Quasi-Regular Polyhedra
The quasi-regular polyhedron denoted
by (m, n, m, n) has four faces meeting at each vertex, m-sided
and n-sided alternately. These reflect recent naming improvements
by Norman Johnson, replacing some of the names in Wenninger's Polyhedron
Models.
-
octahedron (3, 3, 3, 3)
-
cuboctahedron (3, 4, 3, 4)
-
icosidodecahedron (3, 5, 3, 5)
-
great icosidodecahedron
(3, 5/2, 3, 5/2)
-
dodecadodecahedron (5, 5/2, 5,
5/2) (previously called great dodecadodecahedron)
-
small triambic icosidodecahedron
(5/2, 3, 5/2, 3, 5/2, 3) (or small ditrigonal icosidodecahedron)
-
triambic dodecadodecahedron
(5/3, 5, 5/3, 5, 5/3, 5) (or ditrigonal dodecadodecahedron)
-
great triambic icosidodecahedron
(3, 5, 3, 5, 3, 5) (or great ditrigonal icosidodecahedron)
-
tetrahemihexahedron (3, 4, 3,
4)
-
octahemioctahedron (3, 6, 3,
6)
-
cubohemioctahedron (4, 6, 4,
6)
-
small icosihemidodecahedron
(3, 10, 3, 10)
-
small dodecahemidodecahedron
(5, 10, 5, 10)
-
great dodecahemiicosahedron
(5/2, 6, 5/2, 6) (or small dodecahemicosahedron)
-
small dodecahemiicosahedron
(5, 6, 5, 6) (or great dodecahemicosahedron)
-
great dodecahemidodecahedron
(5/2, 10/3, 5/2, 10/3)
-
great icosihemidodecahedron
(3, 10/3, 3, 10/3)