Table 1.
The five platonic solids. Their shapes and features are reported, as well as their duality and symbolic meanings.
Name | Cube | Octahedron | Tetrahedron | Icosahedron | Dodecahedron |
---|---|---|---|---|---|
Shape |
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Features | 6 faces 8 vertices 12 edges |
8 faces 6 vertices 12 edges |
4 faces 4 vertices 6 edges |
20 faces 12 vertices 30 edges |
12 faces 20 vertices 30 edges |
Facets | Squares | Equilateral triangles | Equilateral triangles | Equilateral triangles | Pentagons |
Duality | Dual![]() ![]() |
Self-dual![]() |
Dual![]() ![]() |
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Symbol | Earth | Air | Fire | Water | Universe/Heaven |