• Thumbnail for Great dodecahedron
    In geometry, the great dodecahedron is one of four Kepler–Poinsot polyhedra. It is composed of 12 pentagonal faces (six pairs of parallel pentagons), intersecting...
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  • dodecahedron {⁠5/2⁠,5}, the great dodecahedron {5,⁠5/2⁠}, and the great stellated dodecahedron {⁠5/2⁠,3}. The small stellated dodecahedron and great dodecahedron...
    28 KB (2,042 words) - 06:29, 15 May 2025
  • Thumbnail for Great stellated dodecahedron
    In geometry, the great stellated dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {⁠5/2⁠,3}. It is one of four nonconvex regular polyhedra...
    6 KB (473 words) - 17:11, 1 April 2025
  • Thumbnail for Small stellated dodecahedron
    In geometry, the small stellated dodecahedron is a Kepler–Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {⁠5/2⁠,5}. It is one of...
    10 KB (935 words) - 06:06, 25 May 2025
  • Thumbnail for Truncated great dodecahedron
    In geometry, the truncated great dodecahedron is a nonconvex uniform polyhedron, indexed as U37. It has 24 faces (12 pentagrams and 12 decagons), 90 edges...
    4 KB (187 words) - 14:22, 27 September 2023
  • Thumbnail for Kepler–Poinsot polyhedron
    icosahedron edge length. The small stellated dodecahedron, great dodecahedron, and great stellated dodecahedron edge lengths are respectively ϕ 3 = 2 + 5...
    32 KB (2,320 words) - 21:42, 21 May 2025
  • Thumbnail for Regular dodecahedron
    A regular dodecahedron or pentagonal dodecahedron is a dodecahedron composed of regular pentagonal faces, three meeting at each vertex. It is an example...
    37 KB (3,762 words) - 18:01, 30 May 2025
  • dodecahedron are dual to each other. The small stellated dodecahedron and great dodecahedron are dual to each other. The great stellated dodecahedron...
    32 KB (3,132 words) - 17:55, 2 April 2025
  • Thumbnail for Regular icosahedron
    stellation of regular icosahedron, which consists of 59 polyhedrons. The great dodecahedron, one of the Kepler–Poinsot polyhedra, is constructed by either stellation...
    46 KB (4,617 words) - 02:36, 27 May 2025
  • Thumbnail for Dodecadodecahedron
    as U36. It is the rectification of the great dodecahedron (and that of its dual, the small stellated dodecahedron). It was discovered independently by Hess (1878)...
    8 KB (599 words) - 21:00, 15 March 2024
  • Thumbnail for Great icosidodecahedron
    Schläfli symbol r{3,5⁄2}. It is the rectification of the great stellated dodecahedron and the great icosahedron. It was discovered independently by Hess (1878)...
    5 KB (363 words) - 23:03, 26 September 2023
  • Thumbnail for Nonconvex great rhombicosidodecahedron
    truncated great dodecahedron, and with the uniform compounds of 6 or 12 pentagonal prisms. It additionally shares its edge arrangement with the great dodecicosidodecahedron...
    4 KB (307 words) - 18:35, 24 April 2025
  • Thumbnail for Small complex icosidodecahedron
    very similar figure emerges as a geometrical truncation of the great stellated dodecahedron, where the pentagram faces become doubly-wound pentagons ({5/2}...
    3 KB (276 words) - 02:21, 29 October 2024
  • of icosahedron and great dodecahedron) and the great complex icosidodecahedron (compound of small stellated dodecahedron and great icosahedron). If the...
    25 KB (1,430 words) - 13:59, 18 February 2025
  • Thumbnail for Faceting
    polyhedra: small stellated dodecahedron, great dodecahedron, and great icosahedron. They all have 30 edges. The regular dodecahedron can be faceted into one...
    7 KB (442 words) - 14:51, 15 November 2023
  • Dodecahedron Icosahedron hosohedron dihedron Henagon#In spherical geometry Kepler–Poinsot polyhedra Small stellated dodecahedron Great dodecahedron Great...
    46 KB (3,547 words) - 00:42, 27 May 2025
  • Thumbnail for Compound of great icosahedron and great stellated dodecahedron
    different compounds of great icosahedron and great stellated dodecahedron: one is a dual compound and a stellation of the great icosidodecahedron, the...
    4 KB (267 words) - 18:05, 1 September 2021
  • Thumbnail for Truncated great icosahedron
    latter forming a great dodecahedron inscribed within and sharing the edges of the icosahedron. The great stellapentakis dodecahedron is a nonconvex isohedral...
    4 KB (322 words) - 02:34, 15 November 2023
  • Thumbnail for Alexander's Star
    Alexander's Star is a puzzle similar to the Rubik's Cube, in the shape of a great dodecahedron. Alexander's Star was invented by Adam Alexander, an American mathematician...
    4 KB (507 words) - 23:04, 28 November 2024
  • Thumbnail for Excavated dodecahedron
    In geometry, the excavated dodecahedron is a star polyhedron that looks like a dodecahedron with concave pentagonal pyramids in place of its faces. Its...
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  • (Regular star polyhedra) Small stellated dodecahedron, Great stellated dodecahedron, Great icosahedron, Great dodecahedron Abstract regular polyhedra (Projective...
    30 KB (2,692 words) - 15:23, 9 February 2025
  • Thumbnail for Regular polytope
    stellated dodecahedron and the great stellated dodecahedron in 1619 that he realised these two polyhedra were regular. Louis Poinsot discovered the great dodecahedron...
    42 KB (5,346 words) - 06:15, 18 May 2025
  • Thumbnail for Icosahedral 120-cell
    could be taken as a 4D analogue of the small stellated dodecahedron, dual of the great dodecahedron. List of regular polytopes Convex regular 4-polytope...
    4 KB (284 words) - 03:37, 24 July 2024
  • Octahedron Skewb Diamond Dodecahedron Megaminx Pyraminx Crystal Skewb Ultimate Icosahedron Impossiball Dogic Great dodecahedron Alexander's Star Truncated...
    5 KB (362 words) - 20:57, 26 January 2024
  • Thumbnail for Great rhombidodecahedron
    truncated great dodecahedron and the uniform compounds of 6 or 12 pentagonal prisms. It additionally shares its edge arrangement with the nonconvex great...
    2 KB (100 words) - 10:23, 27 September 2023
  • Thumbnail for Pyraminx Duo
    Octahedron Skewb Diamond Dodecahedron Megaminx Pyraminx Crystal Skewb Ultimate Icosahedron Impossiball Dogic Great dodecahedron Alexander's Star Truncated...
    5 KB (705 words) - 18:04, 17 May 2024
  • 5 Platonic solids are called a tetrahedron, hexahedron, octahedron, dodecahedron and icosahedron with 4, 6, 8, 12, and 20 sides respectively. The regular...
    38 KB (1,075 words) - 09:49, 11 January 2025
  • Thumbnail for Disdyakis dodecahedron
    geometry, a disdyakis dodecahedron, (also hexoctahedron, hexakis octahedron, octakis cube, octakis hexahedron, kisrhombic dodecahedron) or d48, is a Catalan...
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  • Thumbnail for Rubik's Cube
    Alexander's Star (a great dodecahedron). Grégoire Pfennig has also created at least one puzzle in the shape of a small stellated dodecahedron. Puzzles have...
    99 KB (10,351 words) - 20:47, 26 May 2025
  • Small stellated dodecahedron Great dodecahedron 5|25/2 {5/2,5} Ih U34 K39 12 30 12 12{5/2} 21 Great dodecahedron Small stellated dodecahedron 5/2|2 5 {5,5/2}...
    44 KB (263 words) - 10:47, 20 March 2025