Timeline for Taking powers of polytopes
Current License: CC BY-SA 3.0
5 events
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| Oct 18, 2016 at 21:12 | comment | added | Liviu Nicolaescu | It's easier to prove a more general result: if $P_1,P_2$ are two $n$-dimensional polytopes then there exists a piecewise affine homeomorphism $F: P_1\to P_2$. Here's the main idea. Triangulate the boundaries of $P_i$. Think of them as (geodesic) triangulations of $S^{n-1}$. Then find a geodesic triangulation that is finer than both of these triangulations. | |
| Oct 18, 2016 at 20:31 | comment | added | gradstudent | Thanks! Can you kindly let me know of a paper or book where I can read up more on this? | |
| Oct 18, 2016 at 20:19 | history | edited | Liviu Nicolaescu | CC BY-SA 3.0 |
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| Oct 18, 2016 at 20:13 | history | edited | Liviu Nicolaescu | CC BY-SA 3.0 |
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| Oct 18, 2016 at 19:28 | history | answered | Liviu Nicolaescu | CC BY-SA 3.0 |