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regular polyhedron::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Synonyms | ideal solid, platonic body, platonic solid, regular convex polyhedron, regular convex solid |
| Type of | polyhedron |
| Has types | regular dodecahedron, cube, regular icosahedron, regular octahedron, regular tetrahedron, regular hexahedron |
Examples of regular polyhedron
regular polyhedron
The following polyhedra are combinatorially equivalent to the regular polyhedron.
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However, a disphenoid is not a regular polyhedron, because its faces are not regular polygons.
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One is a regular Kepler-Poinsot polyhedron.
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The dual of a regular polyhedron is also regular.
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The word irregular is also used to clarify that a polyhedron is not regular, although still assumed to have the same topology as the regular form.
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There exists no polyhedron whose faces are all identical and are regular polygons with six or more sides because the vertex of three regular hexagons defines a plane.
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