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Timeline for Parameterizing rotations of a cube

Current License: CC BY-SA 3.0

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Apr 13, 2017 at 12:19 history edited CommunityBot
replaced http://math.stackexchange.com/ with https://math.stackexchange.com/
Dec 2, 2015 at 18:15 history reopened Gil Kalai
Lucia
Joonas Ilmavirta
user9072
Stefan Kohl
Dec 2, 2015 at 17:44 review Reopen votes
Dec 2, 2015 at 18:20
Sep 7, 2015 at 14:31 comment added Justin As a postdoc in a math department using this information for my research, I am puzzled and the tiniest bit offended that this topic is closed because it is not "research level math." But, many thanks to the folks who responded before this happened.
Aug 25, 2015 at 10:33 history closed Eric Wofsey
Hugh Thomas
Stefan Kohl
Johannes Hahn
Neil Strickland
Not suitable for this site
Aug 23, 2015 at 14:28 vote accept Justin
Aug 23, 2015 at 14:27 vote accept Justin
Aug 23, 2015 at 14:28
Aug 23, 2015 at 13:29 answer added Dylan Thurston timeline score: 3
Aug 23, 2015 at 12:44 vote accept Justin
Aug 23, 2015 at 14:27
Aug 23, 2015 at 12:41 history edited Justin CC BY-SA 3.0
0 to -1
Aug 23, 2015 at 9:09 answer added Sam Nead timeline score: 6
Aug 23, 2015 at 2:13 answer added Amritanshu Prasad timeline score: 1
Aug 23, 2015 at 1:07 comment added Justin Interesting pointer! I don't immediately see the connection but will read closely.
Aug 23, 2015 at 0:52 review Close votes
Aug 25, 2015 at 10:33
Aug 23, 2015 at 0:46 comment added Joseph O'Rourke Possibly(?) related: uniformly distributed random orthogonal matrices, used, e.g., in this MO question.
Aug 23, 2015 at 0:28 comment added Justin Got it! I understand these ideas abstractly but am hoping for a fairly concrete characterization (parameterization, embedding, metric, or something similar) to help use this space in a computational system. The elements of $\mathrm{SO}(3)$ that stabilize the cube are the octahedral group, but as this is not a normal subgroup of $\mathrm{SO}(3)$ I'm not sure how to deal with the resulting quotient in a concrete way.
Aug 23, 2015 at 0:25 comment added Ehud Meir This equivalence relation just says that two elements are in the same coset of $H$, where $H$ is the stabilizer of the cube inside $SO(3)$. An element which stabilizes the cube will also stabilize the points $\{0,1\}^3$. This set is finite, and it is possible to show that $H$ is also finiet, and to calculate it explicitly.
Aug 23, 2015 at 0:16 history asked Justin CC BY-SA 3.0