Am I right in thinking that what you want is to make each facet as a thick slab with sides cut at the correct angle so they can all glue together with no gaps?
Last time I knew anybody do this, they just had to take the data that Great Stella gave them, and hack the rest manually.

One thing that should be straight forward would be to mark the angles at the ends of tabs. For two-tab people, that's all they'd really need. For us one-tab people, there's always tomorrow.

I saw something along these lines at the Bridges Conference, London 2006. Sorry I can't remember who was giving the presentation, so not much help really.

3katie3 wrote:i'll have to try again.

That didn't display in my browser for some reason, so here it is again:

While I have little knowledge of "sacred geometry" as a discipline, it seems to me that different teachings, cultures, disciplines, cults, sects, religions, whatever, have different figures which they regard as sacred. For example the Pythagoreans had their pentagram. Do you have any particular teac...

ISTR that these two are duals of each other. So you need only load one and view its dual to get both.

The trick should work for any number of sides above 3. Just divide the polygon into two or more pieces, and then add the whole polygon.

What an amazing application of Stella and facetting! Has anybody made a garment from the yarn yet? And will it be woven or knitted?

Here's how I have always understood it: When making a picture frame, you mitre the corner joints at 45 degrees, and may also wish to bevel the edges to make a more pleasant profile than a plain rectangle. So when making a hollow cube from plywood, you would mitre the edges at 45 deg. and join them a...

The Tao of Stella.

(In the religion of Taoism, "Tao" translates loosely as "way" or "path").

Surely second only in wisdom to The Tao of Pooh.

Well, I guess one man's tool to tell you how to fit tabs inside is another man's interactive tab designer. What I envisage is the ability to move tabs around and check whether they need a bit of trimming or similar. For example it might: * keep track of which edge pairs with which, and insist that j...

The example of the four rectangles is not relevant, because it is not addressing how to fill a single polygon but how to fill in between an arbitrary collection of overlapping polygons. That is a an entirely different issue. By the suggested rule, a smooth morph of a nonconvex figure could indeed re...

In response to Rob, I would suggest that another method is possible. It is not necessary to identify "zero density" with "outside and unfilled". We may define "outside" as any (continuous) region of space which contains infinitely many lines which do not meet our polytope. We then understand interio...

Material: card, 120gsm for small models, thicker for larger ones. Scoring: any blunt point that's handy. Cutting: Craft knife for edges, scissors for tabs (I use the single-tab method). Glue: Bostik. It dries very quickly. Mostly, I spread a thin layer on each surface (using tip of tube and fingers)...

Two more books I would recommend, especially if you are interested in spacefilling polyhedra: Williams; The geometrical foundation of natural structure. Written decades ago in a (then) trendy fixed-pitch typewriter font. But it is still a standard reference for the Archimedean polyhedra and their sp...

It depends on whether you want the dual to be exactly like the one Stella provides (there are various kinds of dual). If you cut the corners off a Platonic polyhedron (truncate it), the cut surfaces are just like the faces of the dual. This is why the cuboctahedron and icosidodecahedron work. If you...