|
Zapiski Nauchnykh Seminarov POMI, 1998, Volume 252, Pages 149–164
(Mi znsl699)
|
|
|
|
Description of a class of solids in $\mathbb R^3$
N. D. Lebedeva Saint-Petersburg State University
Abstract:
Let $Q\subset\mathbb R^3$ be a compact convex solid such that for each parallel (not necessarily orthogonal)
projection onto any plane no two antipodal faces of the solid are projected strictly inside the projection of all $Q$. Then $Q$ is either a cone with a convex base or a frustrum of a trihedral pyramid or a prism (possibly with nonparallel bases).
Received: 13.04.1998
Citation:
N. D. Lebedeva, “Description of a class of solids in $\mathbb R^3$”, Geometry and topology. Part 3, Zap. Nauchn. Sem. POMI, 252, POMI, St. Petersburg, 1998, 149–164; J. Math. Sci. (New York), 104:4 (2001), 1348–1357
Linking options:
https://www.mathnet.ru/eng/znsl699 https://www.mathnet.ru/eng/znsl/v252/p149
|
Statistics & downloads: |
Abstract page: | 120 | Full-text PDF : | 45 |
|