Because reasons.

Worked out easier in 4D. Would be nice to add for 3D as well and I'll probably add it someday, but there's so many things to do

There isn't currently a specific feature to do that, but you can usually do it another way. One way is to use faceting. Open a Faceting Preview view. Drop to no symmetry or pyramidal symmetry if your dome will still have one axis of symmetry. Create new facets based on half the faces, and create a f...

It exports a single object (lines starting with "o" in the OBJ file), but groups sets of faces together based no colour (lines starting with "g"). So anything you want separate should be a different colour. I don't know why exporting the edges and vertices would make a difference. If you're only int...

There's no dedicated way to create compounds. Some day I'd like to add that. But all the compounds in Stella's library were created somehow using other features in Stella. When adding from memory, you're right, you can only adjust the relative scale, not orientation or centre. One thng you can do th...

Ah, good find! Interesting that there are still faces in the square planes, but they're completely obscured from that viewing angle.

It's certainly standard among people working with polyhedra, to allow intersecting faces. There are also times when they try to avoid it though, such as with the Stewart toroids. Nets are always made of the externally visible parts. Using the full faces would make it impossible to buid the model, si...

You're describing the "facelets" that are visible from outside, but these are all parts of larger equilateral triangles. It's got 20 equilateral faces overall (icosa- means 20), but they are all intersecting each other. Here's a picture with one of the complete faces highlighted: https://i.postimg.c...

Yep, it's labelled wrong. It says it's not used on any pages though.

Where's that photo from? Where did Magnus label is that way? I checked his book Polyhedron Models, and the 14th stellation of the icosidodecahedron matches the link you gave, but not the photo. By the way, you can find all the stellations from Magnus's book in Stella. Go to "File->Polyhedron List" (...

Sounds like you solved this already. Yes you can step through stellations. The automated order in Stella will be different though from the order someone may have come up with elsewhere. Also worth noting that the stellations you get when using the up and down arrows will be different depending on wh...

Why? Four for 4D? I'd rather not confuse people.

It probably doesn't have an official name. There's lots of ways to modify other polyhedra to create something new, and as you noticed this is a modified rhombic dodecahedron. The name you gave it is as good as any.

If someone can provide .stel files for all the new vertex figures, along with their numbers, names and categories, that would help. Have the new discoveries settled down now? Alas the way Stella was written makes it hard to port to Mac or linux. I've looked into it, but it's probably too much work. ...

I tried thah with vertex at centre (squares split into 4 triangles) and the dual worked fine. I also tried faceting the thah to create something with edges through the centre. It worked OK, and a dual appeared, but I'm not sure how such a dual should appear. It did not offer the option to adjust the...

I recall discussing this many years ago. The fundamental issue is that the "interior" of an infinite face is not defined. Polyhedral reciprocation is only equivalent to projective reciprocity for convex solids. Non-convexity introduces anomalies as to the filled-in bits of the face plane, and the s...