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math.CO2012
Escher degree of non-periodic L-tilings by 2 prototiles
Kazushi Ahara, Mami Murata, Anno Ojiri
For a given tiling of the euclidean plane , we call the degree of freedom of perturbed edges of prototiles {\it escher degree}. In this paper we consider non-periodic L-…
math.GT2012
An integral region choice problem on knot projection
Kazushi Ahara, Masaaki Suzuki
In this paper we propose {\it a region choice problem} for a knot projection. This problem is an integral extension of Shimizu's 'region crossing change unknotting operation.' We s…