Tatami Maker：一款组合丰富的机械游戏板
Tatami Maker: A combinatorially rich mechanical game board
摘要：
日本的榻榻米垫子通常是四个垫子不相接触的。这种局部限制施加了丰富的组合结构时，适用于monomino-domino覆盖的直线网格。我们描述了一个模块化的机械游戏板，原型与桌面3D打印机，强制执行这一限制，并将榻榻米纸笔拼图转换成互动雕塑。我们回顾了最近的一些数学发现的榻榻米覆盖物，并提出了五个新的组合游戏的游戏板上实现。
英文摘要：
Japanese tatami mats are often arranged so that no four mats meet. This local restriction imposes a rich combinatorial structure when applied to monomino-domino coverings of rectilinear grids. We describe a modular, mechanical game board, prototyped with a desktop 3D printer, that enforces this restriction, and transforms tatami pen-and- paper puzzles into interactive sculptures. We review some recent mathematical discoveries on tatami coverings and present five new combinatorial games implemented on the game board.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
