Statements (38)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:geometry
|
| gptkbp:category |
regular polytopes
4-polytopes |
| gptkbp:dimensions |
4
4D |
| gptkbp:field |
gptkb:geometry
gptkb:mathematics gptkb:topology |
| gptkbp:first_classified |
19th century
|
| https://www.w3.org/2000/01/rdf-schema#label |
Regular 4-polytopes
|
| gptkbp:includes |
gptkb:600-cell
gptkb:120-cell gptkb:16-cell gptkb:24-cell gptkb:5-cell gptkb:8-cell star 4-polytopes |
| gptkbp:number_of_convex_types |
6
|
| gptkbp:number_of_star_types |
10
|
| gptkbp:property |
edge-transitive
vertex-transitive face-transitive all cells are congruent all faces are regular polyhedra cell-transitive |
| gptkbp:relatedConcept |
gptkb:Weyl_group
gptkb:Platonic_solids regular polyhedra Schläfli symbol |
| gptkbp:relatedTo |
regular tessellations
higher-dimensional polytopes regular honeycombs |
| gptkbp:studiedBy |
gptkb:Alicia_Boole_Stott
gptkb:Ludwig_Schläfli |
| gptkbp:visualizes |
projections
cross-sections |
| gptkbp:bfsParent |
gptkb:Regular_polytopes
|
| gptkbp:bfsLayer |
8
|