• Thumbnail for Rhombic triacontahedron
    The rhombic triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with...
    11 KB (1,040 words) - 11:44, 10 July 2024
  • Thumbnail for Disdyakis triacontahedron
    It slightly resembles an inflated rhombic triacontahedron: if one replaces each face of the rhombic triacontahedron with a single vertex and four triangles...
    14 KB (1,274 words) - 03:08, 19 July 2024
  • or the rhombic triacontahedron or the rhombic dodecahedral honeycomb or the rhombic icosahedron or the rhombic hexecontahedron or the rhombic enneacontahedron...
    778 bytes (134 words) - 13:06, 29 June 2016
  • Thumbnail for Medial rhombic triacontahedron
    medial rhombic triacontahedron (or midly rhombic triacontahedron) is a nonconvex isohedral polyhedron. It is a stellation of the rhombic triacontahedron, and...
    4 KB (425 words) - 17:55, 31 March 2024
  • Thumbnail for Rhombic dodecahedron
    solids, the cuboctahedron, the icosidodecahedron, and the rhombic triacontahedron. The rhombic dodecahedron can be used to tessellate three-dimensional...
    23 KB (2,402 words) - 22:20, 12 September 2024
  • Thumbnail for Chamfered dodecahedron
    truncated rhombic triacontahedron, constructed as a truncation of the rhombic triacontahedron. It can more accurately be called an order-5 truncated rhombic triacontahedron...
    10 KB (597 words) - 21:18, 11 November 2023
  • Thumbnail for Great rhombic triacontahedron
    rhombic triacontahedron is a nonconvex isohedral, isotoxal polyhedron. It is the dual of the great icosidodecahedron (U54). Like the convex rhombic triacontahedron...
    3 KB (298 words) - 22:29, 27 December 2022
  • Thumbnail for Rhombus
    faces. The great rhombic triacontahedron is a nonconvex isohedral, isotoxal polyhedron with 30 intersecting rhombic faces. The rhombic hexecontahedron...
    16 KB (1,719 words) - 20:18, 25 August 2024
  • Thumbnail for Dodecadodecahedron
    polyhedron of index two: The medial rhombic triacontahedron is the dual of the dodecadodecahedron. It has 30 intersecting rhombic faces. It is topologically equivalent...
    8 KB (599 words) - 21:00, 15 March 2024
  • Thumbnail for Great icosidodecahedron
    stellated triacontahedron. The great rhombic triacontahedron can be constructed by expanding the size of the faces of a rhombic triacontahedron by a factor...
    5 KB (363 words) - 23:03, 26 September 2023
  • Thumbnail for Rhombic hexecontahedron
    In geometry, a rhombic hexecontahedron is a stellation of the rhombic triacontahedron. It is nonconvex with 60 golden rhombic faces with icosahedral symmetry...
    6 KB (542 words) - 22:42, 12 September 2024
  • in non-periodic spacefillings along with the rhombic triacontahedron, the rhombic icosahedron and rhombic hexahedra. There are 6,384,634 topologically...
    28 KB (2,027 words) - 21:44, 13 August 2024
  • Thumbnail for Rhombic enneacontahedron
    rhombi and 30 slim. The rhombic enneacontahedron is a zonohedron with a superficial resemblance to the rhombic triacontahedron. It can also be seen as...
    5 KB (478 words) - 16:00, 8 October 2022
  • Thumbnail for Rhombic icosahedron
    from a 4-cube, and a rhombic triacontahedron from a 6-cube. The rhombic icosahedron can be derived from the rhombic triacontahedron by removing a belt of...
    4 KB (391 words) - 16:40, 11 September 2024
  • Thumbnail for Rhombohedron
    Rhombohedron (redirect from Rhombic prism)
    In geometry, a rhombohedron (also called a rhombic hexahedron or, inaccurately, a rhomboid) is a special case of a parallelepiped in which all six faces...
    7 KB (800 words) - 07:48, 25 August 2024
  • Thumbnail for Chamfer (geometry)
    called a pentatruncated rhombic triacontahedron, because only the (12) order-5 vertices of the rhombic triacontahedron are truncated. The dual of the chamfered...
    25 KB (1,272 words) - 10:31, 25 August 2024
  • Thumbnail for Compound of five cubes
    of a regular dodecahedron. It is one of the stellations of the rhombic triacontahedron. It has icosahedral symmetry (Ih). The compound is a faceting of...
    6 KB (394 words) - 20:39, 24 February 2024
  • icosahedron, of vertices of an icosidodecahedron, and of faces of a rhombic triacontahedron. The sum of the number of elements of a 5-cell: 5 vertices, 10...
    9 KB (1,146 words) - 15:55, 9 September 2024
  • Thumbnail for Catalan solid
    two of the Catalan solids are edge-transitive: the rhombic dodecahedron and the rhombic triacontahedron. These are the duals of the two quasi-regular Archimedean...
    23 KB (2,495 words) - 12:59, 17 March 2024
  • Thumbnail for Isohedral figure
    is said to be noble. Not all isozonohedra are isohedral. For example, a rhombic icosahedron is an isozonohedron but not an isohedron. A polyhedron (or...
    16 KB (678 words) - 04:06, 30 August 2024
  • Thumbnail for Decagon
    of the 5-cube. A dissection is based on 10 of 30 faces of the rhombic triacontahedron. The list OEIS: A006245 defines the number of solutions as 62,...
    15 KB (1,851 words) - 07:19, 1 July 2024
  • Thumbnail for Icosahedron
    family exist. The rhombic icosahedron is a zonohedron made up of 20 congruent rhombs. It can be derived from the rhombic triacontahedron by removing 10 middle...
    11 KB (875 words) - 01:16, 6 August 2024
  • Thumbnail for Expanded icosidodecahedron
    operation from the rhombic triacontahedron can be seen in this animation: This polyhedron can be dissected into a central rhombic triacontahedron surrounded by:...
    4 KB (198 words) - 17:18, 16 October 2021
  • constant proportionality of the octahedron, the cube, the rhombic triacontahedron, and the rhombic dodecahedron when referenced to the tetrahedron as volumetric...
    22 KB (2,687 words) - 00:13, 29 January 2024
  • Thumbnail for Icosidodecahedron
    {\displaystyle (3\cdot 5)^{2}=3^{2}\cdot 5^{2}} . Its dual polyhedron is rhombic triacontahedron, a Catalan solid. The icosidodecahedron has 6 central decagons...
    14 KB (1,334 words) - 23:29, 12 September 2024
  • Thumbnail for Icosahedral symmetry
    the regular dodecahedron (the dual of the icosahedron) and the rhombic triacontahedron. Every polyhedron with icosahedral symmetry has 60 rotational (or...
    48 KB (2,349 words) - 22:59, 20 April 2024
  • Thumbnail for Inscribed figure
    A tetrahedron (red) inscribed in a cube (yellow) which is, in turn, inscribed in a rhombic triacontahedron (grey). (Click here for rotating model)...
    5 KB (650 words) - 19:50, 30 November 2023
  • icositetrahedron, Rhombic triacontahedron, Triakis icosahedron, Pentakis dodecahedron, Deltoidal hexecontahedron, Disdyakis triacontahedron, Pentagonal hexecontahedron...
    30 KB (2,685 words) - 07:39, 28 July 2024
  • solids) are again zonohedra: Kepler's rhombic dodecahedron is the dual of the cuboctahedron. The rhombic triacontahedron is the dual of the icosidodecahedron...
    25 KB (2,511 words) - 05:58, 9 June 2024
  • pentagrammic hexecontahedron Great pentakis dodecahedron Great rhombic triacontahedron Great rhombidodecacron Great rhombihexacron Great stellapentakis...
    47 KB (3,580 words) - 17:01, 29 June 2024