Anal-Canal 发表于 2025-3-23 10:59:11
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Polyhedral Surfaces of High Genusral) surfaces in ℝ. with . vertices the maximal genus is not known. The current record is . ∼ 1/8. log.., due to McMullen, Schulz & Wills (1983). We present these surfaces with a new construction: We find them in Schlegel diagrams of “neighborly cubical 4-polytopes,” as constructed by Joswig & Ziegler (2000).Alpha-Cells 发表于 2025-3-24 10:01:06
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Book 2008crete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. Current progress in this field is to a large extent stimulated by its relevance for computer graphics and mathematical physics. This collection of事先无准备 发表于 2025-3-24 17:27:43
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Convergence and Isotopy Type for Graphs of Finite Total Curvaturehs are isotopic by a small isotopy. We also show how to obtain sharper constants when the starting curve is smooth. We apply our main theorem to prove a limiting result for essential subarcs of a knot.Fecundity 发表于 2025-3-25 01:46:20
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