Talk:Chamfered dodecahedron

Alternation?

Glad for additions, but this seems wrong:

The truncated rhombic triacontahedron is more properly an alternation of the rhombic triacontahedron, rather than a uniform truncation of it.

An alternated polyhedron will have half the vertices. It could be most accurately called a alternated truncation, but not an alternation. Tom Ruen 00:21, 30 August 2007 (UTC)[reply]

You're right — I misread the alternation article. Thanks for the correction. So there is no specific name for a truncation that removes alternating vertices but in which the new faces remain nonadjacent from each other? While we're discussing this, is there a name or article for the form of truncation in which one replaces each edge of a polyhedron by a new facet? Sort of like cantellation but without the new facets on the vertices. It seems this polyhedron could be formed in that way from a regular dodecahedron. —David Eppstein 00:36, 30 August 2007 (UTC)[reply]

The Conway polyhedron notation allows a truncation order, and George W. Hart's VRML generator has this operation as t5daD by only truncating order-5 vertices. It isn't complete since it can't work on other polyhedrons, for example, an alternate truncated cube.

You're right on an (unnamed) edge truncation operation here which would make faces smaller like cantellate and replace edges by hexagons. The 30 hexagons here come from the 30 edges of a dodecahedron! Tom Ruen 01:32, 30 August 2007 (UTC)[reply]