Titlebook: Discrete Differential Geometry; Alexander I. Bobenko,John M. Sullivan,Günter M. Zi Book 2008 Birkhäuser Basel 2008 Minimal surface.compute

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https://doi.org/10.1007/978-3-642-01270-9hat the complex curvature of a discrete space curve evolves with the discrete nonlinear Schrödinger equation (NLSE) of Ablowitz and Ladik, when the curve evolves with the Hashimoto or smoke-ring flow. A doubly discrete Hashimoto flow is derived and it is shown that in this case the complex curvature

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https://doi.org/10.1057/9781137296504chieved in the famous “Map Color Theorem” by Ringel et al. (1968). We present the nicest one of Ringel’s constructions, for the case . ≡ 7 mod 12, but also an alternative construction, essentially due to Heffter (1898), which easily and explicitly yields surfaces of genus . ∼ 1/16 ....For . (polyhed

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The Drill Support Tooling Module Projects out such a first-principles approach gives us quantities such as mean and Gaussian curvature integrals in the discrete setting and more generally, fully characterizes a certain class of possible measures. Consequently one can characterize all possible “ sensible” measurements in the discrete setti

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https://doi.org/10.1007/978-94-009-1299-1note gives an overview of approximation and convergence properties of discrete Laplacians and mean curvature vectors for polyhedral surfaces located in the vicinity of a smooth surface in euclidean 3-space. In particular, we show that mean curvature vectors converge in the sense of distributions, bu