geometry, the truncated cuboctahedron or great rhombicuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron. It has 12...
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Snub cube (redirect from Snub cuboctahedron)
{\begin{Bmatrix}4\\3\end{Bmatrix}}} , and representing an alternation of a truncated cuboctahedron, which has Schläfli symbol t { 4 3 } {\displaystyle t\scriptstyle...
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In geometry, the great truncated cuboctahedron (or quasitruncated cuboctahedron or stellatruncated cuboctahedron) is a nonconvex uniform polyhedron, indexed...
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Hexagon (redirect from Truncated triangle)
the truncated tetrahedron, truncated octahedron, truncated icosahedron (of soccer ball and fullerene fame), truncated cuboctahedron and the truncated icosidodecahedron...
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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...
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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...
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number of vertices is 720° divided by the vertex angle defect. The cuboctahedron and icosidodecahedron are edge-uniform and are called quasi-regular...
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triangular prisms, the toroidal polyhedron becomes a truncated cuboctahedron. The truncated cuboctahedron is similar, with all regular faces, and 4.6.8 vertex...
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The truncated octahedron was called the "mecon" by Buckminster Fuller. Its dual polyhedron is the tetrakis hexahedron. If the original truncated octahedron...
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arrangement of this compound is shared by a convex nonuniform truncated cuboctahedron, having rectangular faces, alongside irregular hexagons and octagons...
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non-uniform truncated cuboctahedron. Two of the truncated cuboctahedra project to the center of the projection envelope. The remaining 6 truncated cuboctahedra...
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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...
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and a truncated octahedron forms the truncated cuboctahedron, while the Minkowski sum of the cube and the rhombic dodecahedron forms the truncated rhombic...
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Archimedean solid Truncated tetrahedron Cuboctahedron Truncated cube Truncated octahedron Rhombicuboctahedron Truncated cuboctahedron Snub cube Icosidodecahedron...
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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...
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truncated 24-cell. Coxeter's snub terminology is slightly different, meaning an alternated truncation, deriving the snub cube as a snub cuboctahedron...
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Conway polyhedron notation (redirect from Conway truncate 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...
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Archimedean solid Truncated tetrahedron, Cuboctahedron, Truncated cube, Truncated octahedron, Rhombicuboctahedron, Truncated cuboctahedron, Snub cube, Icosidodecahedron...
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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...
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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...
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Uniform polytope (section Truncated forms)
Faces are truncated, doubling their edges. (The term, coined by Kepler, comes from Latin truncare 'to cut off'.) There are higher truncations also: bitruncation...
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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...
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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...
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Order-5 cubic honeycomb (redirect from Truncated order-5 cubic honeycomb)
omnitruncated order-4 dodecahedral honeycomb, , has truncated icosidodecahedron, truncated cuboctahedron, decagonal prism, and octagonal prism cells, with...
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Square tiling honeycomb (redirect from Truncated square tiling honeycomb)
uniform honeycomb in hyperbolic 3-space. It has truncated square tiling, truncated cuboctahedron, and truncated octahedron facets in a mirrored sphenoid vertex...
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palindromic (e.g. {3,3,3} or {3,4,3}), its bitruncation will only have truncated forms of the vertex figure as cells. For higher-dimensional regular polytopes...
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Cantellated tesseract (category Truncated tilings)
images of 6 of the 8 truncated cuboctahedral cells. The other two truncated cuboctahedral cells project to a truncated cuboctahedron inscribed in the projection...
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Cubic-octahedral honeycomb (redirect from Truncated cubic-octahedral honeycomb)
truncated octahedron, truncated cube, rhombicuboctahedron, and truncated cuboctahedron cells, in a rectangular pyramid vertex figure. It has a Coxeter...
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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...
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Cubic honeycomb (redirect from Truncated cubic honeycomb)
bifurcating diagram form can be drawn with two types (colors) of truncated cuboctahedron cells alternating. The dual of the cantitruncated cubic honeycomb...
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