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Truncated square antiprism information


Truncated square antiprism
Type Truncated antiprism
Schläfli symbol ts{2,8}
tsr{4,2} or
Conway notation tA4
Faces 18: 2 {8}, 8 {6}, 8 {4}
Edges 48
Vertices 32
Symmetry group D4d, [2+,8], (2*4), order 16
Rotation group D4, [2,4]+, (224), order 8
Dual polyhedron
Properties convex, zonohedron

The truncated square antiprism one in an infinite series of truncated antiprisms, constructed as a truncated square antiprism. It has 18 faces, 2 octagons, 8 hexagons, and 8 squares.

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Truncated square antiprism

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The truncated square antiprism one in an infinite series of truncated antiprisms, constructed as a truncated square antiprism. It has 18 faces, 2 octagons...

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Square antiprism

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In geometry, the square antiprism is the second in an infinite family of antiprisms formed by an even-numbered sequence of triangle sides closed by two...

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Gyroelongated square bipyramid

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gyroelongated square bipyramid is a polyhedron with 16 triangular faces. it can be constructed from a square antiprism by attaching two equilateral square pyramids...

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Square tiling honeycomb

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cantitruncated order-4 square tiling honeycomb, tr{4,4,4}, . The bitruncated square tiling honeycomb, 2t{4,4,3}, has truncated cube and truncated square tiling facets...

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Cubic honeycomb

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isosceles square pyramid vertex figure. John Horton Conway calls this honeycomb a truncated cubille, and its dual pyramidille. The truncated cubic honeycomb...

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Octahedron

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also a rectified tetrahedron, a square bipyramid in any of three orthogonal orientations, and a triangular antiprism in any of four orientations. An octahedron...

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Truncated icosidodecahedron

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are not prisms or antiprisms, it has the largest sum of angles (90 + 120 + 144 = 354 degrees) at each vertex; only a prism or antiprism with more than 60...

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Dodecahedron

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kites, dual of hexagonal antiprism, D6d symmetry, order 24 Triakis tetrahedron – 12 isosceles triangles, dual of truncated tetrahedron, Td symmetry,...

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Decahedron

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have regular faces: Octagonal prism (uniform 8-prism) Square antiprism (uniform 4-antiprism) Square cupola (Johnson solid 4) Pentagonal bipyramid (Johnson...

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Truncated octahedron

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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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Triangular prism

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prismatic honeycomb, snub square prismatic honeycomb, triangular prismatic honeycomb, triangular-hexagonal prismatic honeycomb, truncated hexagonal prismatic...

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Hexagon

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edges of a triangular antiprism with the same D3d, [2+,6] symmetry, order 12. The cube and octahedron (same as triangular antiprism) have regular skew hexagons...

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Johnson solid

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snub antiprisms can be constructed as an alternation of a truncated antiprism. The gyrobianticupolae are another construction for the snub antiprisms. Only...

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Icosahedral honeycomb

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pentagonal antiprism vertex figure. Viewed from center of triangular prism The runcitruncated icosahedral honeycomb, t0,1,3{3,5,3}, , has truncated icosahedron...

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Octagon

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eight) The truncated square tiling has 2 octagons around every vertex. An octagonal prism contains two octagonal faces. An octagonal antiprism contains...

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List of mathematical shapes

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Archimedean tiling Square tiling Triangular tiling Hexagonal tiling Truncated square tiling Snub square tiling Trihexagonal tiling Truncated hexagonal tiling...

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Pentagonal antiprism

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obtained. The pentagonal antiprism can be truncated and alternated to form a snub antiprism: A crossed pentagonal antiprism is topologically identical...

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Square pyramid

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calculating the volume of a truncated square pyramid, suggesting that they were also acquainted with the volume of a square pyramid, but it is unknown...

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Icositetragon

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dodecagonal antiprism with the same D12d, [2+,24] symmetry, order 48. The dodecagrammic antiprism, s{2,24/5} and dodecagrammic crossed-antiprism, s{2,24/7}...

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Conway polyhedron notation

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Triangular antiprism: A3 (An octahedron is a special antiprism) O = A3 C = dA3 Square prism: P4 (A cube is a special prism) C = P4 Pentagonal antiprism: A5 I...

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Metabiaugmented truncated dodecahedron

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prisms, or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966. Weisstein, Eric W., "Metabiaugmented truncated dodecahedron"...

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Snub polyhedron

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with the icosahedron: the pentagonal antiprism is a parabidiminished icosahedron and a pentagrammic crossed-antiprism is a parabidiminished great icosahedron...

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