THE FIVE PLATONIC SOLIDS
3 Structural Systems + 2 Movement Systems · Drag to rotate
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4 VERTICES
EULER'S FORMULA
F + V - E = 2
4 + 4 - 6 = 2
The "2" = spin axis (two polar ends)
VERTICES
4
EDGES
6
FACES
4
TYPE
STRUCTURE
TETRAHEDRON: Minimum system. Self-stabilizing. 4 triangular faces.
Structural: Tetrahedron, Octahedron, Icosahedron
Movement: Cube, Dodecahedron
© 2026 Synergetic HandbookInspired by R. Buckminster Fuller