Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:appliesTo |
higher-dimensional polytopes
three-dimensional polyhedra two-dimensional polygons |
| gptkbp:concerns |
classification of regular polytopes
properties of regular polytopes symmetry of regular polytopes |
| gptkbp:field |
gptkb:geometry
polytope theory |
| gptkbp:hasApplication |
gptkb:theoretical_physics
computer graphics crystallography |
| https://www.w3.org/2000/01/rdf-schema#label |
theory of regular polytopes
|
| gptkbp:includes |
gptkb:Platonic_solids
regular polygons regular polyhedra regular 4-polytopes regular n-polytopes |
| gptkbp:notableContributor |
gptkb:Ludwig_Schläfli
gptkb:H.S.M._Coxeter |
| gptkbp:relatedTo |
symmetry groups
convex polytopes abstract polytopes star polytopes |
| gptkbp:studies |
regular polytopes
|
| gptkbp:uses |
gptkb:topology
group theory combinatorics Schläfli symbol |
| gptkbp:bfsParent |
gptkb:finite_Coxeter_group
|
| gptkbp:bfsLayer |
6
|