|
gptkbp:instanceOf
|
gptkb:mathematical_concept
|
|
gptkbp:application
|
gptkb:Computer_graphics
gptkb:Topology
gptkb:Crystallography
Combinatorics
Optimization
|
|
gptkbp:class
|
gptkb:Convex_polytopes
gptkb:Non-convex_polytopes
gptkb:Regular_polytopes
Abstract polytopes
Simple polytopes
Simplicial polytopes
Star polytopes
Uniform polytopes
|
|
gptkbp:defines
|
A geometric object with flat sides, generalizing polygons and polyhedra to any number of dimensions
|
|
gptkbp:dimensions
|
2
3
4
n
n-dimensional
|
|
gptkbp:example
|
gptkb:Polygon
gptkb:Cross-polytope
gptkb:Hypercube
gptkb:Simplex
gptkb:4-polytope
|
|
gptkbp:field
|
gptkb:Mathematics
gptkb:geometry
|
|
gptkbp:notation
|
Coxeter-Dynkin diagram
Schläfli symbol
Vertex configuration
Wythoff construction
|
|
gptkbp:property
|
gptkb:Euler_characteristic
gptkb:Facets
gptkb:Faces
Dimension
Cells
Vertices
Volume
Edges
|
|
gptkbp:relatedConcept
|
gptkb:Convex_polytope
gptkb:Polyhedral_combinatorics
gptkb:Regular_polytope
gptkb:Simplicial_complex
gptkb:Star_polytope
gptkb:Uniform_polytope
|
|
gptkbp:relatedTo
|
gptkb:Lattices
Tessellations
Honeycombs
Polygons
Polyhedra
|
|
gptkbp:studiedBy
|
gptkb:Euclid
gptkb:Ludwig_Schläfli
gptkb:H.S.M._Coxeter
|
|
gptkbp:bfsParent
|
gptkb:Xenakis
|
|
gptkbp:bfsLayer
|
6
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Polytopes
|