Cycles with coprime over-rotation pair are over-twists exactly when the forced over-rotation interval starts at their over-rotation number; for non-coprime pairs, very badly ordered cycles exist without block structure over over-twists.
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Very badly ordered cycles of interval maps
Cycles with coprime over-rotation pair are over-twists exactly when the forced over-rotation interval starts at their over-rotation number; for non-coprime pairs, very badly ordered cycles exist without block structure over over-twists.