On Mon, Mar 26, 2018, at 4:04 PM, David Mitchell wrote:


> There are also the triakis polyhedra which can be derived through this 
> process, though they appear to be special instances

I believe the -kis polyhedra (triakis, tetrakis, pentakis) are derived by 
raising the centers of the faces of the original polyhedra so as to form 
triangular faces of a constant  dihedral angle. By contrast, some of the 
Archimedean solids have different dihedrals depending on which types of 
polygons meet at an edge.

The website http://dmccooey.com/polyhedra/ has interactive models of hundreds 
of polyhedra in amazingly abstruse categories, and exhaustive data on each. The 
interface could be a little more user friendly, but clicking on the boxes and 
playing around a bit is worth the effort. 

Scott 

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