A graph has a flexible assignment of spherical edge lengths if and only if it admits a NAP-coloring, and K3,3 has exactly three proper spherical motions: two Dixon-type motions and one new constant diagonal angle motion.
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On the existence of paradoxical motions of generically rigid graphs on the sphere
A graph has a flexible assignment of spherical edge lengths if and only if it admits a NAP-coloring, and K3,3 has exactly three proper spherical motions: two Dixon-type motions and one new constant diagonal angle motion.