Archimedean solid

1. A polyhedron whose faces are regular polygons and whose angles are all congruent. The faces may all be of the same type, in which case the solid is a regular polyhedron, or may be of different types. There are only thirteen Archimedean solids.

2. See more under polyhedron

Example Sentences

Dual shapes form if the vertices are replaced by faces, and vice versa; the dual of a cube is an octahedron. b, A snub cube is an Archimedean solid — a polyhedron that has identical vertices but different types of edge and face.

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But Archimedes’ original list only had 13, and mathematicians have for the most part agreed with his list and use a definition of Archimedean solid that includes only those 13.

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It is a relative of the rhombicuboctahedron, which is an Archimedean solid that also has 24 vertices with three squares and one equilateral triangle around each vertex.

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The rhombicuboctahedron is an Archimedean solid, and ψρ is not.

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Just when you think you can give a short, simple explanation of what an Archimedean solid is, you have to launch into an description of a technical condition that is only necessary because of this one example!

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