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The Angel Game in the Plane

BRIAN H. BOWDITCH

Source record

Source: Crossref

Published: May 1, 2007

DOI: 10.1017/s0963548306008297

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Source abstract

We show that in the game of angel and devil, played on the planar integer lattice, the angel of power 4 can evade the devil. This answers a question of Berlekamp, Conway and Guy. Independent proofs that work for the angel of power 2 have been given by Kloster and by Máthé.

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The Angel Game in the Plane — Mathematical Frontier Network