Search for dissertations about: "Interspersion array"

Found 1 swedish dissertation containing the words Interspersion array.

  2. 1. Sequences and games generalizing the combinatorial game of Wythoff Nim

    Author : Urban Larsson; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Blocking manoeuvre; Beatty sequence; Combinatorial game; Complementary sequences; Impartial game; Interspersion array; Muller twist; Nim; Permutation of the natural numbers; Stolarsky array; Wythoff Nim; Beatty sequence;

    Abstract : One single Queen is placed on an arbitrary starting position of a (large) Chess board. Two players alternate in moving the Queen as in a game of Chess but with the restriction that the $L^1$ distance to the lower left corner, position $(0,0)$, must decrease. The player who moves there wins. Let $\phi =\frac{1+\sqrt{5}}{2}$, the golden ratio. READ MORE