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http://hdl.handle.net/10119/9862
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Title: | Construct of Common Development of Regular Tetrahedron and Cube |
Authors: | Shirakawa, Toshihiro Horiyama, Takashi Uehara, Ryuhei |
Keywords: | unfolding development regular tetrahedron regular cube |
Issue Date: | 2011 |
Publisher: | EuroCG 2011 |
Magazine name: | 27th European Workshop on Computational Geometry (EuroCG 2011) |
Start page: | 47 |
End page: | 50 |
Abstract: | A procedure that produces a common unfolding of aregular tetrahedron and a cube is given. It is adaptableto the length of an edge. If we allow a small errorof the length of an edge of the tetrahedron, the procedurecertainly halts and generates a common unfoldingof a cube and an almost regular tetramonohedron.If we wish to generate the common unfolding of themwith accuracy, we conjecture that the procedure doesnot halt and we obtain the common unfolding in thelimit as a set of infinitely many points. The procedurehas a potential to design a fractal structure given ina continued fraction form. |
Rights: | Toshihiro Shirakawa, Takashi Horiyama, and Ryuhei Uehara, 27th European Workshop on Computational Geometry (EuroCG 2011), 2011, 47-50. |
URI: | http://hdl.handle.net/10119/9862 |
Material Type: | author |
Appears in Collections: | b11-1. 会議発表論文・発表資料 (Conference Papers)
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