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This is a Tuckerman's Traverse of a Nonahexaflexagon.
A hexaflexagon is a strip of paper folded origami-style into a flat hexagon in a way that allows it to be flexed to reveal additional hidden faces. A nona-hexaflexagon has nine faces total;
Flexagons were first studied by Stone, Tukey, Tuckerman, and Feynman, and popularized by Martin Gardner.
David Bau