I made it out of white cartridge paper back in the 60s.

I'm thinking of making it again, but this time in colour. Presumably six colours for the coplanar pairs of pentagrams, ten colours for the coplanar pairs of triangles, but how many colours will I need for the coplanar pairs of squares?

I took a look at the paper, but didn't get very far. I couldn't see a definition of the parameters a, b and c. Perhaps these are widely understood in the context - not by me, alas.
PeteK

The parameter values are shown by each line drawing. They fit in the formulae in the appendix...

I used ...

I took a look at the paper, but didn't get very far. I couldn't see a definition of the parameters a, b and c. Perhaps these are widely understood in the context - not by me, alas.

Have you considerd cheating ? I don't know how successful this would be, but you could try printing the faces at a ...

I've begun the last of the Icosahedral Isohedra. It is ridiculously difficult to assemble - a wonderful collection of linkages that move the tabs away from each other when the cement has been applied. It's two thirds of the way there. I've had to walk away from it to avoid the temptation of crushing ...

White tab upper right to orange tab upper right, then I worked anti-clockwise. It was slow going, but with the aid of tooth picks and hat pins to manipulate bits into place it wasn't too bad.

I'm dreading the last two with icosahedral symmetry. The penultimate will be easy to assemble using ...

I suspect everybody has flown, but just in case...

http://i112.photobucket.com/albums/n174/oxenholme/IcosahedralIsohedron2a.jpg

http://i112.photobucket.com/albums/n174/oxenholme/IcosahedralIsohedron2b.jpg

http://i112.photobucket.com/albums/n174/oxenholme/IcosahedralIsohedron2c.jpg

It was a ...

First one with octahedral symmetry - in progress, then a couple of views complete...

http://i112.photobucket.com/albums/n174/oxenholme/IsohedronWIP1.jpg
http://i112.photobucket.com/albums/n174/oxenholme/IsohedronWIP2.jpg
http://i112.photobucket.com/albums/n174/oxenholme/OctahedralIsohedron1a ...

Herewith some pics of the isohedra with tetrahedral symmetry...

http://i112.photobucket.com/albums/n174/oxenholme/TetrahedralIsohedra.jpg
http://i112.photobucket.com/albums/n174/oxenholme/TetrahedralIsohedron.jpg

They aren't especially photogenic, but they look quite nice in the display ...

I finished the compound. It looks lovely. To my dismay there was barely enough room for it in the display cabinet. Polyhedra are wonderful at filling up space.

http://i112.photobucket.com/albums/n174/oxenholme/TwoDeltahedrabis.jpg

http://i112.photobucket.com/albums/n174/oxenholme/TwoDeltahedra ...

They do indeed look similar. I love "chiral" polyhedra. My next will be "one of our tetrahedra is missing" - the compound of five minus one.

My mathematics are sadly lacking. Has anybody here got the necessary mathematical ability to translate the equations and values in the paper referenced below into exact x-y co-ordinates or whatever to enable me to draw the faces necessary to make the polyhedra illustrated in Figs 10 thru 13 of the ...

The compound of five octohemioctahedra is a bit of a teaser - all the faces, both triangles and hexagons, are in coplanar pairs. It would be quite a pain to make. The flat central part of each triangle pair will need to be divided into 6 scalene triangles of alternating colours. Each dart shaped ...

The non-convex Archimedean polyhedron sharing the edges, vertices and triangular faces of the cuboctahedron - but having the diametral hexagons in place of the square faces.

I suspect that all the vertices in the compound of five such, dodecahedral symmetry, can be folded without cutting - with ...

This compound has an unusual characteristic - it can be made from 24 pieces of card, each folded to make a vertex as the sum of angles at said vertex is 360 degrees. There is no need to cut and join. Obviously the twinned vertices are different.

The only other polyhedron that I've encountered with ...