A Variant $β$ -Wythoff Nim on Beatty's Theorem

preprint2011arXivOpen access

We give short rules for two-pile take-away games satisfying that a pair of complementary homogeneous Beatty sequences together with $(0,0)$ constitute a complete set of $P$ -positions.

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A Variant $β$ -Wythoff Nim on Beatty's Theorem

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A Variant βββ-Wythoff Nim on Beatty's Theorem

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A Variant $β$ -Wythoff Nim on Beatty's Theorem