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3D realization of two triangulations of a onvex polygon

 

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Opened Access 3D realization of two triangulations of a onvex polygon
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Author: Bereg, Sergey
Date: 2004
Document type: Presentation
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. 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.
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Format: PDF

URI: http://hdl.handle.net/11441/55053

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