"SO(3) is a schematic of the group of rotations in three dimensions. Any rotation can be specified by a vector pointing along the axis of rotation, with a length equal to the amount of rotation; using this correspondence, each cube here has been rotated by its own position vector, relative to the central cube. The group is drawn as a sphere — with a wedge removed to reveal the interior — but the true topology identifies opposite points on the surface, which represent rotations of 180° around opposite axes."
3.5 out of 5
http://www.gregegan.net/APPLETS/01/01.html
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