A Discrete Surface Theory

作者: Motoko Kotani , Hisashi Naito , Toshiaki Omori

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摘要: In the present paper, we propose a new discrete surface theory on 3-valent embedded graphs in 3-dimensional Euclidean space which are not necessarily discretization or approximation of smooth surfaces. The Gauss curvature and mean surfaces defined satisfy properties corresponding to classical theory. We also discuss convergence family subdivided given by using Goldberg-Coxeter construction. Although general have no surfaces, may find one as limit.

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