In geometry, a polyhedron (pl.: polyhedra or polyhedrons; from Greek πολύ (poly-) 'many' and ἕδρον (-hedron) 'base, seat') is a three-dimensional figure...
91 KB (10,154 words) - 03:12, 20 September 2024
In geometry, every polyhedron is associated with a second dual structure, where the vertices of one correspond to the faces of the other, and the edges...
18 KB (2,272 words) - 22:18, 21 August 2024
Platonic solid (redirect from Convex regular polyhedron)
Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical...
54 KB (5,622 words) - 03:45, 28 September 2024
more specifically in polyhedral combinatorics, a Goldberg polyhedron is a convex polyhedron made from hexagons and pentagons. They were first described...
12 KB (646 words) - 14:48, 4 May 2024
Cube (section Polyhedron, honeycombs, and polytopes)
of solids: Platonic solid, regular polyhedron, parallelohedron, zonohedron, and plesiohedron. The dual polyhedron of a cube is the regular octahedron...
37 KB (3,969 words) - 06:13, 26 September 2024
A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags. A regular polyhedron is highly symmetrical, being all of edge-transitive...
32 KB (3,126 words) - 07:45, 29 July 2024
space is called an n-dimensional polyhedron. Polyhedron may also refer to: Polyhedron (magazine), formerly Polyhedron Newszine, a former magazine targeting...
720 bytes (119 words) - 05:36, 27 May 2024
Edge (geometry) (redirect from Polyhedron edge)
edges; this square has 4 edges. Every edge is shared by two faces in a polyhedron, like this cube. Every edge is shared by three or more faces in a 4-polytope...
6 KB (621 words) - 13:38, 31 July 2024
Euler characteristic (redirect from Euler's polyhedron formula)
numbers of vertices (corners), edges and faces in the given polyhedron. Any convex polyhedron's surface has Euler characteristic χ = V − E + F = 2 ....
29 KB (3,445 words) - 11:17, 12 September 2024
A geodesic polyhedron is a convex polyhedron made from triangles. They usually have icosahedral symmetry, such that they have 6 triangles at a vertex...
17 KB (1,141 words) - 04:12, 8 June 2024