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

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

2011-01-24

arxiv.org/abs/1101.4420v1

Mathematics

Combinatorics

8 pages, 4 figures

Scientific paper

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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