Cubinder's net

Discussion of shapes with curves and holes in various dimensions.

Re: Cubinder's net

Postby icebreaker » Mon Jun 11, 2018 2:09 pm

It's more accurate. I probably will add these animations to the Wiki.

P.S. Some men told me that they don't understand what are those red lines. I suppose it's obviously for me only that these are the same torus that is included in this tiger. Tiger in these three animations is the same, but it's rotated at different angles.
Attachments
Tiger_c-sv2_1.gif
Tiger_c-sv2_1.gif (171.16 KiB) Viewed 2000 times
Tiger_c-sv2_2.gif
Tiger_c-sv2_2.gif (193.77 KiB) Viewed 1999 times
Tiger_c-sv2_3.gif
Tiger_c-sv2_3.gif (185.66 KiB) Viewed 1989 times
Last edited by icebreaker on Sat Jun 30, 2018 5:36 pm, edited 1 time in total.
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Re: Cubinder's net

Postby icebreaker » Tue Jun 12, 2018 9:27 am

And now I need to know how to make those http://hi.gher.space/dl/EEWRMK20J64PJM8K47DT05W9V1.png cross-sections using a parametric surface (that consist of X equation, Y equation and Z equation with u, v parameters)
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Re: Cubinder's net

Postby icebreaker » Thu Jun 14, 2018 5:20 pm

I made the third variant of cross-sections and net of a cubinder. Is it more felicitous than previous ones?

P.S. According to some people, I understood that these net and cross-sections are not clear and obvious for beginners. The first variant of these ones (with red and blue lines only) they liked more. I think that I should make one more variant.
Attachments
Cubinder_net_v3.png
Cubinder_net_v3.png (31.66 KiB) Viewed 1956 times
Cubinder_c-sv3_round_cell-first.gif
Cubinder_c-sv3_round_cell-first.gif (98.98 KiB) Viewed 1956 times
Cubinder_c-sv3_cylinder-first.gif
Cubinder_c-sv3_cylinder-first.gif (7.74 KiB) Viewed 1956 times
Cubinder_c-sv3_disk-first.gif
Cubinder_c-sv3_disk-first.gif (55.85 KiB) Viewed 1956 times
Cubinder_c-sv3_round_face-first.gif
Cubinder_c-sv3_round_face-first.gif (44.75 KiB) Viewed 1956 times
Cubinder_c-sv3_edge-first.gif
Cubinder_c-sv3_edge-first.gif (35.59 KiB) Viewed 1956 times
Last edited by icebreaker on Sat Jun 30, 2018 5:55 pm, edited 1 time in total.
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Re: Cubinder's net

Postby icebreaker » Wed Jun 20, 2018 1:19 pm

Spherinder.
Attachments
Spherinder_c-s_round_cell-first.gif
Spherinder_c-s_round_cell-first.gif (77.76 KiB) Viewed 1924 times
Spherinder_c-s_sphere-first.gif
Spherinder_c-s_sphere-first.gif (6.59 KiB) Viewed 1924 times
Spherinder_c-s_face-first.gif
Spherinder_c-s_face-first.gif (36.25 KiB) Viewed 1924 times
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Re: Cubinder's net

Postby icebreaker » Thu Jun 21, 2018 4:32 pm

New colored version of duocylinder.
Attachments
Duocylinder_c-sv3_red-first.gif
Duocylinder_c-sv3_red-first.gif (129.62 KiB) Viewed 1907 times
Duocylinder_c-sv3_blue-first.gif
Duocylinder_c-sv3_blue-first.gif (197.09 KiB) Viewed 1907 times
Duocylinder_c-sv3_round_face-first.gif
Duocylinder_c-sv3_round_face-first.gif (80.38 KiB) Viewed 1907 times
Duocylinder_net_v2_1.png
Duocylinder_net_v2_1.png (48.75 KiB) Viewed 1854 times
Duocylinder_net_v2_2.png
Duocylinder_net_v2_2.png (46.92 KiB) Viewed 1854 times
Last edited by icebreaker on Wed Jun 27, 2018 6:55 am, edited 1 time in total.
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Re: Cubinder's net

Postby icebreaker » Mon Jun 25, 2018 1:11 pm

Slices of a spheritorus. Сompare these ones with the cross-sections of a tiger.

P.S. The red lines on these animations are the same sphere that is included in the same spheritorus which is rotated at different angles.
Attachments
Spheritorus_c-s_1.gif
Spheritorus_c-s_1.gif (48.33 KiB) Viewed 1876 times
Spheritorus_c-s_2.gif
Spheritorus_c-s_2.gif (169.19 KiB) Viewed 1876 times
Spheritorus_c-s_3.gif
Spheritorus_c-s_3.gif (62.48 KiB) Viewed 1876 times
Last edited by icebreaker on Sat Jun 30, 2018 5:58 pm, edited 1 time in total.
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Re: Cubinder's net

Postby icebreaker » Tue Jun 26, 2018 3:11 pm

Cross-sections of a torisphere.

P.S. The red lines are the same torus that is included in this torisphere.
Attachments
Torisphere_c-s_1.gif
Torisphere_c-s_1.gif (143.51 KiB) Viewed 1865 times
Torisphere_c-s_2.gif
Torisphere_c-s_2.gif (94.74 KiB) Viewed 1865 times
Torisphere_c-s_3.gif
Torisphere_c-s_3.gif (236.32 KiB) Viewed 1865 times
Last edited by icebreaker on Sat Jun 30, 2018 5:59 pm, edited 1 time in total.
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Re: Cubinder's net

Postby icebreaker » Wed Jun 27, 2018 3:34 pm

Slices of a ditorus.

P.S. I think it's clear that the red lines are the same torus that is included in this ditorus.
Attachments
Ditorus_c-s_1.gif
Ditorus_c-s_1.gif (50.31 KiB) Viewed 1851 times
Ditorus_c-s_2.gif
Ditorus_c-s_2.gif (49.71 KiB) Viewed 1851 times
Ditorus_c-s_3.gif
Ditorus_c-s_3.gif (127.34 KiB) Viewed 1851 times
Ditorus_c-s_4.gif
Ditorus_c-s_4.gif (184.87 KiB) Viewed 1851 times
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Re: Cubinder's net

Postby ICN5D » Tue Jul 16, 2019 11:26 pm

Icebreaker, my dude, you should keep making these. They're not only our wiki worthy, but also actual Wikipedia worthy too. I've put some of my own stuff up there, too. Check out the 3,3 and 3,4 duoprism. It may be quiet around here on the toratope threads, but don't let that discourage you!
in search of combinatorial objects of finite extent
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Re: Cubinder's net

Postby icebreaker » Fri Aug 02, 2019 1:27 am

Yeah, I was about to do this, but everything distracted me (studying, hobbies). Recently I was thinking to make slice animations of coninder, dicone, cylindrone with colored cells, but it would take me too long because each frame (except of simplest cases) is made literally manually. Coloring the cells would be even more tedious, applying primitive methods. I use Blender (https://www.blender.org) without any special function to build slices automatically.

I underestimated the benefit of my work, until today.
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