Cubinder's net

Discussion of shapes with curves and holes in various dimensions.

Re: Cubinder's net

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 (171.16 KiB) Viewed 2001 times
Tiger_c-sv2_2.gif (193.77 KiB) Viewed 2000 times
Tiger_c-sv2_3.gif (185.66 KiB) Viewed 1990 times
Last edited by icebreaker on Sat Jun 30, 2018 5:36 pm, edited 1 time in total.
icebreaker
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Re: Cubinder's net

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)
icebreaker
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Re: Cubinder's net

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 (31.66 KiB) Viewed 1957 times
Cubinder_c-sv3_round_cell-first.gif (98.98 KiB) Viewed 1957 times
Cubinder_c-sv3_cylinder-first.gif (7.74 KiB) Viewed 1957 times
Cubinder_c-sv3_disk-first.gif (55.85 KiB) Viewed 1957 times
Cubinder_c-sv3_round_face-first.gif (44.75 KiB) Viewed 1957 times
Cubinder_c-sv3_edge-first.gif (35.59 KiB) Viewed 1957 times
Last edited by icebreaker on Sat Jun 30, 2018 5:55 pm, edited 1 time in total.
icebreaker
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Re: Cubinder's net

Spherinder.
Attachments
Spherinder_c-s_round_cell-first.gif (77.76 KiB) Viewed 1925 times
Spherinder_c-s_sphere-first.gif (6.59 KiB) Viewed 1925 times
Spherinder_c-s_face-first.gif (36.25 KiB) Viewed 1925 times
icebreaker
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Re: Cubinder's net

New colored version of duocylinder.
Attachments
Duocylinder_c-sv3_red-first.gif (129.62 KiB) Viewed 1908 times
Duocylinder_c-sv3_blue-first.gif (197.09 KiB) Viewed 1908 times
Duocylinder_c-sv3_round_face-first.gif (80.38 KiB) Viewed 1908 times
Duocylinder_net_v2_1.png (48.75 KiB) Viewed 1855 times
Duocylinder_net_v2_2.png (46.92 KiB) Viewed 1855 times
Last edited by icebreaker on Wed Jun 27, 2018 6:55 am, edited 1 time in total.
icebreaker
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Re: Cubinder's net

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 (48.33 KiB) Viewed 1877 times
Spheritorus_c-s_2.gif (169.19 KiB) Viewed 1877 times
Spheritorus_c-s_3.gif (62.48 KiB) Viewed 1877 times
Last edited by icebreaker on Sat Jun 30, 2018 5:58 pm, edited 1 time in total.
icebreaker
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Re: Cubinder's net

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 (143.51 KiB) Viewed 1866 times
Torisphere_c-s_2.gif (94.74 KiB) Viewed 1866 times
Torisphere_c-s_3.gif (236.32 KiB) Viewed 1866 times
Last edited by icebreaker on Sat Jun 30, 2018 5:59 pm, edited 1 time in total.
icebreaker
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Re: Cubinder's net

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 (50.31 KiB) Viewed 1852 times
Ditorus_c-s_2.gif (49.71 KiB) Viewed 1852 times
Ditorus_c-s_3.gif (127.34 KiB) Viewed 1852 times
Ditorus_c-s_4.gif (184.87 KiB) Viewed 1852 times
icebreaker
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Re: Cubinder's net

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
ICN5D
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Re: Cubinder's net

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.
icebreaker
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