Cubinder's net

Discussion of shapes with curves and holes in various dimensions.

Re: Toratope's nets and cross-sections

Postby icebreaker » Sun Nov 12, 2017 5:50 am

Thanks very much for sharing this service! I will try to use it. I like your responsiveness. :]
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Re: Toratope's nets and cross-sections

Postby icebreaker » Tue Nov 21, 2017 2:20 pm

Finally I found a time to visualize cross-sections of so hard form - coninder.
Attachments
Coninder_c-s_90dg.gif
Coninder_c-s_90dg.gif (34.6 KiB) Viewed 109 times
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Re: Toratope's nets and cross-sections

Postby icebreaker » Wed Nov 22, 2017 9:14 am

I still have a problem to realize the rest particular cross-section of dicone. Here is the face-first one.
Attachments
Dicone_c-s_face-first.gif
Dicone_c-s_face-first.gif (16.83 KiB) Viewed 103 times
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Re: Toratope's nets and cross-sections

Postby icebreaker » Wed Nov 22, 2017 3:09 pm

I assume that the slices of dicone could be this:
Attachments
Dicone_c-s_90gr_MAY_BE_POSSIBLE.gif
Dicone_c-s_90gr_MAY_BE_POSSIBLE.gif (25.18 KiB) Viewed 100 times
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Re: Toratope's nets and cross-sections

Postby icebreaker » Sat Nov 25, 2017 5:19 pm

I decided to create more complex variant of slices of the objects. Is it more felicitous than previous ones? Then I would make this for other toratopes.
Attachments
Cubinder_c-sv2_round-first.gif
Cubinder_c-sv2_round-first.gif (78.81 KiB) Viewed 79 times
Cubinder_c-sv2_cylinder-first.gif
Cubinder_c-sv2_cylinder-first.gif (9.73 KiB) Viewed 79 times
Cubinder_c-sv2_disk-first.gif
Cubinder_c-sv2_disk-first.gif (41.23 KiB) Viewed 79 times
Cubinder_c-sv2_round_face-first.gif
Cubinder_c-sv2_round_face-first.gif (55.88 KiB) Viewed 79 times
Cubinder_c-sv2_edge-first.gif
Cubinder_c-sv2_edge-first.gif (43.64 KiB) Viewed 79 times
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Re: Toratope's nets and cross-sections

Postby icebreaker » Sat Nov 25, 2017 6:00 pm

And net...
Attachments
Cubinder_net_v2.png
Cubinder_net_v2.png (32 KiB) Viewed 79 times
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Re: Toratope's nets and cross-sections

Postby icebreaker » Sun Nov 26, 2017 7:38 am

The same thing with duocylinder?
Attachments
Duocylinder_net_1_v2.png
Duocylinder_net_1_v2.png (27.93 KiB) Viewed 74 times
Duocylinder_net_2_v2.png
Duocylinder_net_2_v2.png (27.89 KiB) Viewed 74 times
Duocylinder_c-sv2_blue-first.gif
Duocylinder_c-sv2_blue-first.gif (56.47 KiB) Viewed 74 times
Duocylinder_c-sv2_red-first.gif
Duocylinder_c-sv2_red-first.gif (55.36 KiB) Viewed 74 times
Duocylinder_c-sv2_face-first.gif
P.S. Forgot the face-first one
Duocylinder_c-sv2_face-first.gif (49.9 KiB) Viewed 65 times
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Re: Toratope's nets and cross-sections

Postby icebreaker » Sat Dec 02, 2017 5:28 pm

There is an analogy between the cross-sections of a duocylinder, a cubinder and a tesseract.

Cubinder - cylinder-first
Tesseract - cube-first

Cubinder - round cell-first and disk-first
Duocylinder - cell-first
Tesseract - square-first

Cubinder - round face-first
Tesseract - edge-first

Cubinder - edge-first
Duocylinder - face-first
Tesseract - corner-first
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Re: Cubinder's net

Postby ICN5D » Sat Dec 09, 2017 12:15 am

These are great, man. Nice to see someone else out there making hypershape gifs.
in search of combinatorial objects of finite extent
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Re: Toratope's nets and cross-sections

Postby icebreaker » Tue Dec 12, 2017 2:10 pm

Creating this animation seemed to me very long but it's not true.
Attachments
Tesseract_c-sv2_corner-first.gif
Tesseract_c-sv2_corner-first.gif (32.01 KiB) Viewed 23 times
Tesseract_c-sv2_edge-first.gif
Tesseract_c-sv2_edge-first.gif (24.17 KiB) Viewed 15 times
Tesseract_c-sv2_face-first.gif
Tesseract_c-sv2_face-first.gif (21.61 KiB) Viewed 15 times
Tesseract_c-sv2_cell-first.gif
Tesseract_c-sv2_cell-first.gif (8.52 KiB) Viewed 15 times
Tesseract_net_v3.png
Tesseract_net_v3.png (20.24 KiB) Viewed 15 times
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