Assertion: icosahedron's number | /r/CapableOf | meet at each vertex
Facets:
value: for each platonic solid
type: OTHER
Source sentences:
text: But the first interesting classification theorem was the classification of regular polyhedra: convex polyhedra with equilateral polygons as faces, and the same number of faces meeting at each 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 .
text: A solid is regular if all planes (or faces) are the same, and the same number of planes meet at each corner (or vertex).
text: A regular polyhedron is identified by its Schläfli symbol of the form {n, m}, where n is the number of sides of each face and m the number of faces meeting at each vertex.
text: For each Platonic Solid, the same numbers of polygons or faces meet at each vertex or corner.
text: The octahedron is unique among the Platonic solids in having an even number of faces meeting at each vertex.
text: A Platonic solid is a polyhedron, or 3 dimensional figure, in which all faces are congruent regular polygons such that the same number of faces meet at each vertex.
text: A platonic solid is a polyhedron all of whose faces are congruent regular polygons, and where the same number of faces meet at every vertex.
text: The Platonic solids or Platonic polyhedra are the convex polyhedra where all faces are copies of the same regular polygon, and the same number of edges meet at every vertex.