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Statements

Subject Item
dbr:Crossed_square_cupola
rdf:type
yago:Abstraction100002137 yago:Shape100027807 yago:Polyhedron113883885 yago:Attribute100024264 yago:Solid113860793
rdfs:label
Crossed square cupola
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.
foaf:depiction
n4:Dual_crossed_square_cupola.png n4:Elongated_square_cupola.png n4:Pseudorhombicuboctahedron.png n4:crossed_square_cupola.png n4:Prism_8-3.png n4:Great_cubicuboctahedron.png n4:Monoexcavated_octagrammic_prism.png n4:Pseudo-great_rhombicuboctahedron.png n4:Uniform_great_rhombicuboctahedron.png n4:Small_rhombicuboctahedron.png n4:Crossed_square_cupola.png n4:Octagonal_prism.png n4:Great_rhombihexahedron.png n4:Excavated_octagrammic_prism_A.png n4:Excavated_octagrammic_prism_B.png
dcterms:subject
dbc:Prismatoid_polyhedra
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dbo:abstract
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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