software3d.com

I am wondering if there might be someone out there who can help with a question I have.

If you take an Archimedean Polyhedron (say an Icosidodecahedron) and remove some of the polygon faces (say all of the pentagons), leaving the vertices, such that you make "holes", do these type of objects have systematic names, and where might I find out more information about them?

I do not think there is any serious mathematical approach to them, they are just symmetrical shapes which look a bit like polyhedra and have the same symmetries.

Technically they are finite bounded manifolds whose boundary is disjoint, but that applies to anything with holes punched through its surface.

But if you like making lampshades, they are much more interesting.