geometry, the truncated cuboctahedron or great rhombicuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron. It has 12...

In geometry, the great truncated cuboctahedron (or quasitruncated cuboctahedron or stellatruncated cuboctahedron) is a nonconvex uniform polyhedron, indexed...

{\begin{Bmatrix}4\\3\end{Bmatrix}}} , and representing an alternation of a truncated cuboctahedron, which has Schläfli symbol t { 4 3 } {\displaystyle t\scriptstyle...

the truncated tetrahedron, truncated octahedron, truncated icosahedron (of soccer ball and fullerene fame), truncated cuboctahedron and the truncated icosidodecahedron...

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...

and a rectified cube. The final polyhedron is a cuboctahedron. The middle image is the uniform truncated cube; it is represented by a Schläfli symbol t{p...

number of vertices is 720° divided by the vertex angle defect. The cuboctahedron and icosidodecahedron are edge-uniform and are called quasi-regular...

triangular prisms, the toroidal polyhedron becomes a truncated cuboctahedron. The truncated cuboctahedron is similar, with all regular faces, and 4.6.8 vertex...

non-uniform truncated cuboctahedron. Two of the truncated cuboctahedra project to the center of the projection envelope. The remaining 6 truncated cuboctahedra...

arrangement of this compound is shared by a convex nonuniform truncated cuboctahedron, having rectangular faces, alongside irregular hexagons and octagons...

and a truncated octahedron forms the truncated cuboctahedron, while the Minkowski sum of the cube and the rhombic dodecahedron forms the truncated rhombic...

The truncated octahedron was called the "mecon" by Buckminster Fuller. Its dual polyhedron is the tetrakis hexahedron. If the original truncated octahedron...

truncated octahedron, truncated cube, rhombicuboctahedron, and truncated cuboctahedron cells, in a rectangular pyramid vertex figure. It has a Coxeter...

a Catalan solid with 48 faces and the dual to the Archimedean truncated cuboctahedron. As such it is face-transitive but with irregular face polygons...

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...

also be constructed as a quasiregular truncated square, t{4}, which alternates two types of edges. A truncated octagon, t{8} is a hexadecagon, {16}. A...

Archimedean solid Truncated tetrahedron Cuboctahedron Truncated cube Truncated octahedron Rhombicuboctahedron Truncated cuboctahedron Snub cube Icosidodecahedron...

cube's vertices can be truncated, and the resulting polyhedron is the Archimedean solid, the truncated cube. When its edges are truncated, it is a rhombicuboctahedron...

truncated 24-cell. Coxeter's snub terminology is slightly different, meaning an alternated truncation, deriving the snub cube as a snub cuboctahedron...

truncated cube, and taC, parsed as t(aC), is (topologically) a truncated cuboctahedron. The simplest operator dual swaps vertex and face elements; e.g...

uniform honeycomb in hyperbolic 3-space. It has truncated square tiling, truncated cuboctahedron, and truncated octahedron facets in a mirrored sphenoid vertex...

Faces are truncated, doubling their edges. (The term, coined by Kepler, comes from Latin truncare 'to cut off'.) There are higher truncations also: bitruncation...

Archimedean solid Truncated tetrahedron, Cuboctahedron, Truncated cube, Truncated octahedron, Rhombicuboctahedron, Truncated cuboctahedron, Snub cube, Icosidodecahedron...

the tetrakis cuboctahedron is a convex polyhedron with 32 triangular faces, 48 edges, and 18 vertices. It is a dual of the truncated rhombic dodecahedron...

r_{i}r_{c}=r_{m}^{2}} . As an example, let A {\displaystyle {\bf {A}}} be a cuboctahedron with edge length l = 1 {\displaystyle l=1} . Then C {\displaystyle {\bf...

omnitruncated order-4 dodecahedral honeycomb, , has truncated icosidodecahedron, truncated cuboctahedron, decagonal prism, and octagonal prism cells, with...

convex hull is a nonuniform truncated cuboctahedron. Cartesian coordinates for the vertices of a cubitruncated cuboctahedron are all the permutations of...

order-4 hexagonal tiling honeycomb, t0,1,2,3{6,3,4}, has truncated cuboctahedron, truncated trihexagonal tiling, dodecagonal prism, and octagonal prism...

plane, starting with the truncated triheptagonal tiling. Wikimedia Commons has media related to Uniform tiling 4-6-12 (truncated trihexagonal tiling). Tilings...

In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and...