Auspicious Tatami Mat Arrangements

  title={Auspicious Tatami Mat Arrangements},
  author={Alejandro Erickson and Frank Ruskey and Mark Schurch and Jennifer Woodcock},
We introduce tatami tilings, and present some of the many interesting questions that arise when studying them. Roughly speaking, we are considering tilings of rectilinear regions with 1×2 dimer tiles and 1×1 monomer tiles, with the constraint that no four corners of the tiles meet. Typical problems are to minimize the number of monomers in a tiling, or to count the number of tilings in a particular shape. We determine the underlying structure of tatami tilings of rectangles and use this to… 
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