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Timeline for Parameterizing rotations of a cube

Current License: CC BY-SA 3.0

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Aug 23, 2015 at 3:31 comment added Amritanshu Prasad @Justin You should be able to calculate the metric in terms of local coordinates using $SO(3)$.
Aug 23, 2015 at 2:16 comment added Justin Indeed, looks like you worked backward to the source of my question :-) Is there a more explicit parameterization of this space? [e.g. an embedding into Euclidean space without having to identify points] What does the induced Riemannian metric look like?
Aug 23, 2015 at 2:13 history answered Amritanshu Prasad CC BY-SA 3.0