Archimedean Duals
These entries are arranged into groups of three lines consisting of:
An
Archimedean
semiregular polyhedron.
Its
dual
; a picture of the face of the dual.
The
compound
of the polyhedron and its dual.
The middle line gives the Archimedean dual (also called a
Catalan polyhedron
).
Tetrahedral Symmetry Group
truncated tetrahedron
triakistetrahedron
(
face
)
compound of truncated tetrahedron and dual
Cuboctahedral Symmetry Group
cuboctahedron
rhombic dodecahedron
(
face
)
compound of cuboctahedron and dual
truncated octahedron
tetrakishexahedron
(
face
)
compound of truncated octahedron and dual
truncated cube
triakisoctahedron
(
face
)
compound of truncated cube and dual
rhombicuboctahedron
trapezoidal icositetrahedron
(
face
)
compound of rhombicuboctahedron and dual
truncated cuboctahedron
disdyakisdodecahedron
(
face
)
compound of truncated cuboctahedron and dual
snub cuboctahedron
pentagonal icositetrahedron
(
face
)
compound of snub cuboctahedron and dual
Icosidodecahedral Symmetry Group
icosidodecahedron
rhombic triacontahedron
(
face
)
compound of icosidodecahedron and dual
truncated icosahedron
pentakisdodecahedron
(
face
)
compound of truncated icosahedron and dual
truncated dodecahedron
triakisicosahedron
(
face
)
compound of truncated dodecahedron and dual
rhombicosidodecahedron
trapezoidal hexecontahedron
(
face
)
compound of rhombicosidodecahedron and dual
truncated icosidodecahedron
disdyakistriacontahedron
(
face
)
compound of truncated icosidodecahedron and dual
snub icosidodecahedron
pentagonal hexecontahedron
(
face
)
compound of snub icosidodecahedron and dual
Virtual Polyhedra
,
(c) 1996, George W. Hart