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159 relations: Archimedean solid, Compound of cube and octahedron, Compound of dodecahedron and icosahedron, Compound of five octahedra, Compound of five tetrahedra, Compound of great icosahedron and great stellated dodecahedron, Compound of ten tetrahedra, Cubitruncated cuboctahedron, Cuboctahedron, Cubohemioctahedron, Deltoidal hexecontahedron, Deltoidal icositetrahedron, Disdyakis dodecahedron, Disdyakis triacontahedron, Ditrigonal dodecadodecahedron, Dodecadodecahedron, Dodecahedron, Excavated dodecahedron, Final stellation of the icosahedron, Great cubicuboctahedron, Great deltoidal hexecontahedron, Great deltoidal icositetrahedron, Great dirhombicosidodecacron, Great dirhombicosidodecahedron, Great disdyakis dodecahedron, Great disdyakis triacontahedron, Great ditrigonal dodecacronic hexecontahedron, Great ditrigonal dodecicosidodecahedron, Great ditrigonal icosidodecahedron, Great dodecacronic hexecontahedron, Great dodecahedron, Great dodecahemicosahedron, Great dodecahemidodecacron, Great dodecahemidodecahedron, Great dodecicosacron, Great dodecicosahedron, Great dodecicosidodecahedron, Great hexacronic icositetrahedron, Great hexagonal hexecontahedron, Great icosacronic hexecontahedron, Great icosahedron, Great icosicosidodecahedron, Great icosidodecahedron, Great icosihemidodecacron, Great icosihemidodecahedron, Great inverted pentagonal hexecontahedron, Great inverted snub icosidodecahedron, Great pentagonal hexecontahedron, Great pentagrammic hexecontahedron, Great pentakis dodecahedron, ..., Great retrosnub icosidodecahedron, Great rhombic triacontahedron, Great rhombidodecacron, Great rhombidodecahedron, Great rhombihexacron, Great rhombihexahedron, Great snub dodecicosidodecahedron, Great snub icosidodecahedron, Great stellapentakis dodecahedron, Great stellated dodecahedron, Great stellated truncated dodecahedron, Great triakis icosahedron, Great triakis octahedron, Great triambic icosahedron, Great truncated cuboctahedron, Great truncated icosidodecahedron, Hexahedron, Icosahedron, Icosidodecadodecahedron, Icosidodecahedron, Icositruncated dodecadodecahedron, Inverted snub dodecadodecahedron, Kepler–Poinsot polyhedron, List of uniform polyhedra, Magnus Wenninger, Medial deltoidal hexecontahedron, Medial disdyakis triacontahedron, Medial hexagonal hexecontahedron, Medial icosacronic hexecontahedron, Medial inverted pentagonal hexecontahedron, Medial pentagonal hexecontahedron, Medial rhombic triacontahedron, Nonconvex great rhombicosidodecahedron, Nonconvex great rhombicuboctahedron, Octahedron, Octahemioctahedron, Pentagonal hexecontahedron, Pentagonal icositetrahedron, Pentakis dodecahedron, Platonic solid, Rhombic dodecahedron, Rhombic triacontahedron, Rhombicosacron, Rhombicosahedron, Rhombicosidodecahedron, Rhombicuboctahedron, Rhombidodecadodecahedron, Schläfli symbol, Small cubicuboctahedron, Small ditrigonal dodecacronic hexecontahedron, Small ditrigonal dodecicosidodecahedron, Small ditrigonal icosidodecahedron, Small dodecacronic hexecontahedron, Small dodecahemicosacron, Small dodecahemicosahedron, Small dodecahemidodecacron, Small dodecahemidodecahedron, Small dodecicosacron, Small dodecicosahedron, Small dodecicosidodecahedron, Small hexacronic icositetrahedron, Small hexagonal hexecontahedron, Small hexagrammic hexecontahedron, Small icosacronic hexecontahedron, Small icosicosidodecahedron, Small icosihemidodecacron, Small icosihemidodecahedron, Small retrosnub icosicosidodecahedron, Small rhombidodecacron, Small rhombidodecahedron, Small rhombihexacron, Small rhombihexahedron, Small snub icosicosidodecahedron, Small stellapentakis dodecahedron, Small stellated dodecahedron, Small stellated truncated dodecahedron, Small triambic icosahedron, Snub cube, Snub dodecadodecahedron, Snub dodecahedron, Snub icosidodecadodecahedron, Star polyhedron, Stella (software), Stellated octahedron, Stellated truncated hexahedron, Stellation, Tetradyakis hexahedron, Tetrahedron, Tetrahemihexahedron, Tetrakis hexahedron, The Fifty-Nine Icosahedra, Triakis icosahedron, Triakis octahedron, Triakis tetrahedron, Tridyakis icosahedron, Truncated cube, Truncated cuboctahedron, Truncated dodecadodecahedron, Truncated dodecahedron, Truncated great dodecahedron, Truncated great icosahedron, Truncated icosahedron, Truncated icosidodecahedron, Truncated octahedron, Truncated tetrahedron, Uniform polyhedron, Vertex configuration, Vertex figure, Wythoff symbol. Expand index (109 more) »
Archimedean solid
In geometry, an Archimedean solid is one of the 13 solids first enumerated by Archimedes.
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Compound of cube and octahedron
This polyhedron can be seen as either a polyhedral stellation or a compound.
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Compound of dodecahedron and icosahedron
In geometry, this polyhedron can be seen as either a polyhedral stellation or a compound.
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Compound of five octahedra
The compound of five octahedra is one of the five regular polyhedron compounds.
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Compound of five tetrahedra
The compound of five tetrahedra is one of the five regular polyhedral compounds.
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Compound of great icosahedron and great stellated dodecahedron
This polyhedron can be seen as either a polyhedral stellation or a compound.
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Compound of ten tetrahedra
The compound of ten tetrahedra is one of the five regular polyhedral compounds.
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Cubitruncated cuboctahedron
In geometry, the cubitruncated cuboctahedron or cuboctatruncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U16.
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Cuboctahedron
In geometry, a cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.
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Cubohemioctahedron
In geometry, the cubohemioctahedron is a nonconvex uniform polyhedron, indexed as U15.
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Deltoidal hexecontahedron
In geometry, a deltoidal hexecontahedron (also sometimes called a trapezoidal hexecontahedron, a strombic hexecontahedron, or a tetragonal hexacontahedron) is a Catalan solid which is the dual polyhedron of the rhombicosidodecahedron, an Archimedean solid.
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Deltoidal icositetrahedron
In geometry, a deltoidal icositetrahedron (also a trapezoidal icositetrahedron, tetragonal icosikaitetrahedron,, tetragonal trisoctahedron and strombic icositetrahedron) is a Catalan solid.
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Disdyakis dodecahedron
In geometry, a disdyakis dodecahedron, (also hexoctahedron, hexakis octahedron, octakis cube, octakis hexahedron, kisrhombic dodecahedron), is a Catalan solid with 48 faces and the dual to the Archimedean truncated cuboctahedron.
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Disdyakis triacontahedron
In geometry, a disdyakis triacontahedron, hexakis icosahedron, decakis dodecahedron or kisrhombic triacontahedron is a Catalan solid with 120 faces and the dual to the Archimedean truncated icosidodecahedron.
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Ditrigonal dodecadodecahedron
In geometry, the ditrigonal dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U41.
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Dodecadodecahedron
In geometry, the dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U36.
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Dodecahedron
In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.
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Excavated dodecahedron
In geometry, the excavated dodecahedron is a star polyhedron having 60 equilateral triangular faces.
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Final stellation of the icosahedron
In geometry, the complete or final stellation of the icosahedron is the outermost stellation of the icosahedron, and is "complete" and "final" because it includes all of the cells in the icosahedron's stellation diagram.
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Great cubicuboctahedron
In geometry, the great cubicuboctahedron is a nonconvex uniform polyhedron, indexed as U14.
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Great deltoidal hexecontahedron
In geometry, the great deltoidal hexecontahedron is a nonconvex isohedral polyhedron.
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Great deltoidal icositetrahedron
In geometry, the great deltoidal icositetrahedron is the dual of the nonconvex great rhombicuboctahedron.
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Great dirhombicosidodecacron
In geometry, the great dirhombicosidodecacron is a nonconvex isohedral polyhedron.
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Great dirhombicosidodecahedron
In geometry, the great dirhombicosidodecahedron is a nonconvex uniform polyhedron, indexed last as U75.
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Great disdyakis dodecahedron
In geometry, the great disdyakis dodecahedron is a nonconvex isohedral polyhedron.
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Great disdyakis triacontahedron
In geometry, the great disdyakis triacontahedron is a nonconvex isohedral polyhedron.
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Great ditrigonal dodecacronic hexecontahedron
In geometry, the great ditrigonal dodecacronic hexecontahedron is a nonconvex isohedral polyhedron.
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Great ditrigonal dodecicosidodecahedron
In geometry, the great ditrigonal dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U42.
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Great ditrigonal icosidodecahedron
In geometry, the great ditrigonal icosidodecahedron is a nonconvex uniform polyhedron, indexed as U47.
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Great dodecacronic hexecontahedron
In geometry, the great dodecacronic hexecontahedron is a nonconvex isohedral polyhedron.
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Great dodecahedron
In geometry, the great dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol and Coxeter–Dynkin diagram of.
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Great dodecahemicosahedron
In geometry, the great dodecahemicosahedron is a nonconvex uniform polyhedron, indexed as U65.
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Great dodecahemidodecacron
In geometry, the great dodecahemidodecacron is the dual of the great dodecahemidodecahedron, and is one of nine dual hemipolyhedra.
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Great dodecahemidodecahedron
In geometry, the great dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as U70.
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Great dodecicosacron
In geometry, the great dodecicosacron is the dual of the great dodecicosahedron (U50).
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Great dodecicosahedron
In geometry, the great dodecicosahedron is a nonconvex uniform polyhedron, indexed as U63.
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Great dodecicosidodecahedron
In geometry, the great dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U61.
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Great hexacronic icositetrahedron
In geometry, the great hexacronic icositetrahedron is the dual of the great cubicuboctahedron.
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Great hexagonal hexecontahedron
In geometry, the great hexagonal hexecontahedron is a nonconvex isohedral polyhedron.
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Great icosacronic hexecontahedron
In geometry, the great icosacronic hexecontahedron is the dual of the great icosicosidodecahedron.
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Great icosahedron
In geometry, the great icosahedron is one of four Kepler-Poinsot polyhedra (nonconvex regular polyhedra), with Schläfli symbol and Coxeter-Dynkin diagram of.
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Great icosicosidodecahedron
In geometry, the great icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U48.
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Great icosidodecahedron
In geometry, the great icosidodecahedron is a nonconvex uniform polyhedron, indexed as U54.
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Great icosihemidodecacron
In geometry, the great icosihemidodecacron is the dual of the great icosihemidodecahedron, and is one of nine dual hemipolyhedra.
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Great icosihemidodecahedron
In geometry, the great icosihemidodecahedron is a nonconvex uniform polyhedron, indexed as U71.
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Great inverted pentagonal hexecontahedron
In geometry, the great inverted pentagonal hexecontahedron is a nonconvex isohedral polyhedron.
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Great inverted snub icosidodecahedron
In geometry, the great inverted snub icosidodecahedron is a uniform star polyhedron, indexed as U69.
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Great pentagonal hexecontahedron
In geometry, the great pentagonal hexecontahedron is a nonconvex isohedral polyhedron.
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Great pentagrammic hexecontahedron
In geometry, the great pentagrammic hexecontahedron is a nonconvex isohedral polyhedron.
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Great pentakis dodecahedron
In geometry, the great pentakis dodecahedron is a nonconvex isohedral polyhedron.
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Great retrosnub icosidodecahedron
In geometry, the great retrosnub icosidodecahedron or great inverted retrosnub icosidodecahedron is a nonconvex uniform polyhedron, indexed as U74.
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Great rhombic triacontahedron
In geometry, the great rhombic triacontahedron is a nonconvex isohedral, isotoxal polyhedron.
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Great rhombidodecacron
In geometry, the great rhombidodecacron is a nonconvex isohedral polyhedron.
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Great rhombidodecahedron
In geometry, the great rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U73.
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Great rhombihexacron
In geometry, the great rhombihexacron is a nonconvex isohedral polyhedron.
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Great rhombihexahedron
In geometry, the great rhombihexahedron is a nonconvex uniform polyhedron, indexed as U21.
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Great snub dodecicosidodecahedron
In geometry, the great snub dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U64.
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Great snub icosidodecahedron
In geometry, the great snub icosidodecahedron is a nonconvex uniform polyhedron, indexed as U57.
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Great stellapentakis dodecahedron
In geometry, the great stellapentakis dodecahedron is a nonconvex isohedral polyhedron.
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Great stellated dodecahedron
In geometry, the great stellated dodecahedron is a Kepler-Poinsot polyhedron, with Schläfli symbol.
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Great stellated truncated dodecahedron
In geometry, the great stellated truncated dodecahedron or quasitruncated great stellated dodecahedron is a nonconvex uniform polyhedron, indexed as U66.
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Great triakis icosahedron
In geometry, the great triakis icosahedron is a nonconvex isohedral polyhedron.
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Great triakis octahedron
In geometry, the great triakis octahedron is the dual of the stellated truncated hexahedron (U19).
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Great triambic icosahedron
In geometry, the great triambic icosahedron and medial triambic icosahedron are visually identical dual uniform polyhedra.
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Great truncated cuboctahedron
In geometry, the great truncated cuboctahedron (or quasitruncated cuboctahedron) is a nonconvex uniform polyhedron, indexed as U20.
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Great truncated icosidodecahedron
In geometry, the great truncated icosidodecahedron or great quasitruncated icosidodecahedron is a nonconvex uniform polyhedron, indexed as U68.
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Hexahedron
A hexahedron (plural: hexahedra) is any polyhedron with six faces.
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Icosahedron
In geometry, an icosahedron is a polyhedron with 20 faces.
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Icosidodecadodecahedron
In geometry, the icosidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U44.
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Icosidodecahedron
In geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces.
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Icositruncated dodecadodecahedron
In geometry, the icositruncated dodecadodecahedron or icosidodecatruncated icosidodecahedron is a nonconvex uniform polyhedron, indexed as U45.
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Inverted snub dodecadodecahedron
In geometry, the inverted snub dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U60.
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Kepler–Poinsot polyhedron
In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.
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List of uniform polyhedra
In geometry, a uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).
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Magnus Wenninger
Father Magnus J. Wenninger OSB (October 31, 1919Banchoff (2002)– February 17, 2017) was an American mathematician who worked on constructing polyhedron models, and wrote the first book on their construction.
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Medial deltoidal hexecontahedron
In geometry, the medial deltoidal hexecontahedron is a nonconvex isohedral polyhedron.
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Medial disdyakis triacontahedron
In geometry, the medial disdyakis triacontahedron is a nonconvex isohedral polyhedron.
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Medial hexagonal hexecontahedron
In geometry, the medial hexagonal hexecontahedron is a nonconvex isohedral polyhedron.
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Medial icosacronic hexecontahedron
In geometry, the medial icosacronic hexecontahedron is a nonconvex isohedral polyhedron.
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Medial inverted pentagonal hexecontahedron
In geometry, the medial inverted pentagonal hexecontahedron is a nonconvex isohedral polyhedron.
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Medial pentagonal hexecontahedron
In geometry, the medial pentagonal hexecontahedron is a nonconvex isohedral polyhedron.
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Medial rhombic triacontahedron
In geometry, the medial rhombic triacontahedron is a nonconvex isohedral polyhedron.
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Nonconvex great rhombicosidodecahedron
In geometry, the nonconvex great rhombicosidodecahedron is a nonconvex uniform polyhedron, indexed as U67.
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Nonconvex great rhombicuboctahedron
In geometry, the nonconvex great rhombicuboctahedron is a nonconvex uniform polyhedron, indexed as U17.
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Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
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Octahemioctahedron
In geometry, the octahemioctahedron or allelotetratetrahedron is a nonconvex uniform polyhedron, indexed as U3.
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Pentagonal hexecontahedron
In geometry, a pentagonal hexecontahedron is a Catalan solid, dual of the snub dodecahedron.
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Pentagonal icositetrahedron
In geometry, a pentagonal icositetrahedron or pentagonal icosikaitetrahedron is a Catalan solid which is the dual of the snub cube.
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Pentakis dodecahedron
In geometry, a pentakis dodecahedron or kisdodecahedron is a dodecahedron with a pentagonal pyramid covering each face; that is, it is the Kleetope of the dodecahedron.
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Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
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Rhombic dodecahedron
In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces.
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Rhombic triacontahedron
In geometry, the rhombic triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces.
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Rhombicosacron
In geometry, the rhombicosacron is a nonconvex isohedral polyhedron.
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Rhombicosahedron
In geometry, the rhombicosahedron is a nonconvex uniform polyhedron, indexed as U56.
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Rhombicosidodecahedron
In geometry, the rhombicosidodecahedron, or small rhombicosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces.
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Rhombicuboctahedron
In geometry, the rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces.
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Rhombidodecadodecahedron
In geometry, the rhombidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U38.
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Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
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Small cubicuboctahedron
In geometry, the small cubicuboctahedron is a uniform star polyhedron, indexed as U13.
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Small ditrigonal dodecacronic hexecontahedron
In geometry, the small ditrigonal dodecacronic hexecontahedron is a nonconvex isohedral polyhedron.
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Small ditrigonal dodecicosidodecahedron
In geometry, the small ditrigonal dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U43.
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Small ditrigonal icosidodecahedron
In geometry, the small ditrigonal icosidodecahedron is a nonconvex uniform polyhedron, indexed as U30.
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Small dodecacronic hexecontahedron
In geometry, the small dodecacronic hexecontahedron is the dual of the small dodecicosidodecahedron.
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Small dodecahemicosacron
In geometry, the small dodecahemicosacron is the dual of the small dodecahemicosahedron, and is one of nine dual hemipolyhedra.
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Small dodecahemicosahedron
In geometry, the small dodecahemicosahedron is a nonconvex uniform polyhedron, indexed as U62.
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Small dodecahemidodecacron
In geometry, the small dodecahemidodecacron is the dual of the small dodecahemidodecahedron, and is one of nine dual hemipolyhedra.
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Small dodecahemidodecahedron
In geometry, the small dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as U51.
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Small dodecicosacron
In geometry, the small dodecicosacron is the dual of the small dodecicosahedron (U50).
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Small dodecicosahedron
In geometry, the small dodecicosahedron is a nonconvex uniform polyhedron, indexed as U50.
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Small dodecicosidodecahedron
In geometry, the small dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U33.
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Small hexacronic icositetrahedron
In geometry, the small hexacronic icositetrahedron is the dual of the small cubicuboctahedron.
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Small hexagonal hexecontahedron
In geometry, the small hexagonal hexecontahedron is a nonconvex isohedral polyhedron.
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Small hexagrammic hexecontahedron
In geometry, the small hexagrammic hexecontahedron is a nonconvex isohedral polyhedron.
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Small icosacronic hexecontahedron
In geometry, the small icosacronic hexecontahedron is a nonconvex isohedral polyhedron.
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Small icosicosidodecahedron
In geometry, the small icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U31.
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Small icosihemidodecacron
In geometry, the small icosihemidodecacron is the dual of the small icosihemidodecahedron, and is one of nine dual hemipolyhedra.
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Small icosihemidodecahedron
In geometry, the small icosihemidodecahedron is a uniform star polyhedron, indexed as U49.
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Small retrosnub icosicosidodecahedron
In geometry, the small retrosnub icosicosidodecahedron or small inverted retrosnub icosicosidodecahedron is a nonconvex uniform polyhedron, indexed as U72.
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Small rhombidodecacron
In geometry, the small rhombidodecacron is a nonconvex isohedral polyhedron.
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Small rhombidodecahedron
In geometry, the small rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U39.
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Small rhombihexacron
In geometry, the small rhombihexacron is the dual of the small rhombihexahedron.
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Small rhombihexahedron
In geometry, the small rhombihexahedron is a nonconvex uniform polyhedron, indexed as U18.
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Small snub icosicosidodecahedron
In geometry, the small snub icosicosidodecahedron or snub disicosidodecahedron is a uniform star polyhedron, indexed as U32.
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Small stellapentakis dodecahedron
In geometry, the small stellapentakis dodecahedron is a nonconvex isohedral polyhedron.
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Small stellated dodecahedron
In geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol.
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Small stellated truncated dodecahedron
In geometry, the small stellated truncated dodecahedron or quasitruncated small stellated dodecahedron is a nonconvex uniform polyhedron, indexed as U58.
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Small triambic icosahedron
In geometry, the small triambic icosahedron is the dual to the uniform small ditrigonal icosidodecahedron.
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Snub cube
In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles.
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Snub dodecadodecahedron
In geometry, the snub dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U40.
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Snub dodecahedron
In geometry, the snub dodecahedron, or snub icosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed by two or more types of regular polygon faces.
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Snub icosidodecadodecahedron
In geometry, the snub icosidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U46.
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Star polyhedron
In geometry, a star polyhedron is a polyhedron which has some repetitive quality of nonconvexity giving it a star-like visual quality.
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Stella (software)
Stella, a computer program available in three versions (Great Stella, Small Stella and Stella4D), was created by Robert Webb of Australia.
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Stellated octahedron
The stellated octahedron is the only stellation of the octahedron.
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Stellated truncated hexahedron
In geometry, the stellated truncated hexahedron (or quasitruncated hexahedron) is a uniform star polyhedron, indexed as U19.
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Stellation
In geometry, stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure.
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Tetradyakis hexahedron
In geometry, the tetradyakis hexahedron is a nonconvex isohedral polyhedron.
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Tetrahedron
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.
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Tetrahemihexahedron
In geometry, the tetrahemihexahedron or hemicuboctahedron is a uniform star polyhedron, indexed as U4.
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Tetrakis hexahedron
In geometry, a tetrakis hexahedron (also known as a tetrahexahedron, hextetrahedron, tetrakis cube, and kiscube) is a Catalan solid.
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The Fifty-Nine Icosahedra
The Fifty-Nine Icosahedra is a book written and illustrated by H. S. M. Coxeter, P. Du Val, H. T. Flather and J. F. Petrie.
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Triakis icosahedron
In geometry, the triakis icosahedron (or kisicosahedron) is an Archimedean dual solid, or a Catalan solid.
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Triakis octahedron
In geometry, a triakis octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid.
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Triakis tetrahedron
In geometry, a triakis tetrahedron (or kistetrahedron) is an Archimedean dual solid, or a Catalan solid.
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Tridyakis icosahedron
In geometry, the tridyakis icosahedron is the dual polyhedron of the nonconvex uniform polyhedron, icositruncated dodecadodecahedron.
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Truncated cube
In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid.
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Truncated cuboctahedron
In geometry, the truncated cuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron.
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Truncated dodecadodecahedron
In geometry, the truncated dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U59.
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Truncated dodecahedron
In geometry, the truncated dodecahedron is an Archimedean solid.
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Truncated great dodecahedron
In geometry, the truncated great dodecahedron is a nonconvex uniform polyhedron, indexed as U37.
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Truncated great icosahedron
In geometry, the truncated great icosahedron is a nonconvex uniform polyhedron, indexed as U55.
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Truncated icosahedron
In geometry, the truncated icosahedron is an Archimedean solid, one of 13 convex isogonal nonprismatic solids whose faces are two or more types of regular polygons.
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Truncated icosidodecahedron
In geometry, the truncated icosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed by two or more types of regular polygon faces.
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Truncated octahedron
In geometry, the truncated octahedron is an Archimedean solid.
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Truncated tetrahedron
In geometry, the truncated tetrahedron is an Archimedean solid.
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Uniform polyhedron
A uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).
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Vertex configuration
In geometry, a vertex configuration by Walter Steurer, Sofia Deloudi, (2009) pp.
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Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
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Wythoff symbol
In geometry, the Wythoff symbol represents a Wythoff construction of a uniform polyhedron or plane tiling, from a Schwarz triangle.
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Icosidodecahedron stellation, Stellated cuboctahedron, Stellated icosidodecahedron, Stellations of cuboctahedron, Stellations of dodecahedron, Stellations of icosidodecahedron, Stellations of octahedron, Stellations of the dodecahedron.
References
[1] https://en.wikipedia.org/wiki/List_of_Wenninger_polyhedron_models
