Timeline for What can be said about 2 convex solids with corresponding maximal planar sections having equal area?
Current License: CC BY-SA 4.0
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| Jun 8 at 10:35 | comment | added | Nandakumar R | thank you. i understand that theorem 2 in the first reference you have answers the area case of the problem in even dimensions - even if every max section and projection of body 1 equal in area a corresponding max section - projection pair of body 2, the two bodies need not be congruent. this seems to answer the first question in mathoverflow.net/questions/472548/…. maybe the 'perimeter case' of these questions hasn't been explored. | |
| Jun 6 at 23:11 | comment | added | fedja | And arxiv.org/abs/1201.0393 is specifically about maximal sections (now in all dimensions including 3) | |
| Jun 6 at 22:56 | comment | added | fedja | You can find an answer to some of your questions in even dimensions in arxiv.org/abs/1112.3976 . Unfortunately, $3$ is odd, which creates a lot of trouble with that approach. | |
| Jun 3 at 10:07 | history | edited | Nandakumar R | CC BY-SA 4.0 |
added 136 characters in body
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| Jun 2 at 8:15 | history | asked | Nandakumar R | CC BY-SA 4.0 |