• Thumbnail for Expanded cuboctahedron
    The expanded cuboctahedron is a polyhedron constructed by expansion of the cuboctahedron. It has 50 faces: 8 triangles, 30 squares, and 12 rhombs. The...
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  • Thumbnail for Cuboctahedron
    A cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares...
    24 KB (2,142 words) - 19:35, 10 June 2025
  • Thumbnail for Toroidal polyhedron
    truncated octahedron expanded cuboctahedron truncated cuboctahedron truncated cuboctahedron truncated cuboctahedron truncated cuboctahedron Vertices 32 30 30...
    11 KB (943 words) - 21:29, 25 June 2025
  • Thumbnail for Rhombicuboctahedron
    octagonal prism. A rhombicuboctahedron may also be known as an expanded octahedron or expanded cube. This is because the rhombicuboctahedron may also be constructed...
    23 KB (2,325 words) - 00:32, 1 July 2025
  • Thumbnail for Kinematics of the cuboctahedron
    The skeleton of a cuboctahedron, considering its edges as rigid beams connected at flexible joints at its vertices but omitting its faces, does not have...
    16 KB (2,012 words) - 02:45, 16 June 2025
  • Thumbnail for Expanded icosidodecahedron
    polygon faces. Rhombicosidodecahedron (expanded dodecahedron) Truncated rhombicosidodecahedron Expanded cuboctahedron "Uniform Polyhedron". Coxeter Regular...
    4 KB (198 words) - 04:52, 18 April 2025
  • Thumbnail for Snub rhombicuboctahedron
    rhombicuboctahedron can be seen in sequence of operations from the cuboctahedron. Expanded cuboctahedron Truncated rhombicosidodecahedron John H. Conway, Heidi Burgiel...
    3 KB (91 words) - 07:37, 27 January 2019
  • Thumbnail for Diminished rhombic dodecahedron
    polyhedron with different proportions can be constructed as an augmented cuboctahedron, with a square face augmented by a square pyramid. This construction...
    3 KB (314 words) - 02:22, 22 September 2022
  • Thumbnail for Compound of cube and octahedron
    also the first stellation of the cuboctahedron and given as Wenninger model index 43. It can be seen as a cuboctahedron with square and triangular pyramids...
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  • Thumbnail for Truncated rhombicuboctahedron
    runcic cubic honeycomb. Truncated small rhombicuboctahedron Beveled cuboctahedron As a zonohedron, it can be constructed with all but 12 octagons as regular...
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  • Thumbnail for Cantellation (geometry)
    Example: cantellation sequence between cube and octahedron: Example: a cuboctahedron is a cantellated tetrahedron. For higher-dimensional polytopes, a cantellation...
    5 KB (236 words) - 09:43, 9 January 2025
  • Thumbnail for Runcinated tesseracts
    truncated cuboctahedron into 2 dimensions. Thus, the omnitruncated tesseract may be thought of as another analogue of the truncated cuboctahedron in 4 dimensions...
    29 KB (2,218 words) - 19:28, 9 June 2025
  • Thumbnail for Rhombic dodecahedron
    vertices of 2 types. As a Catalan solid, it is the dual polyhedron of the cuboctahedron. As a parallelohedron, the rhombic dodecahedron can be used to tesselate...
    24 KB (2,412 words) - 04:00, 26 June 2025
  • Thumbnail for Conway polyhedron notation
    truncated cube, and taC, parsed as t(aC), is (topologically) a truncated cuboctahedron. The simplest operator dual swaps vertex and face elements; e.g., a...
    47 KB (2,673 words) - 09:29, 9 November 2024
  • Thumbnail for Runcinated 5-cell
    be dissected by a central cuboctahedron into two tetrahedral cupola. This dissection is analogous to the 3D cuboctahedron being dissected by a central...
    40 KB (1,759 words) - 19:20, 9 June 2025
  • Thumbnail for Great truncated cuboctahedron
    In geometry, the great truncated cuboctahedron (or quasitruncated cuboctahedron or stellatruncated cuboctahedron) is a nonconvex uniform polyhedron, indexed...
    2 KB (175 words) - 11:31, 9 April 2025
  • Thumbnail for Rectification (geometry)
    called a cuboctahedron, and also represented as { 4 3 } {\displaystyle {\begin{Bmatrix}4\\3\end{Bmatrix}}} . And a rectified cuboctahedron rr{4,3} is...
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  • Thumbnail for Great cubicuboctahedron
    This polyhedron-related article is a stub. You can help Wikipedia by expanding it....
    3 KB (193 words) - 12:34, 29 April 2025
  • Thumbnail for 25 great circles of the spherical octahedron
    dodecahedron, the dual of a truncated cuboctahedron. Four more great circles represent the edges of a cuboctahedron, and the last twelve great circles connect...
    1 KB (138 words) - 13:58, 14 March 2023
  • Thumbnail for Octahemioctahedron
    torus). It shares the vertex arrangement and edge arrangement with the cuboctahedron (having the triangular faces in common), and with the cubohemioctahedron...
    5 KB (381 words) - 23:59, 5 February 2025
  • Thumbnail for Octagon
    An octagonal antiprism contains two octagonal faces. The truncated cuboctahedron contains 6 octagonal faces. The omnitruncated cubic honeycomb The octagon...
    18 KB (2,159 words) - 23:01, 15 March 2025
  • that occur, when a cuboctahedron is collapsed through icosahedral, octahedral and tetrahedral stages, then inside-outed and re-expanded in a complementary...
    22 KB (2,691 words) - 16:13, 29 January 2025
  • the Mian-Chowla sequence. There are 252 points on the surface of a cuboctahedron of radius five in the face-centered cubic lattice, 252 ways of writing...
    2 KB (462 words) - 17:07, 12 December 2022
  • Thumbnail for List of uniform polyhedra by Schwarz triangle
    the density. This happens in the following cases: The great truncated cuboctahedron, 2 3 4/3 |. While the Schwarz triangle (2 3 4/3) has density 7, recovering...
    97 KB (2,780 words) - 09:56, 11 May 2025
  • Thumbnail for Cubitruncated cuboctahedron
    In geometry, the cubitruncated cuboctahedron or cuboctatruncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U16. It has 20 faces (8 hexagons...
    3 KB (284 words) - 05:02, 4 March 2023
  • Thumbnail for Tensegrity
    descriptions of redirect targets Kinematics of the cuboctahedron – Symmetrical transformations of the cuboctahedron into related uniform polyhedra, the geometry...
    39 KB (4,271 words) - 23:04, 19 June 2025
  • Thumbnail for Speedcubing
    Speedcubing (category Articles to be expanded from September 2024)
    list of official WCA events in 2012.[citation needed] Rainbow Cube, a cuboctahedron-shaped puzzle, the Rainbow Cube was removed from the list of official...
    42 KB (4,388 words) - 17:09, 29 June 2025
  • Thumbnail for Tetrahedral cupola
    tetrahedral cupola is a polychoron bounded by one tetrahedron, a parallel cuboctahedron, connected by 10 triangular prisms, and 4 triangular pyramids. The tetrahedral...
    3 KB (129 words) - 18:46, 8 January 2025
  • Thumbnail for Cubohemioctahedron
    visible. It shares the vertex arrangement and edge arrangement with the cuboctahedron (having the square faces in common), and with the octahemioctahedron...
    3 KB (299 words) - 22:42, 27 December 2022
  • Thumbnail for Tetrahedral-octahedral honeycomb
    honeycomb. Its Voronoi cell is a rhombic dodecahedron, the dual of the cuboctahedron vertex figure for the tet-oct honeycomb. The D+ 3 packing can be constructed...
    33 KB (2,203 words) - 19:56, 14 April 2025