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

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...

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...

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

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...

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

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

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

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...

images of 6 of the 8 truncated cuboctahedral cells. The other two truncated cuboctahedral cells project to a truncated cuboctahedron inscribed in the projection...

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...

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

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...

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

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

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

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

U# K# V E F Faces by type 6 Truncated tetrahedron triakis tetrahedron 2 3|3 3.6.6 Td U02 K07 12 18 8 4{3} + 4{6} 7 Truncated octahedron tetrakis hexahedron...

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...

bifurcating diagram form can be drawn with two types (colors) of truncated cuboctahedron cells alternating. The dual of the cantitruncated cubic honeycomb...

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...

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

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...

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