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Home/Magazine Archive/May 2010 (Vol. 53, No. 5)/Puzzled: Variations on the Ham Sandwich Theorum/Abstract

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Puzzled: Variations on the Ham Sandwich Theorum

By Peter Winkler
Communications of the ACM, May 2010, Vol. 53 No. 5, Page 120
10.1145/1735223.1735250
Comments (2)

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Welcome to three new puzzles. Solutions to the first two will be published next month; the third is (as yet) unsolved. In each, the issue is how your intuition matches up with the mathematics.

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Comments

Valentin Goranko

May 19, 2010 06:39

I think the truth of 2 and 3 may depend on how you define (closed) curve, so please give your precise definitions. For instance, there are unbounded, space filling curves for which 2 would not hold, and one can make such a curve 'closed' by self-crossing. So, maybe 2 should be restricted to simple (Jordan) curves?

Kenneth Hertz

July 15, 2010 05:17

A continuous tangent should be sufficient. Are weaker conditions sufficient ?

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