2013/01/25 by Alejandro Erickson, Erickson, Alejandro
Computer Science · Mathematics · #05B50 #68R05 #97K20 #Combinatorics (math.CO) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #cs.CG #math.CO #msc:05B50 #msc:68R05 #msc:97K20
paper · pdf · doi:10.48550/arxiv.1301.5969
8 pages, Accepted at Bridges Conference 2013
arxiv created 2013/03/18 · arxiv updated 2013/03/19
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.