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List of isotoxal polyhedra and tilings
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List of isotoxal polyhedra and tilings : ウィキペディア英語版
List of isotoxal polyhedra and tilings
In geometry, isotoxal polyhedra and tilings are edge-transitive. An isotoxal polyhedron or tiling must be either isogonal (vertex-transitive) or isohedral (face-transitive) or both. Regular polyhedra are isohedral (face-transitive), isogonal (vertex-transitive) and isotoxal. Quasiregular polyhedra are isogonal and isotoxal, but not isohedral; their duals are isohedral and isotoxal, but not isogonal.
== Convex isotoxal polyhedra ==

There are nine convex isotoxal polyhedra formed from the Platonic solids. The vertex figures of the quasiregular forms are rectangles, and the vertex figure of the duals of the quasiregular are rhombi.
3 | 2 3
|75px
Tetratetrahedron
(Octahedron)
2 | 3 3
|75px
Cube
(Rhombic hexahedron)
|- valign=top
|p=4
q=3
|75px
Cube
3 | 2 4
|75px
Octahedron
4 | 2 3
|75px
Cuboctahedron
2 | 3 4
|75px
Rhombic dodecahedron
|- valign=top
|p=5
q=3
|75px
Dodecahedron
3 | 2 5
|75px
Icosahedron
5 | 2 3
|75px
Icosidodecahedron
2 | 3 5
|75px
Rhombic triacontahedron
|}

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