• Thumbnail for Expanded icosidodecahedron
    The expanded icosidodecahedron is a polyhedron, constructed as an expanded icosidodecahedron. It has 122 faces: 20 triangles, 60 squares, 12 pentagons...
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  • Thumbnail for Truncated rhombicosidodecahedron
    operations from the icosidodecahedron. A further alternation step leads to the snub rhombicosidodecahedron. Expanded icosidodecahedron Truncated rhombicuboctahedron...
    4 KB (197 words) - 00:18, 9 February 2024
  • Thumbnail for Rhombicosidodecahedron
    creates the uniform solid (center), and the rectification of the dual icosidodecahedron (right), which is the core of the dual compound. For a rhombicosidodecahedron...
    15 KB (1,115 words) - 17:53, 22 April 2025
  • Thumbnail for Expanded cuboctahedron
    11. Rhombicuboctahedron (expanded cube) Expanded icosidodecahedron Truncated rhombicuboctahedron A Dissection of the Expanded Rhombic Dodecahedron "Uniform...
    5 KB (260 words) - 04:51, 18 April 2025
  • Thumbnail for Compound of five cubes
    its edge arrangement with the small ditrigonal icosidodecahedron, the great ditrigonal icosidodecahedron, and the ditrigonal dodecadodecahedron. With these...
    7 KB (415 words) - 11:29, 5 May 2025
  • Thumbnail for Hoberman sphere
    typically consists of six great circles corresponding to the edges of an icosidodecahedron. The Hoberman sphere can be unfolded by allowing certain members to...
    4 KB (379 words) - 11:45, 15 February 2025
  • Thumbnail for Great icosidodecahedron
    In geometry, the great icosidodecahedron is a nonconvex uniform polyhedron, indexed as U54. It has 32 faces (20 triangles and 12 pentagrams), 60 edges...
    5 KB (363 words) - 23:03, 26 September 2023
  • Thumbnail for Pentagonal orthobirotunda
    of an icosidodecahedron A {\displaystyle A} can be determined by calculating the area of all pentagonal faces. The volume of an icosidodecahedron V {\displaystyle...
    4 KB (330 words) - 02:37, 29 June 2024
  • Thumbnail for Cantellation (geometry)
    bipyramid Square antiprism or tetragonal trapezohedron Cuboctahedron or rhombic dodecahedron Icosidodecahedron or rhombic triacontahedron Image Animation...
    5 KB (236 words) - 09:43, 9 January 2025
  • Thumbnail for Great truncated icosidodecahedron
    geometry, the great truncated icosidodecahedron (or great quasitruncated icosidodecahedron or stellatruncated icosidodecahedron) is a nonconvex uniform polyhedron...
    3 KB (408 words) - 06:54, 16 May 2024
  • Thumbnail for Compound of five tetrahemihexahedra
    icosahedral symmetry (I). Its convex hull is an icosidodecahedron. Hence it is a faceting of an icosidodecahedron, shown at left. It shares its edges and triangular...
    2 KB (86 words) - 10:38, 22 March 2025
  • Thumbnail for Small dodecahemidodecahedron
    through the model center. It shares its edge arrangement with the icosidodecahedron (its convex hull, having the pentagonal faces in common), and with...
    2 KB (100 words) - 00:05, 27 September 2023
  • Thumbnail for Great icosihemidodecahedron
    center. Its convex hull is the icosidodecahedron. It also shares its edge arrangement with the great icosidodecahedron (having the triangular faces in...
    2 KB (106 words) - 23:55, 26 September 2023
  • Thumbnail for Compound of great icosahedron and great stellated dodecahedron
    compound and a stellation of the great icosidodecahedron, the other is a stellation of the icosidodecahedron. It can be seen as a polyhedron compound...
    4 KB (267 words) - 18:05, 1 September 2021
  • Thumbnail for Great inverted snub icosidodecahedron
    In geometry, the great inverted snub icosidodecahedron (or great vertisnub icosidodecahedron) is a uniform star polyhedron, indexed as U69. It is given...
    5 KB (821 words) - 04:02, 19 November 2024
  • Thumbnail for Elongated pentagonal gyrobirotunda
    In geometry, the elongated pentagonal gyrobirotunda or elongated icosidodecahedron is one of the Johnson solids (J43). As the name suggests, it can be...
    2 KB (263 words) - 11:29, 24 November 2023
  • Thumbnail for Conway polyhedron notation
    sC = sO icosidodecahedron aD = aI truncated dodecahedron tD truncated icosahedron tI rhombicosidodeca­hedron eD = eI truncated icosidodecahedron bD = bI...
    47 KB (2,673 words) - 09:29, 9 November 2024
  • Thumbnail for Ditrigonal dodecadodecahedron
    with the small ditrigonal icosidodecahedron (having the pentagrammic faces in common), the great ditrigonal icosidodecahedron (having the pentagonal faces...
    3 KB (210 words) - 11:02, 4 February 2024
  • Thumbnail for Icositruncated dodecadodecahedron
    icosidodecatruncated icosidodecahedron is a nonconvex uniform polyhedron, indexed as U45. Its convex hull is a nonuniform truncated icosidodecahedron. Cartesian...
    2 KB (231 words) - 05:27, 15 November 2023
  • Thumbnail for Small ditrigonal dodecicosidodecahedron
    the small ditrigonal dodecicosidodecahedron (or small dodekified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U43. It has 44 faces...
    2 KB (100 words) - 07:08, 27 September 2023
  • Thumbnail for Small icosihemidodecahedron
    double covering of this model. It shares its edge arrangement with the icosidodecahedron (its convex hull, having the triangular faces in common), and with...
    2 KB (129 words) - 11:28, 27 September 2023
  • Thumbnail for Great ditrigonal icosidodecahedron
    In geometry, the great ditrigonal icosidodecahedron (or great ditrigonary icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U47. It has...
    3 KB (165 words) - 00:42, 27 September 2023
  • Thumbnail for Vertex configuration
    pentagons. This vertex configuration defines the vertex-transitive icosidodecahedron. The notation is cyclic and therefore is equivalent with different...
    15 KB (1,643 words) - 16:24, 10 May 2025
  • each point of intersection serving as a new center. The design can be expanded ad infinitum depending upon the number of times the odd-numbered points...
    28 KB (2,216 words) - 16:01, 7 February 2025
  • Thumbnail for Rectified 6-orthoplexes
    the regular 6-cube or 6-orthoplex. Klitzing, (o3x3o3o3o4o - rag). Icosidodecahedron from D6 John Baez, January 1, 2015 Klitzing, (o3o3x3o3o4o - brag)...
    8 KB (498 words) - 18:23, 2 May 2025
  • Thumbnail for Great rhombic triacontahedron
    nonconvex isohedral, isotoxal polyhedron. It is the dual of the great icosidodecahedron (U54). Like the convex rhombic triacontahedron it has 30 rhombic faces...
    3 KB (298 words) - 22:29, 27 December 2022
  • Thumbnail for Great icosicosidodecahedron
    In geometry, the great icosicosidodecahedron (or great icosified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U48. It has 52 faces...
    2 KB (96 words) - 20:27, 7 May 2024
  • Thumbnail for Great ditrigonal dodecicosidodecahedron
    the great ditrigonal dodecicosidodecahedron (or great dodekified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U42. It has 44 faces...
    2 KB (102 words) - 22:38, 26 September 2023
  • Thumbnail for Great retrosnub icosidodecahedron
    In geometry, the great retrosnub icosidodecahedron or great inverted retrosnub icosidodecahedron is a nonconvex uniform polyhedron, indexed as U74. It...
    3 KB (528 words) - 19:21, 20 June 2024
  • Thumbnail for Runcinated 120-cells
    truncated icosidodecahedron) (Orthogonal view, centered on decagonal prism cell.) Stereographic projection (centered on truncated icosidodecahedron)...
    15 KB (707 words) - 07:27, 3 May 2025