() |
Shown left is the deltoidal icositertahedron. Gathering both |
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The icosahedron and the dodecahedron are a very classy couple.He (icosa) gives her(dodeca) his strengh, and she lends him her divinity. | ![]() |
Shown left is the deitoidal hexecontahedron gathering both at once. |
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A very uncommon couple. There is a friendship more than duality among the cuboctahedron and the star tetrahedron. I never seen before I built it. The official dual with the cubocta should be the rhombic dodecahedron(shown right). |
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The official dual with the cubocta is the rhombic dodecahedron (shown left). This solid has the square root of 2 everywhere. |
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The cuboctahedron is an archimedean solid . It is somewhere in between a cube and an octahedron. Bucky Fuller said the 5 platonic solids are implicit in this body. This solid reproduces the exact geometrical pattern of the original 8 cells of every multi-cellular living creature. This is also shown by the star tetrahedron. | ![]() |
Shown left are the cuboctahedron and the rhombic dodecahedron toether. A complex couple filled with information. |
Obtaining the Metatron´s cube
1-The fruit of life |
Joining all it´s centers |
We obtain the Metatron´s cube |
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All 5 platonic solids can be drawn in the Metatron´s cube
Tetrahedron |
StarTetrahedron |
Cube or hexahedron |
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Octahedron |
Icosahedron |
Dodecahedron |
| Later, Archimedes classified 13 other solids. | |
| 1 | They all have 2 or more regular polygons. |
| 2 | All their edges are the same length. |