The expanded cuboctahedron is a polyhedron constructed by expansion of the cuboctahedron. It has 50 faces: 8 triangles, 30 squares, and 12 rhombs. The...
5 KB (260 words) - 04:51, 18 April 2025
A cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares...
24 KB (2,142 words) - 19:35, 10 June 2025
truncated octahedron expanded cuboctahedron truncated cuboctahedron truncated cuboctahedron truncated cuboctahedron truncated cuboctahedron Vertices 32 30 30...
11 KB (943 words) - 21:29, 25 June 2025
Rhombicuboctahedron (redirect from Rectified cuboctahedron)
octagonal prism. A rhombicuboctahedron may also be known as an expanded octahedron or expanded cube. This is because the rhombicuboctahedron may also be constructed...
23 KB (2,325 words) - 00:32, 1 July 2025
The skeleton of a cuboctahedron, considering its edges as rigid beams connected at flexible joints at its vertices but omitting its faces, does not have...
16 KB (2,012 words) - 02:45, 16 June 2025
polygon faces. Rhombicosidodecahedron (expanded dodecahedron) Truncated rhombicosidodecahedron Expanded cuboctahedron "Uniform Polyhedron". Coxeter Regular...
4 KB (198 words) - 04:52, 18 April 2025
rhombicuboctahedron can be seen in sequence of operations from the cuboctahedron. Expanded cuboctahedron Truncated rhombicosidodecahedron John H. Conway, Heidi Burgiel...
3 KB (91 words) - 07:37, 27 January 2019
Diminished rhombic dodecahedron (redirect from Augmented cuboctahedron)
polyhedron with different proportions can be constructed as an augmented cuboctahedron, with a square face augmented by a square pyramid. This construction...
3 KB (314 words) - 02:22, 22 September 2022
Compound of cube and octahedron (redirect from First stellation of cuboctahedron)
also the first stellation of the cuboctahedron and given as Wenninger model index 43. It can be seen as a cuboctahedron with square and triangular pyramids...
4 KB (208 words) - 21:10, 27 June 2025
runcic cubic honeycomb. Truncated small rhombicuboctahedron Beveled cuboctahedron As a zonohedron, it can be constructed with all but 12 octagons as regular...
6 KB (323 words) - 04:51, 18 April 2025
Cantellation (geometry) (redirect from Expanded polyhedron)
Example: cantellation sequence between cube and octahedron: Example: a cuboctahedron is a cantellated tetrahedron. For higher-dimensional polytopes, a cantellation...
5 KB (236 words) - 09:43, 9 January 2025
Runcinated tesseracts (redirect from Expanded 4-cube)
truncated cuboctahedron into 2 dimensions. Thus, the omnitruncated tesseract may be thought of as another analogue of the truncated cuboctahedron in 4 dimensions...
29 KB (2,218 words) - 19:28, 9 June 2025
vertices of 2 types. As a Catalan solid, it is the dual polyhedron of the cuboctahedron. As a parallelohedron, the rhombic dodecahedron can be used to tesselate...
24 KB (2,412 words) - 04:00, 26 June 2025
Conway polyhedron notation (redirect from Conway expand operator)
truncated cube, and taC, parsed as t(aC), is (topologically) a truncated cuboctahedron. The simplest operator dual swaps vertex and face elements; e.g., a...
47 KB (2,673 words) - 09:29, 9 November 2024
Runcinated 5-cell (redirect from Expanded 4-simplex)
be dissected by a central cuboctahedron into two tetrahedral cupola. This dissection is analogous to the 3D cuboctahedron being dissected by a central...
40 KB (1,759 words) - 19:20, 9 June 2025
In geometry, the great truncated cuboctahedron (or quasitruncated cuboctahedron or stellatruncated cuboctahedron) is a nonconvex uniform polyhedron, indexed...
2 KB (175 words) - 11:31, 9 April 2025
called a cuboctahedron, and also represented as { 4 3 } {\displaystyle {\begin{Bmatrix}4\\3\end{Bmatrix}}} . And a rectified cuboctahedron rr{4,3} is...
15 KB (889 words) - 22:06, 13 February 2025
Great cubicuboctahedron (redirect from Great cuboctahedron)
This polyhedron-related article is a stub. You can help Wikipedia by expanding it....
3 KB (193 words) - 12:34, 29 April 2025
dodecahedron, the dual of a truncated cuboctahedron. Four more great circles represent the edges of a cuboctahedron, and the last twelve great circles connect...
1 KB (138 words) - 13:58, 14 March 2023
torus). It shares the vertex arrangement and edge arrangement with the cuboctahedron (having the triangular faces in common), and with the cubohemioctahedron...
5 KB (381 words) - 23:59, 5 February 2025
An octagonal antiprism contains two octagonal faces. The truncated cuboctahedron contains 6 octagonal faces. The omnitruncated cubic honeycomb The octagon...
18 KB (2,159 words) - 23:01, 15 March 2025
that occur, when a cuboctahedron is collapsed through icosahedral, octahedral and tetrahedral stages, then inside-outed and re-expanded in a complementary...
22 KB (2,691 words) - 16:13, 29 January 2025
the Mian-Chowla sequence. There are 252 points on the surface of a cuboctahedron of radius five in the face-centered cubic lattice, 252 ways of writing...
2 KB (462 words) - 17:07, 12 December 2022
the density. This happens in the following cases: The great truncated cuboctahedron, 2 3 4/3 |. While the Schwarz triangle (2 3 4/3) has density 7, recovering...
97 KB (2,780 words) - 09:56, 11 May 2025
In geometry, the cubitruncated cuboctahedron or cuboctatruncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U16. It has 20 faces (8 hexagons...
3 KB (284 words) - 05:02, 4 March 2023
descriptions of redirect targets Kinematics of the cuboctahedron – Symmetrical transformations of the cuboctahedron into related uniform polyhedra, the geometry...
39 KB (4,271 words) - 23:04, 19 June 2025
Speedcubing (category Articles to be expanded from September 2024)
list of official WCA events in 2012.[citation needed] Rainbow Cube, a cuboctahedron-shaped puzzle, the Rainbow Cube was removed from the list of official...
42 KB (4,388 words) - 17:09, 29 June 2025
tetrahedral cupola is a polychoron bounded by one tetrahedron, a parallel cuboctahedron, connected by 10 triangular prisms, and 4 triangular pyramids. The tetrahedral...
3 KB (129 words) - 18:46, 8 January 2025
visible. It shares the vertex arrangement and edge arrangement with the cuboctahedron (having the square faces in common), and with the octahemioctahedron...
3 KB (299 words) - 22:42, 27 December 2022
honeycomb. Its Voronoi cell is a rhombic dodecahedron, the dual of the cuboctahedron vertex figure for the tet-oct honeycomb. The D+ 3 packing can be constructed...
33 KB (2,203 words) - 19:56, 14 April 2025