|
gptkbp:instanceOf
|
gptkb:geometry
gptkb:mathematical_concept
|
|
gptkbp:class
|
Schläfli symbol
|
|
gptkbp:definedIn
|
gptkb:geometry
all angles are equal
all faces are congruent regular polytopes
vertex figures are regular
|
|
gptkbp:dimensions
|
n-dimensional
|
|
gptkbp:example
|
gptkb:cross-polytope
Platonic solid
regular polyhedron
hypercube
regular polygon
regular 4-polytope
regular simplex
|
|
gptkbp:facet
|
regular polytope
|
|
gptkbp:hasDual
|
convex regular polytope
|
|
gptkbp:hasProperty
|
convexity
regularity
|
|
gptkbp:hasSubgroup
|
convex polytope
regular polytope
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Convex regular polytope
|
|
gptkbp:number_in_2D
|
infinite
|
|
gptkbp:number_in_3D
|
5
|
|
gptkbp:number_in_4D
|
6
|
|
gptkbp:number_in_higher_dimensions
|
3 (for n>4)
|
|
gptkbp:opposedBy
|
gptkb:star_polytope
non-convex regular polytope
|
|
gptkbp:relatedTo
|
gptkb:Weyl_group
gptkb:symmetry
regular tessellation
|
|
gptkbp:studiedBy
|
gptkb:Ludwig_Schläfli
gptkb:H.S.M._Coxeter
|
|
gptkbp:vertex_figure
|
regular polytope
|
|
gptkbp:bfsParent
|
gptkb:Regular_polytope
|
|
gptkbp:bfsLayer
|
6
|