Some help finding a specific net?

[Philip]

Hello,

I'm interested in making the below polyhedra and having trouble finding the net in Great Stella. Is it correctly named?



I found what is described as the same shape here:

https://polyhedr.com/fourteenth-stellat ... dron2.html

but it looks quite different.

It says it's a 14th stellation. Is there a way to step through each stellation? Also it's called an icosidodecahedron. I've searched all of these and not found it How can it have 4 x 90 degree angles in the centre if it's an icosidodecahedron?

Any help is appreciated. I don't use Great Stella regularly so I'm re-learning the interface each time. It's a bit overwhelming at times so I may have overlooked an easy solution.

Thanks,
Philip

[Philip]

I found how to step through stellations. Up arrow, down arrow.

[robertw]

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 what you choose from the "Stellation->Stellation Criteria" submenu.

Your link shows a very different shape from your photo though. The photo appears to have octahedral symmetry too, not icosahedral. Not sure what it's a stellation of though.

[Philip]

Hi Robert,

yes the picture and picture in the link look very different but they both have the same name. Is the Magnus Wenninger star labeled wrong so do you think?

[robertw]

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" (or the equivalent toolbar button) and type something like w60 and it will go to model 60 from Polyhedron Models, which is that 14th stellation.

[Philip]

Hey,

I got that picture from here: https://commons.wikimedia.org/wiki/File ... hedron.jpg

They must have mis-labelled it. If anyone knows what it's actually called, I'd appreciate the info. Thanks.

[robertw]

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

[Ulrich]

It's the final stellation of the truncated cuboctahedron. You choose face type 3 and stellate it to the end.



Ulrich

[robertw]

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

[Philip]

Brilliant. Thanks Ulrich.