Abstract
We generate all the finite kneading sequences of one of the two kinds of bimodal map on the interval, building each sequence uniquely from a pair of shorter ones. There is a single pair at generation 0 0 , with members of length 1 1 . Concomitant with this genealogy of kneading sequences is a unified genealogy of all the periodic orbits. (See Figure 0.) Figure 0. Loci of some finite kneading sequences for a two-parameter cubic family
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