In geometry, the truncated cuboctahedron or great rhombicuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron. It has 12 square faces, 8 regular hexagonal faces, 6 regular octagonal faces, 48 vertices, and 72 edges. Since each of its faces has point symmetry (equivalently, 180° rotational symmetry), the truncated cuboctahedron is a 9-zonohedron. The truncated cuboctahedron can tessellate with the octagonal prism.
and 25 Related for: Truncated cuboctahedron information
geometry, the truncatedcuboctahedron or great rhombicuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron. It has 12...
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...
snub cubes, and the convex hull of both sets of vertices is a truncatedcuboctahedron. Kepler first named it in Latin as cubus simus in 1619 in his Harmonices...
In geometry, the great truncatedcuboctahedron (or quasitruncated cuboctahedron or stellatruncated cuboctahedron) is a nonconvex uniform polyhedron, indexed...
the truncated tetrahedron, truncated octahedron, truncated icosahedron (of soccer ball and fullerene fame), truncatedcuboctahedron and the truncated icosidodecahedron...
The truncated octahedron was called the "mecon" by Buckminster Fuller. Its dual polyhedron is the tetrakis hexahedron. If the original truncated octahedron...
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 truncatedcuboctahedron. The truncatedcuboctahedron is similar, with all regular faces, and 4.6.8 vertex...
arrangement of this compound is shared by a convex nonuniform truncatedcuboctahedron, having rectangular faces, alongside irregular hexagons and octagons...
non-uniform truncatedcuboctahedron. Two of the truncated cuboctahedra project to the center of the projection envelope. The remaining 6 truncated cuboctahedra...
the cuboctahedron. The cube is topologically related to a series of spherical polyhedral and tilings with order-3 vertex figures. The cuboctahedron is...
a Catalan solid with 48 faces and the dual to the Archimedean truncatedcuboctahedron. As such it is face-transitive but with irregular face polygons...
and a truncated octahedron forms the truncatedcuboctahedron, while the Minkowski sum of the cube and the rhombic dodecahedron forms the truncated rhombic...
cuboctahedron (right), which is the core of the dual compound. It can also be called an expanded or cantellated cube or octahedron, from truncation operations...
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...
truncated cube, and taC, parsed as t(aC), is (topologically) a truncatedcuboctahedron. The simplest operator dual swaps vertex and face elements; e.g...
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...
uniform honeycomb in hyperbolic 3-space. It has truncated square tiling, truncatedcuboctahedron, and truncated octahedron facets in a mirrored sphenoid vertex...
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...
SM U-20 (Austria-Hungary), a submarine of the Austro-Hungarian Navy Great truncatedcuboctahedron Meizu U20, a smartphone Roland U-20, a synthesizer Small nucleolar...
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...
Faces are truncated, doubling their edges. (The term, coined by Kepler, comes from Latin truncare 'to cut off'.) There are higher truncations also: bitruncation...
In geometry, this may refer to: Truncatedcuboctahedron - an Archimedean solid, with Schläfli symbol tr{4,3}, and Coxeter diagram . Nonconvex great rhombicuboctahedron...
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...
Global Information
![{\displaystyle {\begin{aligned}{\text{4-6:}}&\ \arccos {\tfrac {-{\sqrt {6}}}{3}}=144^{\circ }44'08''\\[4pt]{\text{4-8:}}&\ \arccos {\tfrac {-1}{\sqrt {2}}}=135^{\circ }\\{\text{6-8:}}&\ \arccos {\tfrac {-{\sqrt {3}}}{3}}=125^{\circ }15'51''\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ad2edada83ede0261a61223952aa4e01f01d5b09)