Uniform Truncation
In general any polyhedron (or polytope) can also be truncated with a degree of freedom as to how deep the cut is, as shown in Conway polyhedron notation truncation operation.
A special kind of truncation, usually implied, is a uniform truncation, a truncation operator applied to a regular polyhedron (or regular polytope) which creates a resulting uniform polyhedron (uniform polytope) with equal edge lengths. There are no degrees of freedom, and it represents a fixed geometric, just like the regular polyhedra.
More abstractly any uniform polytope defined by a Coxeter-Dynkin diagram with a single ring, can be also uniformly truncated, although it is not a geometric operation, but requires adjusted proportions to reach uniformity. For example Kepler's truncated icosidodecahedron represents a uniform truncation of the icosidodecahedron. It isn't a geometric truncation, which would produce rectangular faces, but a topological truncation that has been adjusted to fit the uniformity requirement.
Read more about this topic: Truncation (geometry)
Famous quotes containing the word uniform:
“We know, Mr. Weller—we, who are men of the world—that a good uniform must work its way with the women, sooner or later.”
—Charles Dickens (1812–1870)