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arXiv · 2306.13859

On the existence of two affine-equivalent frameworks with prescribed edge lengths in Euclidean $d$-space

Victor Alexandrov
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Abstract

We study the problem of existence of two affine-equivalent bar-and-joint frameworks in Euclidean $d$-space which have prescribed combinatorial structure and edge lengths. We prove that theoretically this problem is always solvable, but we cannot propose any practical algorithm for its solution.

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Victor Alexandrov. 2023-06-24. On the existence of two affine-equivalent frameworks with prescribed edge lengths in Euclidean $d$-space. https://doi.org/10.1134/s0037446623060022

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