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Three-dimensional space Regular Regular polyhedron Platonic solid: Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron Regular spherical polyhedron Dihedron, Hosohedron Kepler–Poinsot polyhedron (Regular star polyhedra) Small stellated dodecahedron, Great stellated dodecahedron, Great icosahedron, Great dodecahedron Abstract regular polyhedra (Projective polyhedron) Hemicube (geometry), hemi-octahedron, hemi-dodecahedron, hemi-icosahedron Tetrahedron Disphenoid Pentahedron Square pyramid, Triangular prism Hexahedron Parallelepiped, Cuboid, Rhombohedron, Trigonal trapezohedron, Cube, Pentagonal pyramid, Triangular dipyramid, quadrilateral frustum Heptahedron hexagonal pyramid, pentagonal prism, tetrahemihexahedron Octahedron Hexagonal prism, Truncated tetrahedron, Tetragonal trapezohedron Enneahedron Octagonal pyramid, Heptagonal prism Decahedron Octagonal prism, Square antiprism, Square cupola, Pentagonal dipyramid, Augmented pentagonal prism Dodecahedron Pentagonal antiprism, Decagonal prism, Pentagonal cupola, Snub disphenoid, Elongated square dipyramid, Metabidiminished icosahedron, Hexagonal bipyramid, Hexagonal trapezohedron, Triakis tetrahedron, Rhombic dodecahedron, Hendecagonal pyramid, Trapezo-rhombic dodecahedron, Rhombo-hexagonal dodecahedron Archimedean solids Archimedean solid Truncated tetrahedron, Cuboctahedron, Truncated cube, Truncated octahedron, Rhombicuboctahedron, Truncated cuboctahedron, Snub cube, Icosidodecahedron, Truncated dodecahedron, Truncated icosahedron, Rhombicosidodecahedron, Truncated icosidodecahedron, Snub dodecahedron Prisms and antiprisms Prism Triangular prism, Pentagonal prism, Hexagonal prism, Heptagonal prism, Octagonal prism, Enneagonal prism, Decagonal prism, Hendecagonal prism, Dodecagonal prism Antiprism Square antiprism, Pentagonal antiprism, Hexagonal antiprism, Heptagonal antiprism, Octagonal antiprism, Enneagonal antiprism, Decagonal antiprism, Dodecagonal antiprism Catalan solids Catalan solid Triakis tetrahedron, Rhombic dodecahedron, Triakis octahedron, Tetrakis hexahedron, Deltoidal icositetrahedron, Disdyakis dodecahedron, Pentagonal icositetrahedron, Rhombic triacontahedron, Triakis icosahedron, Pentakis dodecahedron, Deltoidal hexecontahedron, Disdyakis triacontahedron, Pentagonal hexecontahedron Bipyramids and Trapezohedron Bipyramid Triangular dipyramid, Pentagonal dipyramid, Hexagonal bipyramid, Octagonal bipyramid, Decagonal bipyramid Trapezohedron Uniform star polyhedra Uniform star polyhedron Cubitruncated cuboctahedron Cubohemioctahedron Ditrigonal dodecadodecahedron Dodecadodecahedron Great cubicuboctahedron Great dirhombicosidodecahedron Great disnub dirhombidodecahedron Great ditrigonal dodecicosidodecahedron Great ditrigonal icosidodecahedron Great dodecahemicosahedron Great dodecahemidodecahedron Great dodecicosahedron Great dodecicosidodecahedron Great icosicosidodecahedron Great icosidodecahedron Great icosihemidodecahedron Great inverted snub icosidodecahedron Great retrosnub icosidodecahedron Great rhombidodecahedron Great rhombihexahedron Great snub dodecicosidodecahedron Great snub icosidodecahedron Great stellated truncated dodecahedron Great truncated cuboctahedron Great truncated icosidodecahedron Icosidodecadodecahedron Icositruncated dodecadodecahedron Inverted snub dodecadodecahedron Nonconvex great rhombicosidodecahedron Nonconvex great rhombicuboctahedron Octahemioctahedron Rhombicosahedron Rhombidodecadodecahedron Small cubicuboctahedron Small ditrigonal dodecicosidodecahedron Small ditrigonal icosidodecahedron Small dodecahemicosahedron Small dodecahemidodecahedron Small dodecicosahedron Small dodecicosidodecahedron Small icosicosidodecahedron Small icosihemidodecahedron Small retrosnub icosicosidodecahedron Small rhombidodecahedron Small rhombihexahedron Small snub icosicosidodecahedron Small stellated truncated dodecahedron Snub dodecadodecahedron Snub icosidodecadodecahedron Stellated truncated hexahedron Tetrahemihexahedron Truncated dodecadodecahedron Truncated great dodecahedron Truncated great icosahedron Uniform prismatic star polyhedra Prismatic uniform polyhedron Pentagrammic prism, Pentagrammic antiprism, Pentagrammic crossed-antiprism Heptagrammic antiprism (7/2), Heptagrammic antiprism (7/3) Enneagrammic antiprism (9/2). Enneagrammic antiprism (9/4) Enneagrammic crossed-antiprism, Enneagrammic prism (9/2), Enneagrammic prism (9/4) Decagrammic prism, Decagrammic antiprism Johnson solids Johnson solid 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 Bigyrate diminished rhombicosidodecahedron Bilunabirotunda Diminished rhombicosidodecahedron Disphenocingulum Elongated pentagonal bipyramid Elongated pentagonal cupola Elongated pentagonal gyrobicupola Elongated pentagonal gyrobirotunda Elongated pentagonal gyrocupolarotunda Elongated pentagonal orthobicupola Elongated pentagonal orthobirotunda Elongated pentagonal orthocupolarotunda Elongated pentagonal pyramid Elongated pentagonal rotunda Elongated square bipyramid Elongated square cupola Elongated square gyrobicupola Elongated square pyramid Elongated triangular bipyramid Elongated triangular cupola Elongated triangular gyrobicupola Elongated triangular orthobicupola Elongated triangular pyramid Gyrate bidiminished rhombicosidodecahedron Gyrate rhombicosidodecahedron Gyrobifastigium Gyroelongated pentagonal bicupola Gyroelongated pentagonal birotunda Gyroelongated pentagonal cupola Gyroelongated pentagonal cupolarotunda Gyroelongated pentagonal pyramid Gyroelongated pentagonal rotunda Gyroelongated square bicupola Gyroelongated square bipyramid Gyroelongated square cupola Gyroelongated square pyramid Gyroelongated triangular bicupola Gyroelongated triangular cupola Hebesphenomegacorona Metabiaugmented dodecahedron Metabiaugmented hexagonal prism Metabiaugmented truncated dodecahedron Metabidiminished icosahedron Metabidiminished rhombicosidodecahedron Metabigyrate rhombicosidodecahedron Metagyrate diminished rhombicosidodecahedron Parabiaugmented dodecahedron Parabiaugmented hexagonal prism Parabiaugmented truncated dodecahedron Parabidiminished rhombicosidodecahedron Parabigyrate rhombicosidodecahedron Paragyrate diminished rhombicosidodecahedron Pentagonal bipyramid Pentagonal cupola Pentagonal gyrobicupola Pentagonal gyrocupolarotunda Pentagonal orthobicupola Pentagonal orthobirotunda Pentagonal orthocupolarotunda Pentagonal pyramid Pentagonal rotunda Snub disphenoid Snub square antiprism Sphenocorona Sphenomegacorona Square cupola Square gyrobicupola Square orthobicupola Square pyramid Triangular bipyramid Triangular cupola Triangular hebesphenorotunda Triangular orthobicupola Triaugmented dodecahedron Triaugmented hexagonal prism Triaugmented triangular prism Triaugmented truncated dodecahedron Tridiminished icosahedron Tridiminished rhombicosidodecahedron Trigyrate rhombicosidodecahedron Dual uniform star polyhedra Great complex icosidodecahedron Great deltoidal hexecontahedron Great deltoidal icositetrahedron Great dirhombicosidodecacron Great dirhombicosidodecahedron Great disdyakis dodecahedron Great disdyakis triacontahedron Great disnub dirhombidodecacron Great ditrigonal dodecacronic hexecontahedron Great dodecacronic hexecontahedron Great dodecahemicosacron Great dodecicosacron Great hexacronic icositetrahedron Great hexagonal hexecontahedron Great icosacronic hexecontahedron Great icosihemidodecacron Great inverted pentagonal hexecontahedron Great pentagonal hexecontahedron Great pentagrammic hexecontahedron Great pentakis dodecahedron Great rhombic triacontahedron Great rhombidodecacron Great rhombihexacron Great stellapentakis dodecahedron Great triakis icosahedron Great triakis octahedron Great triambic icosahedron Medial deltoidal hexecontahedron Medial disdyakis triacontahedron Medial hexagonal hexecontahedron Medial icosacronic hexecontahedron Medial inverted pentagonal hexecontahedron Medial pentagonal hexecontahedron Medial rhombic triacontahedron Hexahemioctacron Hemipolyhedron Octahemioctacron Rhombicosacron Small complex icosidodecahedron Small ditrigonal dodecacronic hexecontahedron Small dodecacronic hexecontahedron Small dodecahemicosacron Small dodecahemidodecacron Small dodecicosacron Small hexacronic icositetrahedron Small hexagonal hexecontahedron Small hexagrammic hexecontahedron Small icosacronic hexecontahedron Small icosihemidodecacron Small rhombidodecacron Small rhombihexacron Small stellapentakis dodecahedron Small triambic icosahedron Tetrahemihexacron Honeycombs Convex uniform honeycomb Cubic honeycomb Truncated cubic honeycomb Bitruncated cubic honeycomb Cantellated cubic honeycomb Cantitruncated cubic honeycomb Rectified cubic honeycomb Runcitruncated cubic honeycomb Omnitruncated cubic honeycomb Tetrahedral-octahedral honeycomb Truncated alternated cubic honeycomb Cantitruncated alternated cubic honeycomb Runcinated alternated cubic honeycomb Quarter cubic honeycomb Gyrated tetrahedral-octahedral honeycomb Gyrated triangular prismatic honeycomb Gyroelongated alternated cubic honeycomb Gyroelongated triangular prismatic honeycomb Elongated triangular prismatic honeycomb Elongated alternated cubic honeycomb Hexagonal prismatic honeycomb Triangular prismatic honeycomb Triangular-hexagonal prismatic honeycomb Truncated hexagonal prismatic honeycomb Truncated square prismatic honeycomb Rhombitriangular-hexagonal prismatic honeycomb Omnitruncated triangular-hexagonal prismatic honeycomb Snub triangular-hexagonal prismatic honeycomb Snub square prismatic honeycomb Dual uniform honeycomb Disphenoid tetrahedral honeycomb Rhombic dodecahedral honeycomb Others Trapezo-rhombic dodecahedral honeycomb Weaire–Phelan structure Convex uniform honeycombs in hyperbolic space Order-4 dodecahedral honeycomb Order-5 cubic honeycomb Order-5 dodecahedral honeycomb Icosahedral honeycomb Other Apeirogonal prism Apeirohedron Bicupola Cupola Bifrustum Boerdijk–Coxeter helix Császár polyhedron Flexible polyhedron Gyroelongated square dipyramid Heronian tetrahedron Hexagonal bifrustum Hexagonal truncated trapezohedron Hill tetrahedron Holyhedron Infinite skew polyhedron Jessen's icosahedron Near-miss Johnson solid Parallelepiped Pentagonal bifrustum Polytetrahedron Pyritohedron Rhombic enneacontahedron Rhombic icosahedron Rhombo-hexagonal dodecahedron Rhombohedron Scalenohedron Schönhardt polyhedron Square bifrustum Square truncated trapezohedron Szilassi polyhedron Tetradecahedron Tetradyakis hexahedron Tetrated dodecahedron Triangular bifrustum Triaugmented triangular prism Truncated rhombic dodecahedron Truncated trapezohedron Truncated triakis tetrahedron Tridyakis icosahedron Trigonal trapezohedron Regular skew polyhedron Waterman polyhedron Wedge Regular and uniform compound polyhedra Polyhedral compound and Uniform polyhedron compound Compound of cube and octahedron Compound of dodecahedron and icosahedron 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 octahedra Compound of five octahemioctahedra Compound of five small cubicuboctahedra Compound of five small rhombicuboctahedra Compound of five small rhombihexahedra Compound of five small stellated dodecahedra Compound of five stellated truncated cubes Compound of five tetrahedra Compound of five tetrahemihexahedra Compound of five truncated cubes Compound of five truncated tetrahedra Compound of five uniform great rhombicuboctahedra Compound of four hexagonal prisms Compound of four octahedra Compound of four octahedra with rotational freedom Compound of four tetrahedra Compound of four triangular prisms Compound of great icosahedron and great stellated dodecahedron Compound of six cubes with rotational freedom Compound of six decagonal prisms Compound of six decagrammic prisms Compound of six pentagonal antiprisms Compound of six pentagonal prisms Compound of six pentagrammic antiprisms Compound of six pentagrammic crossed antiprisms Compound of six pentagrammic prisms Compound of six square antiprisms 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 Compound of ten triangular prisms Compound of ten truncated tetrahedra Compound of three cubes Compound of three square antiprisms Compound of three tetrahedra Compound of twelve pentagonal antiprisms with rotational freedom Compound of twelve pentagonal prisms Compound of twelve pentagrammic antiprisms Compound of twelve pentagrammic crossed antiprisms with rotational freedom Compound of twelve pentagrammic prisms Compound of twelve tetrahedra with rotational freedom Compound of twenty octahedra Compound of twenty octahedra with rotational freedom Compound of twenty tetrahemihexahedra Compound of twenty triangular prisms Compound of two great dodecahedra Compound of two great icosahedra Compound of two great inverted snub icosidodecahedra Compound of two great retrosnub icosidodecahedra Compound of two great snub icosidodecahedra Compound of two icosahedra Compound of two inverted snub dodecadodecahedra Compound of two small stellated dodecahedra Compound of two snub cubes Compound of two snub dodecadodecahedra Compound of two snub dodecahedra Compound of two snub icosidodecadodecahedra Compound of two truncated tetrahedra Prismatic compound of antiprisms Prismatic compound of antiprisms with rotational freedom Prismatic compound of prisms Prismatic compound of prisms with rotational freedom |
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