Timeline for Does every convex polyhedron have a combinatorially isomorphic counterpart whose faces all have rational areas?
Current License: CC BY-SA 3.0
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| Oct 9, 2017 at 12:58 | history | edited | Tony Huynh | CC BY-SA 3.0 |
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| May 5, 2013 at 2:15 | comment | added | Joseph O'Rourke | I only know this via G. Ziegler's paper already cited, "Non-rational configurations, polytopes, and surfaces." I am not certain if Ulrich published it separately, as he was more concentrated on his universality theorem ("A universality theorem for realization spaces of maps"). | |
| May 5, 2013 at 1:25 | comment | added | Liu Jin Tsai | @Joseph O'Rourke: Could you please give a reference? | |
| May 5, 2013 at 1:09 | comment | added | Joseph O'Rourke | However, note that there are nonrational, nonconvex polyhedral surfaces in $\mathbb{R}^3$, due to Ulrich Brehm. | |
| May 4, 2013 at 23:12 | comment | added | Tony Huynh | Thanks Douglas. Yes, it is indeed mentioned in Ziegler's paper. | |
| May 4, 2013 at 23:10 | comment | added | Douglas Zare | In case the original question was for dimension $3$, however, the answer is yes, as I think is mentioned in that paper. | |
| May 4, 2013 at 23:08 | history | answered | Tony Huynh | CC BY-SA 3.0 |