• This is an indexed list of the uniform and stellated polyhedra from the book Polyhedron Models, by Magnus Wenninger. The book was written as a guide book...
    44 KB (263 words) - 03:46, 8 February 2024
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    and textures for a more realistic effect. Polyhedron List of Wenninger polyhedron models Stella: Polyhedron Navigator: Software to explore virtual polyhedra...
    5 KB (560 words) - 18:14, 4 June 2018
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    Some are listed in the list of Wenninger polyhedron models. An orthogonal polyhedron is one all of whose faces meet at right angles, and all of whose edges...
    86 KB (9,737 words) - 18:21, 23 March 2024
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    of the rhombic triacontahedron 17 stellations of the cuboctahedron (4 are shown in Wenninger's Polyhedron Models) An unknown number of stellations of...
    18 KB (2,186 words) - 04:03, 8 February 2024
  • of various polyhedra. List of Wenninger polyhedron models The Fifty-Nine Icosahedra Wenninger, p. 69, 44 Second stellation of the cuboctahedron Pawley...
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    uniform polyhedra by Schwarz triangle List of Johnson solids List of Wenninger polyhedron models Polyhedron model Uniform tiling Uniform tilings in hyperbolic...
    66 KB (2,540 words) - 22:41, 20 March 2024
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    Magnus Wenninger's book Spherical Models explores these subdivisions in building polyhedron models. After explaining the construction of these models, he...
    17 KB (1,129 words) - 14:31, 8 January 2024
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    still be considered stellations.[examples needed] (See also List of Wenninger polyhedron models) The great stellated dodecahedron shares its vertices with...
    31 KB (2,297 words) - 00:16, 11 April 2024
  • Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-521-09859-9. Wenninger, Magnus (1983). Dual Models. Cambridge University Press...
    40 KB (1,075 words) - 22:29, 17 April 2024
  • Thumbnail for Magnus Wenninger
    Father Magnus J. Wenninger OSB (October 31, 1919– February 17, 2017) was an American mathematician who worked on constructing polyhedron models, and wrote the...
    13 KB (1,618 words) - 09:22, 14 November 2023
  • Thumbnail for The Fifty-Nine Icosahedra
    the f1 rather than the f1 cell. List of Wenninger polyhedron modelsWenninger's book Polyhedron models included 21 of these stellations. Solids with...
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  • Thumbnail for Uniform star polyhedron
    polyhedron is a self-intersecting uniform polyhedron. They are also sometimes called nonconvex polyhedra to imply self-intersecting. Each polyhedron can...
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  • Thumbnail for Final stellation of the icosahedron
    eighth in the book. In Wenninger's book Polyhedron Models, the final stellation of the icosahedron is included as the 17th model of stellated icosahedra...
    12 KB (1,084 words) - 18:14, 24 February 2024
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    diagrams for different kinds of faces. List of Wenninger polyhedron models The fifty nine icosahedra M Wenninger, Polyhedron models; Cambridge University Press...
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  • The outer vertices of a compound can be connected to form a convex polyhedron called its convex hull. A compound is a facetting of its convex hull.[citation...
    25 KB (1,425 words) - 16:50, 28 November 2023
  • MR 0062446 Wenninger, Magnus (1974), Polyhedron Models, Cambridge University Press, ISBN 978-0-521-09859-5, MR 0467493 (Wenninger models: 67, 68, 78...
    14 KB (855 words) - 16:23, 7 June 2023
  • S2CID 202575183 Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-521-09859-9. Skilling, J. (1975), "The complete set of uniform...
    13 KB (650 words) - 16:06, 25 August 2022
  • Thumbnail for Nonconvex great rhombicosidodecahedron
    hexecontahedron. List of uniform polyhedra Maeder, Roman. "67: great rhombicosidodecahedron". MathConsult. Wenninger, Magnus (1983), Dual Models, Cambridge...
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  • Thumbnail for Waterman polyhedron
    write-up hand-made models by Magnus Wenninger write-up by Paul Bourke on-line generator by Paul Bourke program to make Waterman polyhedron by Adrian Rossiter...
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  • Thumbnail for Great disnub dirhombidodecahedron
    dirhombicosidodecacron in Magnus Wenninger's Dual Models, it is represented with intersecting infinite prisms passing through the model center, cut off at a certain...
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  • by Wenninger, together with instructions for constructing models, in his book Dual Models. For a uniform polyhedron, each face of the dual polyhedron may...
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  • Thumbnail for Great dodecahemicosahedron
    Great dodecahemicosahedron (category Polyhedron stubs)
    properly, on the real projective plane at infinity. In Magnus Wenninger's Dual Models, they are represented with intersecting prisms, each extending...
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  • vertices of the regular or quasi-regular polyhedron. Others share the same vertices and edges as other polyhedron. The grouping below exhibit some of these...
    25 KB (796 words) - 18:19, 9 February 2024
  • Thumbnail for Rhombic triacontahedron
    the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces. It has 60 edges and 32 vertices of two types. It is a Catalan solid...
    12 KB (1,059 words) - 21:05, 6 March 2024
  • S2CID 202575183 Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-521-09859-9. Skilling, J. (1975), "The complete set of uniform...
    7 KB (343 words) - 07:08, 27 July 2022
  • Thumbnail for List of geometers
    Pogorelov (1919–2002) – differential geometry Magnus Wenninger (1919–2017) – polyhedron models Jean-Louis Koszul (1921–2018) Isaak Yaglom (1921–1988)...
    14 KB (1,107 words) - 23:56, 10 January 2024
  • Thumbnail for Great icosidodecahedron
    Great icosidodecahedron (category Polyhedron stubs)
    Zeitschrift für das Realschulwesen, 7, JFM 14.0448.01 Wenninger, Magnus (1983), Dual Models, Cambridge University Press, doi:10.1017/CBO9780511569371...
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  • Uniform polyhedra, Phil. Trans. 1954, 246 A, 401–50. Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-521-09859-9. pp. 9–10...
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  • Thumbnail for Catalan solid
    In mathematics, a Catalan solid, or Archimedean dual, is a polyhedron that is dual to an Archimedean solid. There are 13 Catalan solids. They are named...
    23 KB (2,264 words) - 12:59, 17 March 2024
  • Thumbnail for Vertex figure
    the figure exposed when a corner of a polyhedron or polytope is sliced off. Take some corner or vertex of a polyhedron. Mark a point somewhere along each...
    11 KB (1,436 words) - 21:54, 12 December 2023