Herman Serras wrote:
> 
> Hello,
> The 5 Platonic solids are the only possible CONVEX regular solids. If
> one allows regular solids to be NON-CONVEX there exist (only) 4 more
> types of regular solids. They are known as the Kepler-Poinsot solids.
> On my website http://cage.rug.ac.be/~hs a page is devoted to those
> solids. All images, some of them animated, were produced using POVRAY.
> Although on the web one can find the coordinates of the vertices in a
> numerical form and also the important data concerning the faces ex.
> http://mac.povray.org/download/binaries/uniformia/uniform.html
> I derived this data starting from the underlying dodecahedron or
> icosahedron. The data expressed in an exact form better show the
> appearance of the golden section in all of those solids.
> The paper models of the solids are very nice!
> Friendly greetings,
> Herman
>

When meshes have many triangles, they can appear curved.
The same effect appears to me in pictures of the great icosahedron. 
Some
parts appear slightly curved, but I don't know if they would look that
way
with the actual object, so I'll need to print out cutouts from
http://www.geocities.com/SoHo/Exhibit/5901/ and build it.
I got interested in polyhedras when I borrowed the classic polyhedra
book from the
library (it's the one with the picture of yellow Platonic and
Kepler-Poinsot solids
on the cover jacket and dating back to anywhere from the 1950s to 1970).
That's when I got the idea of making a board game with polyhedra.
I hope to finally figure out a way to build solid polyhedra that would
be suitable
for such as game.
Brendan

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