Archimedean solid

With this restriction, there are only finitely many Archimedean solids.

The Archimedean solids and their duals can also be stellated.

These are the duals of the two quasi-regular Archimedean solids.

Archimedean solids - polyhedra with more than one polygon face type.

This is because the dual Archimedean solids are vertex-transitive and not face-transitive.

A further source of confusion lies in the way that the Archimedean solids are defined, again with different interpretations appearing.

The snub dodecahedron has the highest sphericity of all Archimedean solids.

Alternatively, truncating the vertexes will produce the Archimedean solids.

The Archimedean solids take their name from Archimedes, who discussed them in a now-lost work.

There are also two Archimedean solids with 60 edges: the snub cube and the icosidodecahedron.

There are 13 Archimedean solids, and a standard torus can be sliced into 13 pieces with just 3 plane cuts.

The five Platonic and 13 Archimedean solids.

They are the duals of the isogonal Archimedean solids, prisms and antiprisms, respectively.

There are 13 Archimedean solids (15 if the mirror images of two enantiomorphs, see below, are counted separately).

The study of regular polytopes, Archimedean solids, and kissing numbers is also a part of geometric combinatorics.

The truncated cube and the truncated octahedron are Archimedean solids with 36 edges.

The thirteen Archimedean solids.

Seventeen of the nonconvex uniform polyhedra are stellations of Archimedean solids.

They form two of the thirteen Archimedean solids, which are the convex uniform polyhedra with polyhedral symmetry.

If a set of all 13 Archimedean solids were constructed with all edge lengths equal, the truncated icosidodecahedron would be the largest.

Semiregular polyhedra like the Archimedean solids will have different stellation diagrams for different kinds of faces.

His descriptive operators can generate all the Archimedean solids and Catalan solids from regular seeds.

In addition to this infinite family of regular-faced zonohedra, there are three Archimedean solids, all omnitruncations of the regular forms:

In addition, certain Catalan solids (duals of Archimedean solids) are again zonohedra:

Relaxing the conditions for regularity generates a further 58 convex uniform polychora, analogous to the 13 semi-regular Archimedean solids in three dimensions.