Search found 12 matches

by metachirality
Sun Jan 05, 2020 3:09 pm
Forum: Stella Feature Requests
Topic: Truncation Rotation
Replies: 7
Views: 25000

Re: Truncation Rotation

I know the last comment is more than a decade old, but I want this.
by metachirality
Wed Dec 25, 2019 9:37 pm
Forum: Polyhedra
Topic: How hard would it be to compute true filling?
Replies: 5
Views: 2501

Re: How hard would it be to compute true filling?

The empty space around the polyhedron is also considered as a region. For orientable polyhedra, this is the same as density filling, for non-orientables its more complicated. For uniform polyhedra I think that binary filling works, but for other polyhedra which are non-orientable but not uniform, it...
by metachirality
Tue Dec 24, 2019 3:47 pm
Forum: Polyhedra
Topic: How hard would it be to compute true filling?
Replies: 5
Views: 2501

Re: How hard would it be to compute true filling?

No, I mean if you had a four-shaped thing and transformed it so that it didn't intersect itself, you would've transformed the even density region in the four's intersection into an odd density region.
by metachirality
Mon Dec 23, 2019 11:09 pm
Forum: Polyhedra
Topic: How hard would it be to compute true filling?
Replies: 5
Views: 2501

How hard would it be to compute true filling?

True filling is filling regions of a polytope if they can be continuously transformed into a region of odd density. How feasible is this in practice?
by metachirality
Sun Dec 22, 2019 3:00 pm
Forum: Stella Feature Requests
Topic: More faceting criteria
Replies: 4
Views: 1853

Re: More faceting criteria

Not being tame is weird. Pseudofaces look like exotic polygons (more than 2 edges per vertex) and their shells (locally convex hulls retaining the edges of a polytope) are exotic as well which is why some people think they should be excluded from polyhedron definitions. Only allowing tame polychora ...
by metachirality
Sat Dec 21, 2019 8:05 pm
Forum: Stella Feature Requests
Topic: Ability to change default autocolor scheme
Replies: 1
Views: 1125

Ability to change default autocolor scheme

The autocolor color scheme is a bit of an eyesore I don't see a way to change it. My only other option is to change colors manually which is tedious and not practical so I just want to be able to change the default color scheme.
by metachirality
Sat Dec 21, 2019 4:00 pm
Forum: Stella Feature Requests
Topic: Ability to facet vertex figures/edge facet
Replies: 3
Views: 1779

Re: Ability to facet vertex figures/edge facet

Both ideas are the same actually, since the vertices of a vertex figure correspond to edges on a polyhedron. For 4d polychora, you might also want to implement the ability to edge facet vertex figures, to have polychora which share the same faces.
by metachirality
Sat Dec 21, 2019 3:58 pm
Forum: Stella Feature Requests
Topic: More faceting criteria
Replies: 4
Views: 1853

Re: More faceting criteria

Here is a good demonstration of the principle of non-regular vertex transitive faces and of having three or more coplanar edges that meet on a vertex. The yellow faces have vertex transitivity (with a 2-fold dihedral symmetry) even though there are two edge lengths. The red faces are also transitive...
by metachirality
Sat Dec 21, 2019 12:10 am
Forum: Stella Forum
Topic: How to you make base polyhedron view stels
Replies: 1
Views: 1217

How to you make base polyhedron view stels

I've been trying to make stel files with the silver rods and golden spheres but I don't know how to do it. I wanted a faceting of a polyhedron but I don't know how to transform it into base polyhedron view.
by metachirality
Sat Dec 21, 2019 12:04 am
Forum: Polyhedra
Topic: Super-holey faceting of icosahedron
Replies: 0
Views: 2104

Super-holey faceting of icosahedron

I found this polyhedron while going through facetings of the snub tetrahedron/icosahedron. Has anyone seen this before? I find this faceting to be especially odd as it is toroidal, nonconvex but has no intersections, and there are pieces which are connected only by points. https://cdn.discordapp.com...
by metachirality
Fri Dec 20, 2019 10:16 pm
Forum: Stella Feature Requests
Topic: Ability to facet vertex figures/edge facet
Replies: 3
Views: 1779

Ability to facet vertex figures/edge facet

I think it would be pretty useful if you can facet vertex figures, or have a faceting which retains the edges of a polytope.
by metachirality
Fri Dec 20, 2019 10:11 pm
Forum: Stella Feature Requests
Topic: More faceting criteria
Replies: 4
Views: 1853

More faceting criteria

A faceting criterion to exclude non-tame polyhedra (no three edges which meet at a vertex are coplanar) and a faceting criterion to exclude any polyhedron with non-vertex-transitive faces. The only criterion which reduces the amount of polyhedra found by faceting by a significant amount is "Isohedra...