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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/14770

Title: The Convex Configurations of “Sei Shonagon Chie no Ita” and Other Dissection Puzzles
Authors: Fox-Epstein, Eli
Uehara, Ryuhei
Keywords: tangram
Sei Shonagon Chie no Ita
dissection puzzle
convex configuration
Issue Date: 2014-08
Publisher: CCCG 2014
Magazine name: The 26th Canadian Conference on Computational Geometry (CCCG 2014)
Start page: 386
End page: 389
Abstract: The tangram and Sei Shonagon 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 Shonagon 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 suffcient 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.
Rights: Copyright (C) 2014 Authors. Eli Fox-Epstein and Ryuhei Uehara, The 26th Canadian Conference on Computational Geometry (CCCG 2014), 2014, 386-389.
URI: http://hdl.handle.net/10119/14770
Material Type: publisher
Appears in Collections:b11-1. 会議発表論文・発表資料 (Conference Papers)

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