Timeline for Are there smooth bodies of constant width?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Apr 26, 2022 at 10:48 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
replaced the dead link
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| Jan 11, 2013 at 4:50 | comment | added | Daniel Asimov | I took a look at the Fillmore paper, and just before his Corollary to Theorem 2 -- which reads "Corollary. There exists an analytic hypersurface of constant width in E^n having the same group of symmetries as a regular n-simplex." -- he writes "If we imitate the construction of a Reuleux triangle . . .. Thus:" This seems to imply that he is assuming that [the intersection of four balls in 3-space, centered at the vertices of a regular tetrahedron and each with radius = the side-length of the tetrahedron] is a body of constant width. But this is known to be false. | |
| Dec 11, 2011 at 14:19 | comment | added | Olivier | For an ignoramus like me, these results are quite impressive and highly counter-intuitive. | |
| Feb 11, 2011 at 12:16 | history | edited | Andrey Rekalo | CC BY-SA 2.5 |
added 18 characters in body
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| Feb 11, 2011 at 12:11 | comment | added | Benoît Kloeckner | In the second paragraph, a "of constant width" is missing; it is implicit, but it disturbed me for a second. | |
| Feb 11, 2011 at 11:52 | history | edited | Andrey Rekalo | CC BY-SA 2.5 |
Grammar is fixed.
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| Feb 4, 2011 at 0:42 | vote | accept | Joseph O'Rourke | ||
| Feb 3, 2011 at 23:23 | history | answered | Andrey Rekalo | CC BY-SA 2.5 |