List of uniform polyhedra by Wythoff symbol

List of uniform polyhedra by Wythoff symbol

There are many relations among the uniform polyhedron.

Here they are grouped by the Wythoff symbol.

Key

Quasi-regular

Each edge is identical and each vertex is identical. There are two types of faceswhich appear in an alternating fashion around each vertex.The first row are "semi-regular" with 4 faces around each vertex. They have Wythoff symbol 2|p q.The second row are "ditrigonal" with 6 faces around each vertex. They have Wythoff symbol 3|p q or 3/2|p q.

Rhombic quasi-regular

Four faces around the vertex in the pattern p.q.r.q. The name rhombic stems from insertinga square in the cubeoctohedron and icodocehedron. The Wythoff symbol is of the form p q|r.

nub polyhedra

These have Wythoff symbol |p q r, and one "non-Wythoffian" construction is given |p q r s.

Wythoff |p q r

Wythoff |p q r s


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