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Polyhedra

Polyhedron Pol`y*he"dron, n.; pl. E. Polyhedrons., L. Polyhedra. [NL., fr. Gr. ? with many seats or sides; poly`s many + ? a seat or side: cf. F. poly[`e]dre.] 1. (Geom.) A body or solid contained by many sides or planes. 2. (Opt.) A polyscope, or multiplying glass.

Polyhedron Pol`y*he"dron, n.; pl. E. Polyhedrons., L. Polyhedra. [NL., fr. Gr. ? with many seats or sides; poly`s many + ? a seat or side: cf. F. poly[`e]dre.] 1. (Geom.) A body or solid contained by many sides or planes. 2. (Opt.) A polyscope, or multiplying glass.

- In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners...

- of selected geodesic polyhedra and Goldberg polyhedra, two infinite cl****es of polyhedra. Geodesic polyhedra and Goldberg polyhedra are duals of each other...

- uniform polyhedra with degenerate vertex figures which have overlapping edges (not counted by Coxeter); The uniform tilings (infinite polyhedra) 11 Euclidean...

- been responsible for the first known proof that no other convex regular polyhedra exist. The Platonic solids are prominent in the philosophy of Plato, their...

- convex regular polyhedra (the Platonic solids), and four regular star polyhedra (the Kepler–Poinsot polyhedra), making nine regular polyhedra in all. In addition...

- Such dual figures remain combinatorial or abstract polyhedra, but not all are also geometric polyhedra. Starting with any given polyhedron, the dual of...

- the tetrahedron with 4 triangular faces, 6 edges, and 4 vertices. Named polyhedra primarily come from the families of platonic solids, Archimedean solids...

- regular star dodecahedra. They form three of the four Kepler–Poinsot polyhedra. They are the small stellated dodecahedron {5/2, 5}, the great dodecahedron...

- and mathematical objects such as polyhedra and the Möbius strip. Magnus Wenninger creates colourful stellated polyhedra, originally as models for teaching...

- convex, so many of the uniform polyhedra are also star polyhedra. There are two infinite cl****es of uniform polyhedra together with 75 others. Infinite...

- of selected geodesic polyhedra and Goldberg polyhedra, two infinite cl****es of polyhedra. Geodesic polyhedra and Goldberg polyhedra are duals of each other...

- uniform polyhedra with degenerate vertex figures which have overlapping edges (not counted by Coxeter); The uniform tilings (infinite polyhedra) 11 Euclidean...

- been responsible for the first known proof that no other convex regular polyhedra exist. The Platonic solids are prominent in the philosophy of Plato, their...

- convex regular polyhedra (the Platonic solids), and four regular star polyhedra (the Kepler–Poinsot polyhedra), making nine regular polyhedra in all. In addition...

- Such dual figures remain combinatorial or abstract polyhedra, but not all are also geometric polyhedra. Starting with any given polyhedron, the dual of...

- the tetrahedron with 4 triangular faces, 6 edges, and 4 vertices. Named polyhedra primarily come from the families of platonic solids, Archimedean solids...

- regular star dodecahedra. They form three of the four Kepler–Poinsot polyhedra. They are the small stellated dodecahedron {5/2, 5}, the great dodecahedron...

- and mathematical objects such as polyhedra and the Möbius strip. Magnus Wenninger creates colourful stellated polyhedra, originally as models for teaching...

- convex, so many of the uniform polyhedra are also star polyhedra. There are two infinite cl****es of uniform polyhedra together with 75 others. Infinite...

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