Quickfur's renders

Discussion of tapertopes, uniform polytopes, and other shapes with flat hypercells.

Re: Quickfur's renders

Postby quickfur » Tue May 01, 2018 8:10 pm

This month's Polytope of the Month is the runcinated snub 24-cell:

Image

Nothing new here, but this is the last of the known scaliform polychora on my website, so it seems like a natural thing to follow after spidrox. Some of my favorite renders:

Image

(showing the pyritohedral symmetry of the cupolae)

Image

(showing the cells that lie on the projection envelope).
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Re: Quickfur's renders

Postby username5243 » Tue May 01, 2018 11:03 pm

quickfur wrote:Nothing new here, but this is the last of the known scaliform polychora on my website, so it seems like a natural thing to follow after spidrox.


Actually, there's one more convex scaliform polytope you haven't posted yet - tutcup (truncated tetrahedral cupolipirsm), which has 2 truncated tetrahedra, 6 tetrahedra, and 8 triangular cupolae. It is a segmentotope whose bases are two oppositely oriented truncated tetrahedra.
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Re: Quickfur's renders

Postby quickfur » Tue May 01, 2018 11:40 pm

username5243 wrote:
quickfur wrote:Nothing new here, but this is the last of the known scaliform polychora on my website, so it seems like a natural thing to follow after spidrox.


Actually, there's one more convex scaliform polytope you haven't posted yet - tutcup (truncated tetrahedral cupolipirsm), which has 2 truncated tetrahedra, 6 tetrahedra, and 8 triangular cupolae. It is a segmentotope whose bases are two oppositely oriented truncated tetrahedra.

Ooh! Thanks for the tip! I'll be sure to post that next month! :lol: :nod:

Are all of the convex scaliforms already known? Or are these only the currently-known ones?
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Re: Quickfur's renders

Postby Mercurial, the Spectre » Fri May 11, 2018 5:01 pm

quickfur wrote:
username5243 wrote:
quickfur wrote:Nothing new here, but this is the last of the known scaliform polychora on my website, so it seems like a natural thing to follow after spidrox.


Actually, there's one more convex scaliform polytope you haven't posted yet - tutcup (truncated tetrahedral cupolipirsm), which has 2 truncated tetrahedra, 6 tetrahedra, and 8 triangular cupolae. It is a segmentotope whose bases are two oppositely oriented truncated tetrahedra.

Ooh! Thanks for the tip! I'll be sure to post that next month! :lol: :nod:

Are all of the convex scaliforms already known? Or are these only the currently-known ones?

Definitely yes in 4D. They are related to a specific convex uniform polychoron (ex. tutcup-sircope, bidex-ex, and prissi-prico).
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Re: Quickfur's renders

Postby quickfur » Fri May 11, 2018 6:28 pm

Not sure I understand. Are you saying we know all of them, or these are the only ones we know of? If the former, do we have proof that there are no others?
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Re: Quickfur's renders

Postby quickfur » Tue May 15, 2018 12:13 am

Anyways, in the meantime, I've been adding the Johnson solids to my website, and today came to J32, which is an EKF of the icosahedron. So I made an animation of it:

Image

I know you guys have been asking for this for a long time... :oops: well I finally got round to it. :nod:
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Re: Quickfur's renders

Postby quickfur » Fri Jun 08, 2018 8:01 pm

Hmm, apparently I forgot to post this month's POM here:

Image

Y'all probably can already guess what this is, so I leave it as an exercise for the reader. ;)
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Re: Quickfur's renders

Postby quickfur » Tue Oct 30, 2018 6:23 pm

Ahh, how many months have gone by and I haven't posted the latest POMs. But here they are (click on image to visit the respective page):

July: Image

August: Image

September: Image

October: Image
Last edited by quickfur on Mon Mar 18, 2019 12:21 am, edited 1 time in total.
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Re: Quickfur's renders

Postby quickfur » Thu Jan 10, 2019 6:38 pm

I seem to keep forgetting to update this thread. Here are the latest renders:

November:
Image

December:
Image

January 2019:
Image

I know, I know, sorry, been pretty busy lately so haven't been able to do much rendering work on the non-trivial CRFs, so I fell back to just picking interesting members among the segmentochora for rendering. Well, actually, not even interesting members necessarily, but just simple ones that I happen to have the model files handy for.

And my buffer has been exhausted since 2-3 months ago (that's why the last few POMs have been late), so I'm gonna hafta build up my Polytope of the Month buffer again. I've been wanting to render some of the more interesting CRFs that I still haven't gotten around to, but I haven't dared so far because of the pressure of needing to come up with next month's POM entry. (And I'm afraid to take a month off, because the last time I did that, that month lasted almost 4 years. :lol: :oops: :( ) So I gotta build up another buffer of relatively simple CRFs for the next couple o' months so that I can work on the more interesting ones.
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Re: Quickfur's renders

Postby Dekeract » Sun Jan 20, 2019 10:17 pm

Can you do rotating in hyperspace views for all your POMs? I just love the gif files of polychora. Also, can your program render 5+ dimensional figures? If so can you render a Dekeract (a ten dimensional analog of a cube or a rectangular prism) for me??

Thanks
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Re: Quickfur's renders

Postby quickfur » Mon Jan 21, 2019 6:33 am

Dekeract wrote:Can you do rotating in hyperspace views for all your POMs? I just love the gif files of polychora. Also, can your program render 5+ dimensional figures? If so can you render a Dekeract (a ten dimensional analog of a cube or a rectangular prism) for me??

Thanks

In theory I do have a script that can do polychora animations pretty easily. The catch is that producing good animations require a bit more work, sometimes a lot more. The main tricky part is to come up with a good coloring scheme that will still look OK under rotations. Most of the static renders have little tweaks here and there to make the result look better. But in an animation I cannot just tweak individual frames, since it will look out-of-place like flickering; I have to come up with a color scheme that looks good from every rendered angle, which is a lot harder.

But I'll definitely keep this in mind for the future.

As for figures that are 5D or above, my program can load them and manipulate them, but the rendering code only works for 3D or 4D. So sorry, 10D will have to wait. :D But in case you were wondering, projections of higher-dimensional cubes generally look like zonohedra / zonotopes of some kind.
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Re: Quickfur's renders

Postby Dekeract » Sun Jan 27, 2019 2:04 pm

Can you maybe do some complex segmentochora for a few POMs. I like how segmentochora look when they are based on relatively complicated polyhedra
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Re: Quickfur's renders

Postby quickfur » Mon Jan 28, 2019 4:29 pm

I do plan do to a lot of interesting CRFs, it's just that I've limited time to work on them. There's a lot of CRFs that I'd like to render, the goal eventually is to render all of the known ones. That includes a lot of the interesting uniform polychora diminishings, and EKF polychora, and a bunch of others. The segmentochora are basically "filler" while I work on the others. :D
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Re: Quickfur's renders

Postby quickfur » Thu Feb 07, 2019 2:47 am

Mighty quiet here lately.

Anyway, February's POM is a nice little polychoron that sports gyrobifastigium (J26) cells, the augmented cantitruncated 5-cell:

Image

I know, I know, nothing big and complex. But I thought the gyrobifastigium cells are interesting enough in their own right to deserve a POM entry. I was going to do an animation, but ran out of time to do it. :( So many CRFs to render, so little time!
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