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