Timeline for Are there polytopes with precisely two realizations?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Sep 8 at 1:48 | comment | added | Karim Adiprasito | I don't know how to do line break on a phone. I don't have a simplest on hand, but essentially you turn an algebraic equation with two solutions into a point configuration using the von Staudt diagrams | |
| Sep 8 at 1:46 | comment | added | Karim Adiprasito | Projective transformations in one correspond to projective transformations in the other one. | |
| Aug 27 at 9:20 | comment | added | M. Winter | Thanks Karim. I think I have no particular trouble with "visualizing" Gale duality (I prefer it over the Lawrence lift, at least so far), but I wonder: is it sufficient to find a Gale diagram with only two realizations (up to some set of transformations)? Is it easy to state what transformations projective transformations turn into on the side of the Gale diagram? Do you know of a "simplest" polytope with precisely two realizations that has a name or easy construction, or would you just go via the "simplest" Gale diagram that comes to mind? | |
| Aug 27 at 1:54 | history | answered | Karim Adiprasito | CC BY-SA 4.0 |