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

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

2011-03-18

arxiv.org/abs/1103.3576v1

Mathematics

Combinatorics

4 pages

Scientific paper

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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