Questions tagged [rigidity-theory]

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What arrangements of face angles and side lengths uniquely determines an $n$-simplex up to isometry?

I am looking for a generalization of the result in plane geometry that triangles are determined up to isometry by 3 parameters in the following arrangements: side-side-side, side-angle-side, and angle-...
Eleanor Blake's user avatar
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Is $K_{3,3}$ with vertices on a circle locally rigid in the plane?

Consider the complete bipartite graph $K_{3,3}$ in plane such that all its vertices lie on a circle. Is this framework locally rigid in plane (which I believe is the case) and if so, how to prove this?...
pritam's user avatar
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