Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Costin Vîlcu"'
Autor:
Joseph O’Rourke, Costin Vîlcu
Publikováno v:
Information, Vol 13, Iss 5, p 238 (2022)
Pogorelov proved in 1949 that every convex polyhedron has at least three simple closed quasigeodesics. Whereas a geodesic has exactly a π surface angle to either side at each point, a quasigeodesic has at most a π surface angle to either side at ea
Externí odkaz:
https://doaj.org/article/6beceed7648c45c68a409ccbba05cfef
Autor:
Joseph O'Rourke, Costin Vîlcu
Publikováno v:
Computational Geometry. 114:102010
Autor:
Joël Rouyer, Costin Vîlcu
Publikováno v:
Advances in Geometry. 20:139-148
We study global maxima of distance functions on most Alexandrov surfaces with curvature bounded below, where "most" is used in the sense of Baire categories.
Comment: 15 pages, 2 figures. Minor changes, improving the presentation in v2
Comment: 15 pages, 2 figures. Minor changes, improving the presentation in v2
Publikováno v:
Differential Geometry and its Applications. 66:242-252
We determine (non-necessarily convex) polyhedra having simple dense geodesics.
12 pages, 6 figures
12 pages, 6 figures
Publikováno v:
Advances in Mathematics. 343:245-272
We consider a typical (in the sense of Baire categories) convex body K in R d + 1 . The set of feet of its double normals is a Cantor set, having lower box-counting dimension 0 and packing dimension d. The set of lengths of those double normals is al
Publikováno v:
Results in Mathematics. 75
Let K be a convex body in $${\mathbb {R}} ^d$$, with $$d = 2,3$$. We determine sharp sufficient conditions for a set E composed of 1, 2, or 3 points of $$\mathrm{bd}K$$, to contain at least one endpoint of a diameter of K. We extend this also to conv
We prove inequalities involving intrinsic and extrinsic radii and diameters of tetrahedra.
Comment: 14 pages, 2 figures
Comment: 14 pages, 2 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::375173d93932b214f6913b4ee10e5aed
Publikováno v:
Advances in Mathematics. 369:107187
For any compact Riemannian surface S and any point y in S, Q y − 1 denotes the set of all points in S for which y is a critical point, and | Q y − 1 | its cardinality. We proved [2] together with Imre Barany that | Q y − 1 | ≥ 1 , and that eq
Autor:
Joël Rouyer, Costin Vîlcu
We consider the distance function from an arbitrary point $p$ on a flat surface, and determine the set $F_{p}$ of all \emph{farthest points} (i.e., points at maximal distance) from $p$.
Comment: 10 pages, 3 figures
Comment: 10 pages, 3 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0778b99782dd53122a173a9dee01cab3
http://arxiv.org/abs/1807.03507
http://arxiv.org/abs/1807.03507
Autor:
Joseph O'Rourke, Costin Vîlcu
Publikováno v:
Computational Geometry. 47:149-163
We establish that certain classes of simple, closed, polygonal curves on the surface of a convex polyhedron develop in the plane without overlap. Our primary proof technique shows that such curves ''live on a cone,'' and then develops the curves by c