10 citations · 36 across the 43 of their papers we have counts for
4 papers · 2 filters
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…
-GDWN splits
Urban Larsson
We study impartial take away games on 2 unordered piles of finite nonnegative numbers of tokens . Two players alternate in removing at least one and at most all tokens from…
Rational Heap Games
Urban Larsson
We study variations of classical combinatorial games on two finite heaps of tokens, a.k.a. \emph{subtraction games}. Given non-negative integers , where $p_1q_2 >…
Impartial games emulating one-dimensional cellular automata and undecidability
Urban Larsson
We study two-player \emph{take-away} games whose outcomes emulate two-state one-dimensional cellular automata, such as Wolfram's rules 60 and 110. Given an initial string consistin…