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Truncated rhombicuboctahedron information


Truncated rhombicuboctahedron
Schläfli symbol trr{4,3} =
Conway notation taaC
Faces 50:
24 {4}
8 {6}
6+12 {8}
Edges 144
Vertices 96
Symmetry group Oh, [4,3], (*432) order 48
Rotation group O, [4,3]+, (432), order 24
Dual polyhedron Disdyakis icositetrahedron
Properties convex, zonohedron

The truncated rhombicuboctahedron is a polyhedron, constructed as a truncation of the rhombicuboctahedron. It has 50 faces consisting of 18 octagons, 8 hexagons, and 24 squares. It can fill space with the truncated cube, truncated tetrahedron and triangular prism as a truncated runcic cubic honeycomb.

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Truncated rhombicuboctahedron

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with the truncated cube, truncated tetrahedron and triangular prism as a truncated runcic cubic honeycomb. Truncated small rhombicuboctahedron Beveled...

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Rhombicuboctahedron

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in his 1618 Harmonices Mundi named this polyhedron a rhombicuboctahedron, being short for truncated cuboctahedral rhombus, with cuboctahedral rhombus being...

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Truncated cuboctahedron

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

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Snub rhombicuboctahedron

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The snub rhombicuboctahedron is a polyhedron, constructed as a truncated rhombicuboctahedron. It has 74 faces: 18 squares, and 56 triangles. It can also...

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Great rhombicuboctahedron

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refer to: Truncated cuboctahedron - an Archimedean solid, with Schläfli symbol tr{4,3}, and Coxeter diagram . Nonconvex great rhombicuboctahedron - a uniform...

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Nonconvex great rhombicuboctahedron

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quadrilateral. This model shares the name with the convex great rhombicuboctahedron, also called the truncated cuboctahedron. An alternative name for this figure is...

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Truncated cube

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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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Truncated tetrahedron

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cube (rhombicuboctahedron), . There are two dual positions of this construction, and combining them creates the uniform compound of two truncated tetrahedra...

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Truncated rhombicosidodecahedron

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In geometry, the truncated rhombicosidodecahedron is a polyhedron, constructed as a truncated rhombicosidodecahedron. It has 122 faces: 12 decagons, 30...

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Octagon

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octagon can be the rhombicuboctahedron with the triangular faces on it like the replaced edges, if one considers the octagon to be a truncated square. The sum...

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Stellated truncated hexahedron

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related to the truncated cube, , except that the square faces become inverted into {8/3} octagrams. Even though the stellated truncated hexahedron is a...

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Expanded cuboctahedron

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its genus, g = (2-χ)/2 is 11. Rhombicuboctahedron (expanded cube) Expanded icosidodecahedron Truncated rhombicuboctahedron A Dissection of the Expanded...

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Archimedean solid

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a 14th polyhedron, the elongated square gyrobicupola (or pseudo-rhombicuboctahedron), meets a weaker definition of an Archimedean solid, in which "identical...

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Runcinated tesseracts

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non-uniform (small) rhombicuboctahedron, with 6 square faces and 12 rectangular faces. Two of the truncated cube cells project to a truncated cube in the center...

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Compound of two truncated tetrahedra

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This uniform polyhedron compound is a composition of two truncated tetrahedra, formed by truncating each of the tetrahedra in the stellated octahedron. It...

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Square tiling honeycomb

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square tiling honeycomb, t0,1,3{4,4,3}, has rhombicuboctahedron, octagonal prism, triangular prism and truncated square tiling facets, with an isosceles-trapezoidal...

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Cantellated tesseract

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projection into 3-dimensional space, small rhombicuboctahedron first: The projection envelope is a truncated cube. The nearest and farthest small rhombicuboctahedral...

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List of mathematical shapes

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Hemi-icosahedron Archimedean solid Truncated tetrahedron Cuboctahedron Truncated cube Truncated octahedron Rhombicuboctahedron Truncated cuboctahedron Snub cube...

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Small rhombihexahedron

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arrangement with the stellated truncated hexahedron. It additionally shares its edge arrangement with the convex rhombicuboctahedron (having 12 square faces...

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Rhombic enneacontahedron

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corollary of the Kepler conjecture: it can be achieved by putting a rhombicuboctahedron in each cell of the rhombic dodecahedral honeycomb, and it cannot...

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Octagram

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three-dimensional version of the octagram is the nonconvex great rhombicuboctahedron (quasirhombicuboctahedron), which can be thought of as a quasicantellated...

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