An asymmetric convex body with maximal sections of constant volume

Details An asymmetric convex body with maximal sections of constant volume An asymmetric convex body with maximal sections of constant volume

2012-01-01

arxiv.org/abs/1201.0393v1

Mathematics

Metric Geometry

29 pages, 5 figures

Scientific paper

We show that in all dimensions d>2, there exists an asymmetric convex body of
revolution all of whose maximal hyperplane sections have the same volume. This
gives the negative answer to the question posed by V. Klee in 1969.

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