By the way, don't know if you've seen my MineSweeper3D game, but for N-gons with N >= 5 I subdivide the faces using pentgagons in a similar way. There's one N-gon left in the centre and the rest are pentagons (all pentagons when N = 5).

This image shows 2 levels of subdivision.

https://i.postimg ...

Yep getting all the pentagons planar will be an issue. Might be easier to aim for creating the dual instead, which will be mostly triangles with a few quads. Easier to keep them planar then.

I tried some things and ended up having some success. Here's what I did...

(1) Load a ...

Not sure what count you're referring to. You mean on my webpage with stellation counts for various polyhedra? There are usually trillions, so listing them is not so practical. Or are you referring to individual stellation cells?

guy wrote: Fri Jul 11, 2025 3:34 pmI think you are confusing 2D faces with 3D cells. For example cells c have handed faces but there is only one type of c cell.

No, I think he's referring to the example on my page about Miller's Rules, not the icosahedron.

The "just one case" comment only applies to stellations of the icosahedron. All the interpretations I know of satisfy that for the icosahedron, but differ for other polyhedra. The icosahedron has only one chiral cell, and the "just one case" refers to a stellation consisting of both left and right ...

Hmm, there's two websites in the video, near the start and a different one at the end, and neither work. Looks like he hasn't posted anything on YouTube for 11 years (but hey, it's been 11 years since the last Stella and I'm still planning a new version sometime!).

The system is pretty simple ...

Miller was trying to reduce the set to something manageable, and I suppose reduce the number of impracticle polyhedra. Sure, you could allow all possible combinations of cells, and you'd get 2^N - 1 stellations, for N cells (presuming we skip the empty stellation with no cells selected), so it ...

I'm not familiar with them, but their website makes it look like they're still active.

Be sure to check your spam folder in case their emails went there.

Personally I prefer kits that have face panels as well.

I've used Geomag before, and Stella even has a Geomag rendering mode.
https://www ...

Saw the Numberphile video about the Herschel enneahedron and thought I'd make one in Stella.

https://www.youtube.com/watch?v=3X2aQIMx5bs

Turned out to be pretty easy. Here are the steps.

(1) Start with a triangular prism. You can do this by hitting Ctrl+N (or "File->Polyhedron List" from the menu ...

Ah sorry, I see. Hmm, is it important? I'm not sure why it ends up different, just something being done in a different order, but it does end up with a valid colouring. There's nothing really "correct" about the original colouring. When changing back to the original symmetry, it's kind of free to ...

Nope, not a mistake. The model is recoloured according to the new symmetry. It means that under tetrahedral symmetry, not all squares can be transformed to align with all the other squares.

If you want to maintain the initial colouring though, you can disable "Options->Recolor Sub-symmetries ...

Nope, no list yet. One of the boring admin things I still need to work on will be a list of updates, as well as the documentation, website etc. Yes there's lots of changes, but a lot of time was spent fixing bugs and getting it working with the latest dev tools (the last version was built using dev ...

It's a good idea, but I probably won't get it done before the next release. Maybe a minor release after that.

I imagine fly mode and rotate-around-camera mode would go together wouldn't they? One toggle would change both?

There's lots of possibilities, like moving mouse controls forward linear ...

As it happens, I've already added this as an option for the next version.

For now, the anti-aliasing can be avoided by changing "Over-sampling" to 1 in the export dialog.

OK, NOOOOW I've finally got all the types working, as far as I can tell, for cells, faces, edges and vertices. I made some tests to run through every 4D uniform polytopes (plus others polychora in the library) and do some tests, like confirming that the types identified match between base and dual ...