Matches in DBpedia 2014 for { ?s ?p In geometry, a cantellation is an operation in any dimension that cuts a regular polytope at its edges and vertices, creating a new facet in place of each edge and vertex. The operation also applies to regular tilings and honeycombs. This is also rectifying its rectification.It is represented by an extended Schläfli symbol t0,2{p,q,...} or rr{p,q,...}.For polyhedra, a cantellation operation offers a direct sequence from a regular polyhedron and its dual.This operation (for polyhedra and tilings) is also called expansion by Alicia Boole Stott, as imagined by taking the faces of the regular form moving them away from the center and filling in new faces in the gaps for each opened vertex and edge.Example cantellation sequence between a cube and octahedron For higher-dimensional polytopes, a cantellation offers a direct sequence from a regular polytope and its birectified form. A Cuboctahedron would be a cantellated Tetrahedron, as another example.. }
Showing items 1 to 1 of
1
with 100 items per page.
- Cantellation_(geometry) abstract "In geometry, a cantellation is an operation in any dimension that cuts a regular polytope at its edges and vertices, creating a new facet in place of each edge and vertex. The operation also applies to regular tilings and honeycombs. This is also rectifying its rectification.It is represented by an extended Schläfli symbol t0,2{p,q,...} or rr{p,q,...}.For polyhedra, a cantellation operation offers a direct sequence from a regular polyhedron and its dual.This operation (for polyhedra and tilings) is also called expansion by Alicia Boole Stott, as imagined by taking the faces of the regular form moving them away from the center and filling in new faces in the gaps for each opened vertex and edge.Example cantellation sequence between a cube and octahedron For higher-dimensional polytopes, a cantellation offers a direct sequence from a regular polytope and its birectified form. A Cuboctahedron would be a cantellated Tetrahedron, as another example.".