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Maharaja Nim, Wythoff's Queen meets the Knight
Urban Larsson, Johan Wästlund
New combinatorial games are introduced, of which the most pertinent is Maharaja Nim. The rules extend those of the well-known impartial game of Wythoff Nim in which two players tak…
Black & White Nim games
Urban Larsson
We present a new family of Nim games where the rules depend on a given `coloring' of the tokens, each token being either black or white. The rules are as in Nim with the restrictio…
A Variant -Wythoff Nim on Beatty's Theorem
Urban Larsson
We give short rules for two-pile take-away games satisfying that a pair of complementary homogeneous Beatty sequences together with constitute a complete set of -positio…
Blocking Wythoff Nim
Urban Larsson
The 2-player impartial game of Wythoff Nim is played on two piles of tokens. A move consists in removing any number of tokens from precisely one of the piles or the same number of…