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In geometry, the crossed square cupola is one of the nonconvex Johnson solid isomorphs, being topologically identical to the convex square cupola. It can be obtained as a slice of the nonconvex great rhombicuboctahedron or quasirhombicuboctahedron. As in all cupolae, the base polygon has twice as many edges and vertices as the top; in this case the base polygon is an octagram. It may be seen as a cupola with a retrograde square base, so that the squares and triangles connect across the bases in the opposite way to the square cupola, hence intersecting each other.

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  • Crossed square cupola (en)
rdfs:comment
  • In geometry, the crossed square cupola is one of the nonconvex Johnson solid isomorphs, being topologically identical to the convex square cupola. It can be obtained as a slice of the nonconvex great rhombicuboctahedron or quasirhombicuboctahedron. As in all cupolae, the base polygon has twice as many edges and vertices as the top; in this case the base polygon is an octagram. It may be seen as a cupola with a retrograde square base, so that the squares and triangles connect across the bases in the opposite way to the square cupola, hence intersecting each other. (en)
foaf:depiction
  • http://commons.wikimedia.org/wiki/Special:FilePath/Dual_crossed_square_cupola.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/crossed_square_cupola.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Octagonal_prism.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Small_rhombicuboctahedron.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Great_rhombihexahedron.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Prism_8-3.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Uniform_great_rhombicuboctahedron.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Pseudorhombicuboctahedron.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Crossed_square_cupola.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Excavated_octagrammic_prism_A.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Excavated_octagrammic_prism_B.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Monoexcavated_octagrammic_prism.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Great_cubicuboctahedron.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Elongated_square_cupola.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Pseudo-great_rhombicuboctahedron.png
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  • - (en)
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  • In geometry, the crossed square cupola is one of the nonconvex Johnson solid isomorphs, being topologically identical to the convex square cupola. It can be obtained as a slice of the nonconvex great rhombicuboctahedron or quasirhombicuboctahedron. As in all cupolae, the base polygon has twice as many edges and vertices as the top; in this case the base polygon is an octagram. It may be seen as a cupola with a retrograde square base, so that the squares and triangles connect across the bases in the opposite way to the square cupola, hence intersecting each other. (en)
faces
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  • C4, [4]+, (en)
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