Urabe-Pattern

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Urabe-Pattern

Toshinaga Urabe

Art

I was surprised at M.C. Escher’s exhibition in 1982 and hoped to create a tiling pattern by myself. But I worried about creating everyday, and time was gone without any one pattern during 2 months. When I watched Escher’s sketch book, I found thinner additional line behind butterfly design. It gave me the inspiration to make section paper like top page. I invented 2 kinds section paper of square and triangle. I select segment line by “try & error” method. I could create 200 tiling patterns during one year.

At that time, I did not know that tiling pattern were infinite. Prof. Gisaku Nakamura’s book taught me that there were rotation method of square and triangle. He selected all tiling pattern from tetragon and polyiamond by programming. (I found some polyiamond leakage from his list). I also found the possibility to create the tiling pattern to adopt arc on straight line. I programmed all possibility of tiling pattern from his list and print them by plotter in 1985. Their total page was too big and total thickness of paper was 30 feet. Prof. Gisaku Nakamura taught me his tiling pattern of rotation element were infinite. Then I must give up to plotting out.

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