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 (2,264 words) - 14:35, 3 July 2024
In geometry, a polyhedron (pl.: polyhedra or polyhedrons; from Greek πολύ (poly-) 'many' and ἕδρον (-hedron) 'base, seat') is a three-dimensional shape...
87 KB (9,849 words) - 08:10, 8 August 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...
36 KB (3,833 words) - 08:35, 17 August 2024
A dual uniform polyhedron is the dual of a uniform polyhedron. Where a uniform polyhedron is vertex-transitive, a dual uniform polyhedron is face-transitive...
5 KB (514 words) - 13:49, 27 June 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
Goldberg polyhedron is a dual polyhedron of a geodesic polyhedron. A consequence of Euler's polyhedron formula is that a Goldberg polyhedron always has...
12 KB (646 words) - 14:48, 4 May 2024
Snub disphenoid (section Dual polyhedron)
possible Lennard-Jones potential among all eight-sphere clusters. The dual polyhedron of the snub disphenoid is the elongated gyrobifastigium. The snub disphenoid...
16 KB (1,876 words) - 23:02, 10 May 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...
53 KB (5,528 words) - 20:00, 25 July 2024
polyhedron, i.e., an Archimedean solid that is not only vertex-transitive but also edge-transitive. It is radially equilateral. Its dual polyhedron is...
19 KB (1,918 words) - 20:04, 9 August 2024
Buckminster Fuller. Its dual polyhedron is the tetrakis hexahedron. If the original truncated octahedron has unit edge length, its dual tetrakis hexahedron...
19 KB (1,743 words) - 09:21, 1 August 2024