For inscribed convex polytopes with face circumcenters inside or on each face, cable-and-strut constraints force every same-homotopy realization to be a rotation of the original.
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Spiderwebs on the Sphere and an Isoperimetric Theorem
For inscribed convex polytopes with face circumcenters inside or on each face, cable-and-strut constraints force every same-homotopy realization to be a rotation of the original.