The preoccupations of mathematicians can seem curious and strange to normal people. They sometimes expend great energy proving results that appear glaringly obvious. One such result is called the ...
Proceedings of the American Mathematical Society, Vol. 88, No. 4 (Aug., 1983), pp. 691-697 (7 pages) We investigate the conjecture that the complement in the euclidean plane E2 of a set F of ...
We show that every rectifiable simple closed curve in the plane can be continuously deformed into a convex curve in a motion which preserves arc length and does not decrease the Euclidean distance ...
Editor’s Note: Published in 1957, this article comes from Martin Gardner’s legendary Scientific American column Mathematical Games. Read more in our special digital issue, Fun and Games. As many ...
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