Assertion: polyhedron's face | /r/HasProperty | regular polygons
Facets:
value: in a regular polyhedron
type: OTHER
value: with six or more sides
type: OTHER
value: in a polyhedron of regular faces
type: OTHER
Source sentences:
text: These faces are regular polygons.
text: Semi-regular: vertex-transitive but not edge-transitive, and every face is a regular polygon.
text: This definition rules out, for example, the square pyramid (since although all the faces are regular, the square base is not congruent to the triangular sides), or the shape formed by joining two tetrahedra together (since although all faces of that triangular bipyramid would be equilateral triangles, that is, congruent and regular, some vertices have 3 triangles and others have 4).
text: (This implies that every face is the same regular polygon; it also implies that every vertex is regular.)
text: Convex polyhedra where every face is the same kind of regular polygon may be found among three families:
text: Dodecahedron is a regular polyhedron as the faces of this dodecahedron are congruent and are regular polygons.
text: Furthermore, a cone has one circular base and it does not have nay face because faces are regular polygons, meaning they have straight sides.
text: In classical contexts, many different equivalent definitions are used; a common one is that the faces are congruent regular polygons which are assembled in the same way around each vertex.
text: In a polyhedron of regular faces all the faces of the polyhedron are regular polygons.
text: There exists no polyhedron whose faces are all identical and are regular polygons with six or more sides because the vertex of three regular hexagons defines a plane.
text: Each regular solid has identical faces that are regular polygons.
text: Fig A is a regular polyhedron as all the faces are regular polygons and B is an irregular polygon.
text: The above three hexahedra are the only ones which exist in a version where all 6 faces are regular polygons.
text: They are no longer regular; they are called semi -regular; all faces are regular polygons, but there is more than one polygon in a particular solid, and all vertices are identical.
text: It turns out that each of these isohedrons can be realized as an isohedron whose faces are regular polygons.
text: It turns out that each of these isohedrons can be realized as an isohedron whose faces are regular polygons.
text: It turns out that each of these isohedrons can be realized as an isohedron whose faces are regular polygons.
text: Uniform polyhedra are vertex-transitive and every face is a regular polygon.
text: Semi-regular if it is vertex-transitive but not edge-transitive, and every face is a regular polygon.
text: if it is vertex-transitive but not edge-transitive, and every face is a regular polygon.
text: every face is a regular polygon, i.e. it is regular, quasi-regular or semi-regular.
text: if it is vertex-transitive and every face is a regular polygon, i.e. it is regular, quasi-regular or semi-regular.
text: Uniform polyhedra are vertex-transitive and every face is a regular polygon.
text: every face is a regular polygon.
text: Each face is a regular polygon, and around every vertex the same polygons appear in the same sequence.
text: By the definition here, "A polyhedron which has regular faces and is transitive on its edges is said to be quasiregular", all regular polyhedra are quasiregular.
text: The faces of the pyritohedron are, however, not regular, so the pyritohedron is also not regular.
text: whose (n − 1)-dimensional faces are all regular and congruent, and whose vertex figures are all regular and congruent.
text: Regular if it is vertex-transitive, edge-transitive and face-transitive (this implies that every face is the same regular polygon
text: if it is vertex-transitive, edge-transitive and face-transitive (this implies that every face is the same regular polygon; it also implies that every vertex is regular).
text: In a regular polyhedron all faces are all the same kind of regular polygon, and the same number of faces meet at every vertex .
text: In a regular polyhedron all faces are all the same kind of regular polygon, and the same number of faces meet at every vertex .