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List of geodesic polyhedra and Goldberg polyhedra information


This is a list of selected geodesic polyhedra and Goldberg polyhedra, two infinite classes of polyhedra. Geodesic polyhedra and Goldberg polyhedra are duals of each other. The geodesic and Goldberg polyhedra are parameterized by integers m and n, with and . T is the triangulation number, which is equal to .

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List of geodesic polyhedra and Goldberg polyhedra

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list of selected geodesic polyhedra and Goldberg polyhedra, two infinite classes of polyhedra. Geodesic polyhedra and Goldberg polyhedra are duals of...

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Geodesic polyhedron

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shape of geodesic polyhedra, and some pollen grains are based on geodesic polyhedra. Fullerene molecules have the shape of Goldberg polyhedra. Geodesic polyhedra...

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Polyhedron

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Extension of a polyhedron Goldberg polyhedron List of books about polyhedra List of convex regular-faced polyhedra List of small polyhedra by vertex count...

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Conway polyhedron notation

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geodesic polyhedra: see List of geodesic polyhedra and Goldberg polyhedra for formulas. The two families are the triangular GC family, ca,b and ua,b, and the...

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Capsid

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of the size and complexity of the capsids. Geometric examples for many values of h, k, and T can be found at List of geodesic polyhedra and Goldberg polyhedra...

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Platonic solid

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at each vertex. There are only five such polyhedra: Geometers have studied the Platonic solids for thousands of years. They are named for the ancient Greek...

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Truncated icosahedron

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footballs (soccer balls) typically patterned with white hexagons and black pentagons. Geodesic domes such as those whose architecture Buckminster Fuller pioneered...

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Geodesic grid

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category. Geodesic grids may use the dual polyhedron of the geodesic polyhedron, which is the Goldberg polyhedron. Goldberg polyhedra are made up of hexagons...

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Thomson problem

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cases N = 2, 3, 4, 6, 12, and the geodesic polyhedra, the convex hull is only topologically equivalent to the figure listed in the last column. According...

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List of unsolved problems in mathematics

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Joseph (2007), "Chapter 22. Edge Unfolding of Polyhedra", Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Cambridge University Press, pp. 306–338...

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Shortest path problem

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Schrijver, Alexander (2004). Combinatorial Optimization — Polyhedra and Efficiency. Algorithms and Combinatorics. Vol. 24. Springer. vol.A, sect.7.5b, p. 103...

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