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Kepler–Poinsot polyhedron
URI:
https://gptkb.org/entity/Kepler–Poinsot_polyhedron
GPTKB entity
Statements (35)
Predicate
Object
gptkbp:instanceOf
gptkb:Polygon
nonconvex regular polyhedron
gptkbp:category
gptkb:regular_star_polyhedra
gptkb:uniform_polyhedra
gptkbp:discoveredBy
gptkb:Louis_Poinsot
gptkb:Johannes_Kepler
gptkbp:Euler_characteristic
not 2 (due to nonconvexity)
gptkbp:faced
varies by type
gptkbp:faceType
regular polygons
gptkbp:firstDescribed
early 17th century
gptkbp:hasDuals
yes
https://www.w3.org/2000/01/rdf-schema#label
Kepler–Poinsot polyhedron
gptkbp:includes
gptkb:great_dodecahedron
gptkb:great_icosahedron
gptkb:great_stellated_dodecahedron
gptkb:small_stellated_dodecahedron
gptkbp:namedAfter
gptkb:Louis_Poinsot
gptkb:Johannes_Kepler
gptkbp:numberOfSides
varies by type
gptkbp:relatedTo
Platonic solid
gptkbp:studiedIn
gptkb:geometry
gptkbp:symmetry
icosahedral symmetry
gptkbp:type
4
gptkbp:usedIn
mathematical art
theoretical geometry
gptkbp:vertices
varies by type
gptkbp:bfsParent
gptkb:great_dodecahedron
gptkb:great_icosahedron
gptkb:great_stellated_dodecahedron
gptkb:small_stellated_dodecahedron
gptkb:Great_dodecahedron
gptkb:Great_icosahedron
gptkb:Great_stellated_dodecahedron
gptkb:Small_stellated_dodecahedron
gptkbp:bfsLayer
7