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Platonic Solid Dual Explorer
Polyhedron
Select solid:
Tetrahedron — dual: Tetrahedron
Cube — dual: Octahedron
Octahedron — dual: Cube
Dodecahedron — dual: Icosahedron
Icosahedron — dual: Dodecahedron
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Show dual
V - E + F = 2
(Euler's polyhedron formula)
The dual of a polyhedron is formed by placing a vertex at each face's center, then connecting vertices of adjacent faces. Each Platonic solid is dual to another — except the tetrahedron, which is self-dual. Duality swaps V↔F while E stays constant.