Platonic Solid
A Platonic solid is a convex polyhedron whose faces are regular -gons, whose isometry group acts transitively on its faces, and whose face-centre stabilisers are dihedral groups.
Definition 10.1
A convex polyhedron is a Platonic solid if
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every face of is a regular -gon for some ,
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acts transitively on the faces.
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if is the midpoint of a face, then
Related
Stated in
- Definition 10.1§10 Platonic Solids