# A proof of the Koebe-Andre'ev-Thurston theorem via flow from tangency packings

@inproceedings{Bowers2020APO, title={A proof of the Koebe-Andre'ev-Thurston theorem via flow from tangency packings}, author={John C. Bowers}, year={2020} }

Recently, Connelly and Gortler gave a novel proof of the circle packing theorem for tangency packings by introducing a hybrid combinatorial-geometric operation, flip-and-flow, that allows two tangency packings whose contact graphs differ by a combinatorial edge flip to be continuously deformed from one to the other while maintaining tangencies across all of their common edges. Starting from a canonical tangency circle packing with the desired number of circles a finite sequence of flip-and-flow… CONTINUE READING

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