Geodesic
Geodesic polyhedra and nets
Kragujevac Journal of Mathematics, Tome 28 (2005), p. 41 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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GEODESIC POLYHEDRA AND NETSZoran Stanic Faculty of Mathematics, University of Belgrade,P. O. Box 550, 11001 Belgrade, Serbia and Montenegro (e-mail: zstanic@matf.bg.ac.yu) Abstract. Geodesics have a fundamental role in geometry of curved surfaces and manifolds, as well as in discrete geometry. We are going to expand some known facts about geodesics in regular differential geometry to the discrete geometry. We present a discrete analogy of the smooth surfaces parameterized by geodesics. The goal of our consideration is the definition of discrete surfaces generated by geodesics, studying of their properties and finding the algorithm for the generation of these surfaces.
Classification : 53A04 68U05 65D17
Keywords: geodesics, discrete geometry, geodesic polyhedra, geodesic nets, optimization 
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     title = {Geodesic polyhedra and nets},
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     zbl = {1119.53304},
     language = {en},
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Zoran Stanić. Geodesic polyhedra and nets. Kragujevac Journal of Mathematics, Tome 28 (2005), p. 41 . http://geodesic.mathdoc.fr/item/KJM_2005_28_a3/