Presentation
3D realization of two triangulations of a onvex polygon
Author/s | Bereg, Sergey |
Publication Date | 2004 |
Deposit Date | 2017-03-01 |
Published in |
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Abstract | We study the problem of construction of a convex 3-polytope whose (i) shadow boundary has n vertices and (ii) two hulls, upper and lower, are isomorphic to two given triangulations of a convex n-gon. Barnette [℄ D. W. ... We study the problem of construction of a convex 3-polytope whose (i) shadow boundary has n vertices and (ii) two hulls, upper and lower, are isomorphic to two given triangulations of a convex n-gon. Barnette [℄ D. W. Barnette. Projections of 3-polytopes. Israel J. Math., 8:304{308, 1970] proved the existence of a convex 3-polytope in general case. We show that, in our case, a polytope can be constructed using an operation of edge creation. |
Citation | Bereg, S. (2004). 3D realization of two triangulations of a onvex polygon. En 20th European Workshop on Computational Geometry, Sevilla. |
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