Or can we apply ANY isometry in a sphere and it will have a fixed diameter? Regardless if it is discontinuous in time. Would absolutely any discontinuous isometry be a rotation in a sphere?
2026-03-28 02:03:34.1774663414
Does Euler's rotation theorem assume a continuous movement over time?
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kind of.
It assumes the isometry is "orientation-preserving", thus, it ignores reflection around symmetry axes plus some other weird isometries that would not happen in real world What are some isometries of $S^2$ without fixed points?