Assertion: polyhedron's polygon | /r/HasProperty | regular
Facets:
value: more importantly
type: DEGREE
value: in the abstract world
type: LOCATION
Source sentences:
text: A polygon is quasi-regular if its symmetry group is transitive on the vertices.
text: A polygon is called regular if all of its sides are the same length, and all the angles between them are the same; the triangle and square in figure 1 and the pentagon in figure 2 are regular.
text: A polygon is quasi-regular if its symmetry group is transitive on the vertices.
text: The convex parallelohedra Regular polyhedra (Platonic solids) are convex polyhedra all faces of which are congruent regular polygons and all polyhedral angles at the vertices are regular and equal (see Fig.
text: All polygons are regular in the abstract world, for example, whereas only those having equal angles and edges of equal length are regular in the classical world.
text: We say that a polygon is regular if all of its sides have the same length, and all of the angles have the same size.
text: The uniform polyhedra are vertex-transitive and only have two faces per edge; more importantly, all the polygons composing these polyhedra are regular.
text: A regular polyhedron is made up of regular polygons.
text: In geometry, a uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).
text: A uniform polyhedron has regular polygons as faces and is vertex-transitive (i.e., there is an isometry mapping any vertex onto any other).
text: A pseudo-uniform polyhedron is a polyhedron which has regular polygons as faces and has the same vertex configuration at all vertices but is not vertex-transitive: it is not true that for any two vertices, there exists a symmetry of the polyhedron mapping the first isometrically onto the second.
text: When all the edges of the polygon are of equal length the polygon is called regular.