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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Home → Magazine Archive → May 2010 (Vol. 53, No. 5) → Puzzled: Variations on the Ham Sandwich Theorum → Abstract
Puzzled: Variations on the Ham Sandwich Theorum
By Peter Winkler
Communications of the ACM,
Vol. 53 No. 5, Page 120
10.1145/1735223.1735250
![[article image]](https://cacm.acm.org/system/assets/0000/2765/042010_CACMpg120_Variations-On.large.jpg?1476779424&1271682443 "sandwich")
2 Comments
Kenneth Hertz
A continuous tangent should be sufficient. Are weaker conditions sufficient ?
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Valentin Goranko
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?