Search found 140 matches

by Ulrich
Mon Mar 15, 2021 7:37 am
Forum: Polyhedra
Topic: Sharpohedron
Replies: 18
Views: 737

Re: Sharpohedron

Up to now the best one imho was this:

https://tunnissen.eu/polyh/local_off.ht ... istance=15

but now I think that snub one beats all!
by Ulrich
Sun Mar 14, 2021 4:35 pm
Forum: Polyhedra
Topic: Sharpohedron
Replies: 18
Views: 737

Re: Sharpohedron

The penultimate is the best.
by Ulrich
Thu Mar 11, 2021 3:19 pm
Forum: Polyhedra
Topic: Sharpohedron
Replies: 18
Views: 737

Re: Sharpohedron

I found your model on page 41 of Wenzel Jamnitzer‘s Perspectiva Corporum Regularium: https://digital.slub-dresden.de/werkansicht/dlf/12830/41/0/ He drew a compound of it with an octahedron inside, the spikes of which are looking through the central squares of the crosses, building 4-fold pyramids on...
by Ulrich
Wed Mar 10, 2021 4:01 pm
Forum: Polyhedra
Topic: Sharpohedron
Replies: 18
Views: 737

Re: Sharpohedron

That‘s very nice! I never saw it before. It‘s a truncated octahedron augmented by 8 triangular cupolae (j3).
Switzerland should take a gif file of this rotating model as a flag on their website schweiz.ch.
Ulrich
by Ulrich
Wed Feb 24, 2021 5:10 pm
Forum: Stella Forum
Topic: New Feature: 3D Printing App?
Replies: 10
Views: 667

Re: New Feature: 3D Printing App?

You can try to augment the faces with thin prisms and then export a stl-file. It's a bit complicated and the result isn't very exact, but it should work.

Image Image

Ulrich
by Ulrich
Mon Feb 08, 2021 6:39 am
Forum: Stella Forum
Topic: Enantiomer of the Pentagonal Hexecontahedron
Replies: 2
Views: 256

Re: Enantiomer of the Pentagonal Hexecontahedron

Try in the poly-menue: add model to mirror image.

Ulrich
by Ulrich
Mon Dec 14, 2020 5:20 pm
Forum: Polyhedron Models
Topic: Model of new noble polyhedron
Replies: 0
Views: 931

Model of new noble polyhedron

This is a paper model I made of a noble polyhedron senkoquartz discovered lately.
It‘s not very neat because I made it quickly with bad paper. I‘ll make a new one later.

Ulrich
Image
by Ulrich
Wed Dec 02, 2020 3:40 pm
Forum: Polyhedra
Topic: Two new noble polyhedra - a new source of convex hulls to search from?
Replies: 18
Views: 2680

Re: Two new noble polyhedra - a new source of convex hulls to search from?

Oh, sorry, you're right, it's the same. I didn't look carefully.
by Ulrich
Wed Dec 02, 2020 11:56 am
Forum: Polyhedra
Topic: Two new noble polyhedra - a new source of convex hulls to search from?
Replies: 18
Views: 2680

Re: Two new noble polyhedra - a new source of convex hulls to search from?

In the meantime I found one more pair. It is derived from an augmented dodecahedron:

Image

Image
by Ulrich
Wed Dec 02, 2020 8:16 am
Forum: Polyhedra
Topic: Two new noble polyhedra - a new source of convex hulls to search from?
Replies: 18
Views: 2680

Re: Two new noble polyhedra - a new source of convex hulls to search from?

I struggled with the cubic ones some time ago. Trying to reproduce Bückners 24,3 I faceted a rhombic cuboctahedron in a way Branko Grünbaum described years ago. In the preview window everything looks allright but if I hit shift ctrl F the face is splitted to coplanar triangles and I get 12 disphenoi...
by Ulrich
Mon Nov 30, 2020 7:34 am
Forum: Polyhedra
Topic: Two new noble polyhedra - a new source of convex hulls to search from?
Replies: 18
Views: 2680

Re: Two new noble polyhedra - a new source of convex hulls to search from?

Great!

I tried starting from geodesic spheres and many different bodies created with the morphing tools. Thus we get trillions of isogonal polyhedra but all isohedral facetings from these were crowns and disphenoids. All this is poking in the fog.

Ulrich
by Ulrich
Mon Nov 23, 2020 8:59 am
Forum: Polyhedra
Topic: Two new noble polyhedra - a new source of convex hulls to search from?
Replies: 18
Views: 2680

Re: Two new noble polyhedra - a new source of convex hulls to search from?

senkoquartz, your latest discoveries brought me to the following: I augmented the icosahedron with pyramids, faceted it isohedral and faceted the duals of the convex hulls of the results again. Thus I found four more noble polyhedra: https://i.postimg.cc/sBRmDPYB/Faceted-Stellated-Dual-of-Augmented-...
by Ulrich
Sat Nov 21, 2020 8:50 am
Forum: Polyhedra
Topic: Two new noble polyhedra - a new source of convex hulls to search from?
Replies: 18
Views: 2680

Re: Two new noble polyhedra - a new source of convex hulls to search from?

Ah, thanks, I got it now. The first one is really great with its pentagonal faces and I'm eager to build it in paper.

Ulrich
by Ulrich
Wed Nov 18, 2020 1:58 pm
Forum: Polyhedra
Topic: Two new noble polyhedra - a new source of convex hulls to search from?
Replies: 18
Views: 2680

Re: Two new noble polyhedra - a new source of convex hulls to search from?

I was not able to reproduce this with my equipment because stella always crashes when I try to create an isohedral faceting of the small retrosnub icosicosidodecahedron's dual or its convex hull. Could you describe how you managed to do so?

Thanks
Ulrich
by Ulrich
Sun Sep 27, 2020 7:27 am
Forum: Polyhedra
Topic: What are your favorite polyhedra?
Replies: 5
Views: 1690

Re: What are your favorite polyhedra?

These are beautiful models and very pretty polyhedra/polytopes! To me it is difficult to say which one is my favorite polyhedron. It changes all day and every model I finished is my favorite one for some time. In principle, I love all uniform ones. And one of my favorite is the rhombic triacontahedr...