Assertion: icosahedron's face | /r/HasProperty | same regular polygon
Facets:
value: in a regular polyhedron
type: OTHER
value: at a point
type: TEMPORAL
Source sentences:
text: Platonic Solids are the most regular polyhedra: all faces are the same regular polygon, and they look the same at every vertex.
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: 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: Semi-regular: vertex-transitive but not edge-transitive, and every face is a regular polygon.
text: Convex polyhedra where every face is the same kind of regular polygon may be found among three families:
text: They are characterized by triangular-shaped faces of the icosahedron with increasing dimensions and faces of dodecahedron having generally the shape of non-regular (but symmetric) decagons, except for the Archimedean truncated dodecahedron (central image) and the icosi-dodecahedron (last image), where such faces are regular decagons and regular pentagons, respectively.
text: A truncated icosahedron is an Archimedean solid comprised of 12 regular pentagonal faces, 20 regular hexagonal faces, 60 vertices and 90 edges.
text: They are characterized by triangular-shaped faces of the icosahedron with increasing dimensions and faces of dodecahedron having generally the shape of non-regular (but symmetric) decagons, except for the Archimedean truncated dodecahedron (central image) and the icosi-dodecahedron (last image), where such faces are regular decagons and regular pentagons, respectively.
text: A truncated icosahedron is an Archimedean solid comprised of 12 regular pentagonal faces, 20 regular hexagonal faces, 60 vertices and 90 edges.
text: It has 14 faces (8 regular hexagonal and 6 square), 36 edges, and 24 vertices.
text: Each face of a Platonic Solid is the same regular sized polygon.
text: The top 5 faces are five regular triangles meeting at a point.
text: (This implies that every face is the same regular polygon; it also implies that every vertex is regular.)
text: Platonic Solids are the most regular polyhedra: all faces are the same regular polygon, and they look the same at every vertex.
text: Since each face is the same regular polygon, the number of edges is the same for each face.
text: Platonic Solids are the most regular polyhedra: all faces are the same regular polygon, and they look the same at every vertex.
text: The plantonic solids are the only convex solids where each face is the same regular polygon.
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: Archimedean solids have faces that are not all the same, but the faces are still regular polygons, and there is the same configuration of faces at each vertex.
text: If the faces of the pentagonal antiprism are all regular, it is a semiregular polyhedron.
text: Uniform polyhedra are vertex-transitive and every face is a regular polygon.
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 .