Timeline for Parameterizing rotations of a cube
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Aug 23, 2015 at 17:46 | comment | added | Justin | Fair enough! "Constant time" after all -- so a theoretical computer scientist would be OK with that check :-) . I'm hoping to generate smooth maps into this quotient space -- will have to think about how to represent such a thing...I wonder if its Laplacian is easy to write down | |
| Aug 23, 2015 at 14:28 | vote | accept | Justin | ||
| Aug 23, 2015 at 13:09 | comment | added | Sam Nead | Hmm. Having to check 24 things in an innermost loop could be painful. (You'll have to do timings to check. Perhaps using the unit quaternions, instead of SO(3), will speed things up.) Nonetheless, a simple implementation that works slowly is better than a clever idea that doesn't work at all. :) | |
| Aug 23, 2015 at 12:44 | vote | accept | Justin | ||
| Aug 23, 2015 at 14:27 | |||||
| Aug 23, 2015 at 12:44 | comment | added | Justin | Thanks for the catch -- I was looking for $C$ rather than $E$! This post is very helpful -- I'll take a look at the book by Weeks and some of the terms you mention. Parameterization is a tricky matter. Stab(C) is a large group (S_4), so those elements could be quite large sets! | |
| Aug 23, 2015 at 9:50 | history | edited | Sam Nead | CC BY-SA 3.0 |
removed some of the condescension ;)
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| Aug 23, 2015 at 9:45 | history | edited | Sam Nead | CC BY-SA 3.0 |
discussion of the metric.
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| Aug 23, 2015 at 9:09 | history | answered | Sam Nead | CC BY-SA 3.0 |