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57-cell

Cubic cupola

Cubic pyramid

Cubical bipyramid

Cuboctahedral prism

Cuboctahedral pyramid

Dodecahedral bipyramid

Dodecahedral cupola

Dodecahedral pyramid

Grand 120-cell

Grand 600-cell

Grand stellated 120-cell

Great 120-cell

Great duoantiprism

Great grand 120-cell

Great icosahedral 120-cell

Great stellated 120-cell

Icosahedral 120-cell

Icosahedral bipyramid

Icosahedral prism

Icosahedral pyramid

Icosidodecahedral prism

Octahedral cupola

Octahedral pyramid

Polytetrahedron

Rhombicosidodecahedral prism

Small stellated 120-cell

Snub cubic prism

Snub dodecahedral prism

Stellated rhombic dodecahedral honeycomb

Tetrahedral bipyramid

Tetrahedral cupola

Triakis truncated tetrahedral honeycomb

Trigonal trapezohedral honeycomb

Truncated cubic prism

Truncated dodecahedral prism

Truncated icosahedral prism

Truncated icosidodecahedral prism

Truncated octahedral prism

Truncated tetrahedral prism

Polyhedron stubs

Apeirogonal antiprism

Apeirogonal prism

Augmented dodecahedron

Augmented hexagonal prism

Augmented pentagonal prism

Augmented sphenocorona

Augmented triangular prism

Augmented tridiminished icosahedron

Augmented truncated cube

Augmented truncated dodecahedron

Augmented truncated tetrahedron

Biaugmented pentagonal prism

Biaugmented triangular prism

Biaugmented truncated cube

Bifrustum

Bigyrate diminished rhombicosidodecahedron

Cantellation (geometry)

Compound of cube and octahedron

Compound of eight octahedra with rotational freedom

Compound of eight triangular prisms

Compound of five cubes

Compound of five cuboctahedra

Compound of five cubohemioctahedra

Compound of five great cubicuboctahedra

Compound of five great dodecahedra

Compound of five great icosahedra

Compound of five great rhombihexahedra

Compound of five icosahedra

Compound of five nonconvex great rhombicuboctahedra

Compound of five octahedra

Compound of five octahemioctahedra

Compound of five rhombicuboctahedra

Compound of five small cubicuboctahedra

Compound of five small rhombihexahedra

Compound of five small stellated dodecahedra

Compound of five stellated truncated hexahedra

Compound of five tetrahemihexahedra

Compound of five truncated cubes

Compound of five truncated tetrahedra

Compound of four cubes

Compound of four hexagonal prisms

Compound of four octahedra

Compound of four octahedra with rotational freedom

Compound of four triangular prisms

Compound of great icosahedron and great stellated dodecahedron

Compound of six cubes

Compound of six cubes with rotational freedom

Compound of six decagonal prisms

Compound of six decagrammic prisms

Compound of six octahedra

Compound of six pentagonal prisms

Compound of six pentagrammic prisms

Compound of six tetrahedra

Compound of six tetrahedra with rotational freedom

Compound of small stellated dodecahedron and great dodecahedron

Compound of ten hexagonal prisms

Compound of ten octahedra

Compound of ten tetrahedra

 Ancestors (4)

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