Statements (95)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Geometric object
|
| gptkbp:alternativeName |
Polyhedron
Polytope polygon polyhedron polytope |
| gptkbp:definedIn |
Convex hull
Set of points Intersection of half-spaces |
| gptkbp:dimensions |
n-dimensional
2D (polygon) 3D (polyhedron) 4D (polychoron) nD (polytope) |
| gptkbp:Euler_characteristic |
gptkb:Euler's_formula
|
| gptkbp:generalizes |
gptkb:Polygon
|
| gptkbp:hasApplication |
gptkb:Computer_graphics
gptkb:Crystallography Linear programming Optimization Mathematical modeling |
| gptkbp:hasDual |
Dual polytope
|
| gptkbp:hasFaceLattice |
Face lattice
|
| gptkbp:hasFacet |
gptkb:Ridge
gptkb:Edge gptkb:Vertex Face Facet |
| gptkbp:hasFacetFigure |
Facet figure
|
| gptkbp:hasProperty |
gptkb:Symmetry
Convexity Combinatorial structure |
| gptkbp:hasType |
gptkb:Convex_polytope
gptkb:Regular_polytope gptkb:Star_polytope gptkb:Uniform_polytope Abstract polytope Simple polytope Simplicial polytope |
| gptkbp:hasVertexFigure |
Vertex figure
|
| https://www.w3.org/2000/01/rdf-schema#label |
Polygon
|
| gptkbp:relatedConcept |
gptkb:Gale_diagram
gptkb:Polyhedral_geometry gptkb:Weyl_group gptkb:flag gptkb:Honeycomb gptkb:Minkowski_sum gptkb:Cross-polytope gptkb:Polyhedral_combinatorics gptkb:Simplex gptkb:Cube gptkb:Polyhedral_theory Tessellation Face poset Polyhedral complex Incidence geometry Associahedron Combinatorial polytope Face lattice Integral polytope Lattice polytope Oriented matroid Permutohedron Polyhedral cone Polyhedral fan Polyhedral graph Polyhedral map Polyhedral realization Polyhedral representation Polyhedral set Polyhedral structure Polyhedral subdivision Polyhedral surface Polyhedral symmetry Polyhedral tiling Polyhedral vertex Polyhedral volume Polyhedral wall Polyhedral zone Polytopal complex Projective polytope Rational polytope Zonotope |
| gptkbp:Schläfli_symbol |
Schläfli symbol
|
| gptkbp:studiedIn |
gptkb:geometry
gptkb:Topology Combinatorics |
| gptkbp:volume |
Polytope volume
|
| gptkbp:bfsParent |
gptkb:USDC
gptkb:Vox_Media gptkb:cryptocurrency gptkb:geometry gptkb:Town gptkb:marina |
| gptkbp:bfsLayer |
4
|