I wonder .... do you still have copies of your drawings for the net for the four tetrahedra?

I do not throw things away, but I have yet to locate them. They will turn up eventually!

Meanwhile, I wonder whether compounds obtained this way can be generated by Stella?

While I was looking for my ...

Dinogeorge wrote:Yike! A blast from the past! Did you use my computer-generated nets for the yog-sothoth?

I wondered whether it might be you!!!

Yes, I used them, and I still have them. My yog-sothoth is approx 23.25 inches circumspherically.

Five Tetrahedra is second from the right on the top shelf...

The compound that you've picked out is Four Tetrahedra - each is rotated 30° by vertex or opposite face from a hypothetical base tetrahedron.

I drew the polyhedron on 14th July 1997 from scratch and then worked out the net, again from ...

Squeaky!

There are many packages for manipulating images - I find Irfanview to be excellent.

That torus looks wonderful...

Around 1961 form master "Bert" Robinson at Bradford Grammar School had some beautifully constructed polyhedra on display in the classroom - the four I remember were Great Dodecahedron, Great Dodecadodecahedron, Great Icosidodecahedron and Icosahedron.

His source was Mathematical Models by H Martyn ...

I've emailed Branko with a hyperlink for this thread.

I have the paper in hardcopy only. If all else fails I will see whether I can get someone to scan it for me.

One of the stellations of the pentagonal hexecontahedron (dual of snub dodecahedron) looks very similar to one of the solids concerned ...

Vertically is with respect to vertices...

http://www.math.washington.edu/~grunbaum/

The polyhedra are not necessarily stellations, though very similar solids can sometimes be arrived at by stellating.

I obtained the paper on them from Branko himself, having read about them in a general book on ...

I would dearly love to see Stella provide the facial planes for the Vertically Transitive polyhedra described by Branko Grünbaum.

Their faces are non-convex pentagons, there are examples of each type for all symmetry groups (tetrahedral, octahedral and icosahedral), and they are chiral - i.e ...