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首页> 外文期刊>INTEGERS: electronic journal of Combinatorial Number Theory >A RECURSIVE PROCESS RELATED TO A PARTIZAN VARIATION OF WYTHOFF
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A RECURSIVE PROCESS RELATED TO A PARTIZAN VARIATION OF WYTHOFF

机译:与Wythoff的Partizan变异有关的递归过程

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wythoff queens is a classical combinatorial game related to very interesting mathematical results. An amazing one is the fact that the P-positions are given by (!?n", !?2n") and (!?2n", !?n") where ? = 1+√5 2 . In this paper, we analyze a different version where one player (Left) plays with a chess bishop and the other (Right) plays with a chess knight. The new game (call it chessfights) lacks a Beatty sequence structure in the P-positions as in wythoff queens. However, it is possible to formulate and prove some general results of a general recursive law which is a particular case of a partizan subtraction game.
机译:Wythoff Queens是一种与非常有趣的数学结果相关的古典组合游戏。一个惊人的一个是(!?n“,!?2n”)和(!2n“,!?n”)在哪里? = 1 +√52。在本文中,我们分析了一个不同版本,其中一个玩家(左)和国际象棋主教和另一个(右)一起玩棋骑士。新的游戏(呼叫IT Chessfights)缺乏在Wythoff Queens中的P-Possials中的亮相序列结构。然而,可以制定和证明一般递归法的一般结果,这是Partizan减法游戏的特定情况。

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