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"modeling non-Euclidean space natively" could be done with something as simple as hyperbolic geometry. For "Piecewise-Euclidean spaces" see https://en.wikipedia
by potiuper 8y ago
"modeling non-Euclidean space natively" could be done with something as simple as hyperbolic geometry. For "Piecewise-Euclidean spaces" see https://en.wikipedia.org/wiki/Piecewise_linear_manifold https://en.wikipedia.org/wiki/Piecewise_linear_manifold, https://en.wikipedia.org/wiki/PDIFF https://en.wikipedia.org/wiki/PDIFF (splines), and more generally https://en.wikipedia.org/wiki/Surgery_theory https://en.wikipedia.org/wiki/Surgery_theory.