Been playing with Google's free 3D modeling program SketchUp. Was given David Springett's book "Woodturning Full Circle" - that got my head spinning - and then making some virtual 3D models of some of what I THINK he's playing with - Streptohedrons. (Femispheres are one type of streptohedron). This is a VERY interesting area of woodturning to explore - with unlimited possibilities. The mental leap needed to understand these things is to make the shift from thinking of turnings in terms of Single Axis Symetry and Profiles - to - Cross Sections and Twists.
Here's the link to the "Streptohedron Table of Content from which you can get to Equilaticons, Isocones, Femispheres, Pentacons and Hexacon (that's as far as I've gottem so far).