Hi, This is not an easy figure to construct. Some dimensions are arbitrary, but there are some determined relationships too. I find the maths to be awkwardly developed. Personally, if I were working out coordinates I would use polar in the XY plane and Cartesian in the Z. And if you don't understand...

OK, I have now read Gilson's book. Sadly I can recommend it only to the most hardened polyhedron enthusiast (like me) ;) . Others will find it badly wanting. Its approach purports to be based on symmetry, and to focus on polyhedra having a single major axis of symmetry, such as a regular prism. It i...

Thanks for the heads-up. I just ordered my copy before replying

@Kathy, Yes, I can see it fine - and if my clunky box can see it, most anybody can. Lovely model! As a follow-up to my previous post, I am told that it does not have a regular "abstract" structure. In fact it is possibly the only known noble and self-dual polyhedron that is not regular in structure.

Its self-duality just made me realise that its abstract form appears to be regular, so we could write it as {5 5} V-E+F = 24-60+24 = -12 so topologically it is a toroid of genus (2-(-12))/2 = 7 (where V = number of vertices, E = number of edges, F = number of faces). I wonder if this regular abstrac...

What kind of translator ignores ne ... pas ?

I don't use CNC either

Ten cubes? Aren't there four of each colour, making 4 x 5 = 20 in all?

Have you tried gluing the plywood polygons together? Might need reinforcing strips behind each joint, pre-glued to one polygon like tabs on a paper model. Those would also need to be carefully profiled with the right angle.

I presume that question's for Guy? I only make models from paper. Just wanted to answer the part of the question I could :) No, I don't post images of real models (except the odd icosahedron in a museum that I think may have been made by H.T. Flather of Coxeter, Du Val, Flather and Petrie fame). An...

Well, the wood will be thinnest in the corners and thickest at the centre of each piece. Assuming you want at least 1/2" everywhere, you need to: Take the difference between the inradius (radius of the sphere tangent to the faces at their centres) and the out- or exradius (of the sphere tanget to th...

Stella uses OpenGL (the Open Graphics Library) for rendering. AFAIK this is just like the real world in that it needs a light source or everything looks black. The 3D rotation, perspective and stuff is also handled by OpenGL, so decoupling the colour from the rest of the software might be a problem....

I'm guessing that with no light source, things would get pretty black. I'm also guessing that any polychromatic light source will have consequences for one form of colour-blindness or another. How about an option for a monochromatic light source to match the raw pixels - choice of red, green or blue.

You must be feeling eight miles high (though I prefer the 20 minute live version on the untitled album).

You have your X, Y and Z axes. How do you go beyond these? Mathematically it is really easy, you just add a W axis at right angles to all the others. When you project a 3-D object onto the X-Y plane (say a computer screen), you just forget the Z dimension. Similarly, to project a 4-D object onto th...

Around a century ago, when extra dimensions first became popularised, people investigated these issues. There is some evidence that Picasso used time and cubism as analogues of the fourth dimension - he was certainly fascinated by it. One painting has a succession of figures as if caught in multiple...