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Surface Realization with the Intersection Segment Functional

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Publication:3550685
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DOI10.1080/10586458.2010.10129065zbMath1191.52010OpenAlexW2761108451MaRDI QIDQ3550685

Frank H. Lutz, Stefan Hougardy, Mariano Zelke

Publication date: 1 April 2010

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1268404804


zbMATH Keywords

triangulationpolyhedronrealizabilitysimplicial mappolyhedral surfaceedge contractioninteger coordinatesedge expansion


Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to convex and discrete geometry (52-04) Triangulating manifolds (57Q15) Polyhedral manifolds (52B70)


Related Items (4)

Nonrealizable minimal vertex triangulations of surfaces: showing nonrealizability using oriented matroids and satisfiability solvers ⋮ Non-existence of polyhedral immersions of triangulated surfaces in \(\mathbb R^3\) ⋮ Generalized Heawood numbers ⋮ A locally regular heptagon-dodecahedron embedded in 3-space




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