• 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...
    19 KB (1,918 words) - 12:38, 26 July 2024
  • 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...
    26 KB (2,869 words) - 07:52, 21 May 2024
  • Thumbnail for Truncated cuboctahedron
    the truncated cuboctahedron or great rhombicuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron. It has 12 square...
    14 KB (977 words) - 06:06, 14 November 2023
  • Thumbnail for Icosahedron
    a solid cube. A regular icosahedron is topologically identical to a cuboctahedron with its 6 square faces bisected on diagonals with pyritohedral symmetry...
    12 KB (876 words) - 01:49, 28 July 2024
  • Thumbnail for Snub cube
    Snub cube (redirect from Snub cuboctahedron)
    In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles. It has 60 edges and...
    9 KB (951 words) - 05:58, 27 June 2024
  • Thumbnail for Tetrakis cuboctahedron
    In geometry, the tetrakis cuboctahedron is a convex polyhedron with 32 triangular faces, 48 edges, and 18 vertices. It is a dual of the truncated rhombic...
    3 KB (219 words) - 04:43, 20 January 2024
  • Thumbnail for Triangular orthobicupola
    vertex-transitive. It is also called an anticuboctahedron, twisted cuboctahedron or disheptahedron. It is also a canonical polyhedron. A Johnson solid...
    5 KB (569 words) - 03:07, 18 July 2024
  • planes) 11 Cuboctahedron (regular) Oh 43 Compound of cube and octahedron (First stellation of cuboctahedron) Oh 44 Second stellation of cuboctahedron Oh 45...
    44 KB (263 words) - 03:46, 8 February 2024
  • Thumbnail for Archimedean solid
    number of vertices is 720° divided by the vertex angle defect. The cuboctahedron and icosidodecahedron are edge-uniform and are called quasi-regular...
    26 KB (1,309 words) - 05:59, 3 November 2023
  • 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 Hemi-cuboctahedron
    A hemi-cuboctahedron is an abstract polyhedron, containing half the faces of a semiregular cuboctahedron. It has 4 triangular faces and 3 square faces...
    2 KB (163 words) - 23:30, 19 July 2024
  • 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...
    5 KB (260 words) - 07:23, 9 July 2024
  • 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...
    4 KB (208 words) - 03:39, 22 May 2024
  • Thumbnail for Rhombicuboctahedron
    In geometry, rhombicuboctahedron is an Archimedean solid with 26 faces, consisting of 8 equilateral triangles and 18 squares. It is named by Johannes Kepler...
    23 KB (2,283 words) - 04:23, 16 July 2024
  • Thumbnail for Great cubicuboctahedron
    In geometry, the great cubicuboctahedron is a nonconvex uniform polyhedron, indexed as U14. It has 20 faces (8 triangles, 6 squares and 6 octagrams), 48...
    3 KB (193 words) - 17:41, 27 April 2023
  • Thumbnail for Rhombic dodecahedron
    the dual polyhedron of the cuboctahedron. The rhombic dodecahedron is a zonohedron. Its polyhedral dual is the cuboctahedron. The long face-diagonal length...
    23 KB (2,387 words) - 01:14, 8 July 2024
  • Thumbnail for Truncated octahedron
    In geometry, the truncated octahedron is the Archimedean solid that arises from a regular octahedron by removing six pyramids, one at each of the octahedron's...
    19 KB (1,743 words) - 00:50, 28 July 2024
  • 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 Great truncated cuboctahedron
    In geometry, the great truncated cuboctahedron (or quasitruncated cuboctahedron or stellatruncated cuboctahedron) is a nonconvex uniform polyhedron, indexed...
    2 KB (171 words) - 21:41, 14 November 2023
  • Thumbnail for Small cubicuboctahedron
    In geometry, the small cubicuboctahedron is a uniform star polyhedron, indexed as U13. It has 20 faces (8 triangles, 6 squares, and 6 octagons), 48 edges...
    6 KB (695 words) - 08:13, 27 September 2023
  • Thumbnail for Toroidal polyhedron
    octahedron expanded cuboctahedron truncated cuboctahedron truncated cuboctahedron truncated cuboctahedron truncated cuboctahedron Vertices 32 30 30 62...
    12 KB (997 words) - 01:27, 30 April 2024
  • exchange, or central office (CO) Cofunction, or Co, in trigonometry Cuboctahedron, a uniform polyhedron Nguyễn Hữu Có (1925–2012), Vietnamese general...
    3 KB (419 words) - 00:40, 8 January 2024
  • Thumbnail for Square tiling honeycomb
    vertex figure. The cantellated square tiling honeycomb, rr{4,4,3}, has cuboctahedron, square tiling, and triangular prism facets, with an isosceles triangular...
    26 KB (898 words) - 03:59, 24 July 2024
  • Thumbnail for Disdyakis dodecahedron
    Catalan solid with 48 faces and the dual to the Archimedean truncated cuboctahedron. As such it is face-transitive but with irregular face polygons. It...
    10 KB (796 words) - 14:43, 4 May 2024
  • Thumbnail for Cube
    uniform) truncated tetrahedron cuboctahedron truncated cube truncated octahedron rhombicuboctahedron truncated cuboctahedron snub cube icosidodecahedron...
    36 KB (3,837 words) - 04:26, 24 July 2024
  • attached to the doubling and quadrupling of edges that occur, when a cuboctahedron is collapsed through icosahedral, octahedral and tetrahedral stages...
    22 KB (2,687 words) - 00:13, 29 January 2024
  • the family of Archimedean and Catalan solids, there are 24 edges in a cuboctahedron and rhombic dodecahedron, 24 vertices in a rhombicuboctahedron, truncated...
    19 KB (2,410 words) - 17:38, 26 July 2024
  • 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...
    6 KB (323 words) - 22:24, 27 October 2021
  • 4
    only four polytopes with radial equilateral symmetry: the hexagon, the cuboctahedron, the tesseract, and the 24-cell. Four-dimensional differential manifolds...
    88 KB (9,406 words) - 17:51, 18 July 2024
  • Thumbnail for Catalan solid
    r_{i}r_{c}=r_{m}^{2}} . As an example, let A {\displaystyle {\bf {A}}} be a cuboctahedron with edge length l = 1 {\displaystyle l=1} . Then C {\displaystyle {\bf...
    23 KB (2,495 words) - 12:59, 17 March 2024