Assertion: icosahedron's vertex | /r/HasProperty | regular
Facets:
Source sentences:
text: If the vertex figure is a regular polygon, then the vertex itself is said to be regular.
text: The term regular indicates that the faces and vertex figures are regular polygons, e.g., to distinguish the regular dodecahedron (which is a Platonic solid) from the many dodecahedra.
text: (This implies that every face is the same regular polygon; it also implies that every vertex is regular.)
text: A quasi-regular dual is face-transitive and edge-transitive (and hence every vertex is regular) but not vertex-transitive.
text: A semi-regular dual is face-transitive but not vertex-transitive, and every vertex is regular.