Flapping Polyhedra: an Unfolding Story
Rick Mabry, LSU Shreveport
It has been known for a few decades that there exist 43380 distinct nets (edge
unfoldings) of the icosahedron, and that this is (therefore) likewise true for
the dodecahedron. The complete set of such nets has only recently been
constructed, by three teams working independently. We look at the various
ways this was achieved, consider some consequences and applications, view
some "flappers" (animations), and maybe get a bit silly.