Abstract

mattress turning: the four possible orientations for a mattress on a bed frame and the group of operations that move a mattress from one orientation to another. This group, isomorphic to the Klein 4-group, consists of the identity element and three 180? rota tions through the center of the mattress. I call these the flip (about an axis from head to foot), the flop (about an axis from side to side), and the spin (about a vertical axis). Of these, the flop is the most awkward to perform, and is perhaps most easily carried out as the composition of a flip with a spin?in either order, since the Klein 4-group is commutative. One part of the report particularly grabbed my attention:

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