The Convex Configurations of "Sei Shonagon Chie no Ita" and Other Dissection Puzzles

نویسندگان

  • Eli Fox-Epstein
  • Ryuhei Uehara
چکیده

The tangram and Sei Shōnagon Chie no Ita are popular dissection puzzles consisting of seven pieces. Each puzzle can be formed by identifying edges from sixteen identical right isosceles triangles. It is known that the tangram can form 13 convex polygons. We show that Sei Shōnagon Chie no Ita can form 16 convex polygons, propose a new puzzle that can form 19, no 7 piece puzzle can form 20, and 11 pieces are necessary and sufficient to form all 20 polygons formable by 16 identical isosceles right triangles. Finally, we examine the number of convex polygons formable by different quantities of these triangles.

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عنوان ژورنال:
  • CoRR

دوره abs/1407.1923  شماره 

صفحات  -

تاریخ انتشار 2014