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Snub rhombicuboctahedron information


Snub rhombicuboctahedron
Schläfli symbol srr{4,3} =
Conway notation saC
Faces 74:
8+48 {3}
6+12 {4}
Edges 120
Vertices 48
Symmetry group O, [4,3]+, (432) order 24
Dual polyhedron Pentagonal tetracontoctahedron
Properties convex, chiral

The snub rhombicuboctahedron is a polyhedron, constructed as a truncated rhombicuboctahedron. It has 74 faces: 18 squares, and 56 triangles. It can also be called the Conway snub cuboctahedron in but will be confused with the Coxeter snub cuboctahedron, the snub cube.

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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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In geometry, the rhombicuboctahedron, or small rhombicuboctahedron, is a polyhedron with eight triangular, six square, and twelve rectangular faces. There...

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The truncated rhombicuboctahedron is a polyhedron, constructed as a truncation of the rhombicuboctahedron. It has 50 faces consisting of 18 octagons,...

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In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles. It has 60 edges and 24...

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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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layout of the faces of the (small) rhombicuboctahedron under projection to 2 dimensions. The rhombicuboctahedron is also constructed from the cube or...

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to a nonuniform snub cube with chiral octahedral symmetry, a nonuniform rhombicuboctahedron with pyritohedral symmetry (the cantic snub octahedron) and...

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Johnson solid

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solid in question, or between the bases in the case of Bi- solids. A rhombicuboctahedron can thus be described as an elongated square orthobicupola. Gyroelongated[z]...

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Conway polyhedron notation

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Truncated cube tC Truncated octahedron tO = bT Rhombicuboctahedron eC = eO truncated cuboctahedron bC = bO snub cube sC = sO icosidodecahedron aD = aI truncated...

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Truncated rhombicosidodecahedron

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further alternation step leads to the snub rhombicosidodecahedron. Expanded icosidodecahedron Truncated rhombicuboctahedron Eppstein (1996) Eppstein, David...

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List of mathematical shapes

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Cuboctahedron Truncated cube Truncated octahedron Rhombicuboctahedron Truncated cuboctahedron Snub cube Icosidodecahedron Truncated dodecahedron Truncated...

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Catalan solid

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icositetrahedron and the pentagonal hexecontahedron, dual to the chiral snub cube and snub dodecahedron. These each come in two enantiomorphs. Not counting the...

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Rhombicuboctahedral prism

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(small) rhombicuboctahedral hyperprism A related polychoron is the runcic snub cubic hosochoron, also known as a parabidiminished rectified tesseract, truncated...

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List of small polyhedra by vertex count

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Triaugmented dodecahedron 24 Truncated cube Truncated octahedron Rhombicuboctahedron Elongated square gyrobicupola Gyroelongated square bicupola Snub cube...

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Uniform star polyhedron

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their vertex configuration. An additional figure, the pseudo great rhombicuboctahedron, is usually not included as a truly uniform star polytope, despite...

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Square tiling honeycomb

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The runcitruncated square tiling honeycomb, t0,1,3{4,4,3}, has rhombicuboctahedron, octagonal prism, triangular prism and truncated square tiling facets...

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Cube

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In particular we can get regular octagons (truncated cube). The rhombicuboctahedron is obtained by cutting off both corners and edges to the correct...

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Uniform polyhedron

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plagiarized Francesca's work in De divina proportione in 1509, adding the rhombicuboctahedron, calling it an icosihexahedron for its 26 faces, which was drawn...

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Cuboctahedron

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graph. Icosidodecahedron Pseudocuboctahedron Rhombicuboctahedron Truncated cuboctahedron Tetradecahedron Snub cube Notice that the cuboctahedron has four...

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List of uniform polyhedra

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(Nonregulars not given on this list) 67–109: 43 non-convex non-snub uniform 110–119: 10 non-convex snub uniform Chi: the Euler characteristic, χ. Uniform tilings...

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