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- ...dra are [[polyhedral dual|duals]] of each other. The geodesic and Goldberg polyhedra are parameterized by integers ''m'' and ''n'', with <math>m > 0</math> and ! rowspan=2 | Vertices<br>(geodesic)<br>Faces<br>(Goldberg) ...30 KB (3,871 words) - 13:23, 5 February 2025
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- |+ Icosahedral Goldberg polyhedra, {{nobr|with pentagons in red}} ...ath|GP(5,3)}} and {{math|GP(3,5)}} are [[enantiomorph]]s of each other. A Goldberg polyhedron is a [[dual polyhedron]] of a [[geodesic polyhedron]]. ...12 KB (1,539 words) - 17:18, 4 February 2025
- Other convex polyhedra that are stereohedra but not parallelohedra nor plesiohedra include the [[g * Goldberg, Michael ''Three Infinite Families of Tetrahedral Space-Fillers'' Journal o ...7 KB (911 words) - 21:32, 16 April 2024
- ...hedron b=1 a=19.stl|thumb|Monostatic polyhedron described {{harvtxt|Conway|Goldberg|Guy|1969}}]] ...hey were described in 1969 by [[John Horton Conway|J. H. Conway]], M. Goldberg, [[Richard K. Guy|R. K. Guy]] and [[Ken Knowlton|K. C. Knowlton]] ...4 KB (587 words) - 07:01, 23 February 2025
- | footer = An [[icosahedron]] and related symmetry polyhedra can be used to define a high geodesic polyhedron by dividing triangular [[F ...les can then be further subdivided into smaller triangles for new geodesic polyhedra. All vertices are valence-6 except the 12 centered at the original vertices ...17 KB (2,290 words) - 21:24, 4 February 2025
- ...dra are [[polyhedral dual|duals]] of each other. The geodesic and Goldberg polyhedra are parameterized by integers ''m'' and ''n'', with <math>m > 0</math> and ! rowspan=2 | Vertices<br>(geodesic)<br>Faces<br>(Goldberg) ...30 KB (3,871 words) - 13:23, 5 February 2025
- {{Short description|Geometric operation which truncates the edges of polyhedra}} ...ticeably different only for solids containing triangles.) The shown [[dual polyhedra]] are dual to the canonical versions. ...25 KB (3,374 words) - 07:20, 9 February 2025
- ...3,1). The Goldberg polyhedra and geodesic polyhedra were precursors to the Goldberg–Coxeter operation. | alt1 = Goldberg polyhedron (3,1) ...21 KB (2,865 words) - 13:23, 8 November 2023
- ...whether a polyhedron has a triangulation is [[NP-complete]]. Several other polyhedra, including [[Jessen's icosahedron]], share with the Schönhardt polyhedron t ...triangulation in this sense, but the Schönhardt polyhedron does not. Among polyhedra with no triangulation, it has the fewest vertices.{{r|schonhardt}} ...16 KB (2,192 words) - 15:58, 18 August 2024
- ...ssen]], who studied it in 1967.{{r|jessen}} In 1971, a family of nonconvex polyhedra including this shape was independently discovered and studied by [[Adrien D ...with struts and cables produces a widely-used [[tensegrity]] structure,{{r|goldberg}} also called the '''six-bar tensegrity''',{{r|cera}} '''tensegrity icosahe ...17 KB (2,186 words) - 03:51, 9 October 2024
- This is a '''list of books about [[polyhedron|polyhedra]]'''. ...n School|jstor=30214199|page=47|title=Tarquin Polyhedra (review of ''Paper Polyhedra in Colour'')|volume=16}}</ref> ...58 KB (7,543 words) - 00:01, 2 December 2024