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arXiv · 1101.4420

A finite goal set in the plane which is not a Winner

Wesley Pegden
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Abstract

J. Beck has shown that if two players alternately select previously unchosen points from the plane, Player 1 can always build a congruent copy of any given finite goal set G, in spite of Player 2's efforts to stop him. We give a finite goal set G (it has 5 points) which Player 1 cannot construct before Player 2 in this achievement game played in the plane.

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Wesley Pegden. 2011-01-24. A finite goal set in the plane which is not a Winner. https://arxiv.org/abs/1101.4420

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