Timeline for Is a polytope that has in-spheres for faces of all dimensions already regular?
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| Jun 1, 2020 at 23:19 | comment | added | Wlodek Kuperberg | @LSpice -- Thanks, no harm done. | |
| Jun 1, 2020 at 22:41 | comment | added | LSpice | I apologise for my wrong edit. I actually read it carefully and thought I knew what you meant, but I should have asked rather than changing it when I realised I wasn't sure. | |
| Jun 1, 2020 at 22:06 | history | edited | Wlodek Kuperberg | CC BY-SA 4.0 |
added 13 characters in body
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| Jun 1, 2020 at 22:01 | comment | added | Wlodek Kuperberg | @M.Winter: All centers of these circles are at the same distance from the origin, and all circles lie on one sphere, the one containing the vertices. | |
| Jun 1, 2020 at 21:55 | comment | added | Adam P. Goucher | Each face lies on a plane which is tangent to the insphere, and intersects the circumsphere in a circle (namely the circumcircle of that face). The squared radius of this circumcircle is the difference between the squared radius of the circumsphere and the squared radius of the insphere (by Pythagoras). | |
| Jun 1, 2020 at 21:51 | comment | added | M. Winter | How exactly you show that "all faces are inscribed in circles of the same radius" (I know that they are inscribed, but why same radius)? Also I would be interested in how exactly this generalizes. | |
| Jun 1, 2020 at 21:50 | history | edited | LSpice | CC BY-SA 4.0 |
Unexpected hyphen (maybe from C&P?)
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| Jun 1, 2020 at 21:49 | history | edited | Wlodek Kuperberg | CC BY-SA 4.0 |
edited body
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| Jun 1, 2020 at 21:43 | history | edited | Wlodek Kuperberg | CC BY-SA 4.0 |
added 39 characters in body
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| Jun 1, 2020 at 21:36 | history | edited | Wlodek Kuperberg | CC BY-SA 4.0 |
added 81 characters in body
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| Jun 1, 2020 at 21:28 | history | undeleted | Wlodek Kuperberg | ||
| Jun 1, 2020 at 20:11 | history | deleted | Wlodek Kuperberg | via Vote | |
| Jun 1, 2020 at 20:10 | history | answered | Wlodek Kuperberg | CC BY-SA 4.0 |