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Statements

Subject Item
dbr:Crossed_pentagrammic_cupola
rdf:type
yago:Solid113860793 yago:Abstraction100002137 yago:Shape100027807 yago:Polyhedron113883885 yago:Attribute100024264
rdfs:label
Crossed pentagrammic cupola
rdfs:comment
In geometry, the crossed pentagrammic cupola is one of the nonconvex Johnson solid isomorphs, being topologically identical to the convex pentagonal cupola. It can be obtained as a slice of the great rhombicosidodecahedron or quasirhombicosidodecahedron. As in all cupolae, the base polygon has twice as many edges and vertices as the top; in this case the base polygon is a decagram. It may be seen as a cupola with a retrograde pentagrammic base, so that the squares and triangles connect across the bases in the opposite way to the pentagrammic cuploid, hence intersecting each other more deeply.
foaf:depiction
n10:crossed_pentagrammic_cupola.png n10:Dual_crossed_pentagrammic_cupola.png n10:Great_rhombidodecahedron.png n10:Uniform_great_rhombicosidodecahedron.png n10:Great_dodecicosidodecahedron.png n10:Crossed_pentagrammic_cupola.png
dcterms:subject
dbc:Prismatoid_polyhedra
dbo:wikiPageID
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dbo:wikiPageRevisionID
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dbo:wikiPageWikiLink
dbr:Decagram_(geometry) dbr:Johnson_solid n5:Crossed_pentagrammic_cupola.png dbr:Pentagrammic_cuploid n5:Dual_crossed_pentagrammic_cupola.png dbr:Geometry dbr:Pentagram dbr:Vertex_(geometry) dbr:Great_rhombidodecahedron dbr:Triangle dbr:Pentagonal_cupola dbr:Great_dodecicosidodecahedron dbr:Square_(geometry) dbr:Polygon dbc:Prismatoid_polyhedra dbr:Edge_(geometry) n5:Uniform_great_rhombicosidodecahedron.png dbr:Nonconvex_great_rhombicosidodecahedron n5:Great_dodecicosidodecahedron.png n5:Great_rhombidodecahedron.png dbr:Cupola dbr:Cupola_(geometry)
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n4:Q5-3.php n8:edge-facetings_color.pdf n20:qrid1.html n22:cupola3.html
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n12:fpwT freebase:m.010fkypt wikidata:Q17008206
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dbt:Star-cupolae dbt:More_footnotes_needed dbt:Infobox_polyhedron
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n10:crossed_pentagrammic_cupola.png?width=300
dbp:dual
-
dbp:schläfli
{5/3} || t{5/3}
dbp:edges
25
dbp:symmetry
C5v, [5],
dbp:type
Johnson isomorph dbr:Cupola
dbp:vertices
15
dbo:abstract
In geometry, the crossed pentagrammic cupola is one of the nonconvex Johnson solid isomorphs, being topologically identical to the convex pentagonal cupola. It can be obtained as a slice of the great rhombicosidodecahedron or quasirhombicosidodecahedron. As in all cupolae, the base polygon has twice as many edges and vertices as the top; in this case the base polygon is a decagram. It may be seen as a cupola with a retrograde pentagrammic base, so that the squares and triangles connect across the bases in the opposite way to the pentagrammic cuploid, hence intersecting each other more deeply.
dbp:faces
5 1
dbp:rotationGroup
C5, [5]+,
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