MathDB

9

Part of 1987 IMO Shortlist

Problems(1)

Does there exist a set M ? (IMO SL 1987-P9)

Source:

8/19/2010
Does there exist a set MM in usual Euclidean space such that for every plane λ\lambda the intersection M∩λM \cap \lambda is finite and nonempty ?
Proposed by Hungary.
[hide="Remark"]I'm not sure I'm posting this in a right Forum.
algebrapolynomialanalytic geometryIntersection3D geometryIMO Shortlist