2015 Fiscal Year Final Research Report
A Study on Computational Geometry Problems from the Old Japanese Mathematics by Computer Algebra
| Project/Area Number |
25330006
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Theory of informatics
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| Research Institution | University of Tsukuba |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Keywords | 計算幾何 / 数式処理 / 和算 |
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| Outline of Final Research Achievements |
We picked up several computational geometry problems from the old Japanese mathematics in the 17th century. We succeeded in deriving new formulae for (1) extension of Descartes circle theorem for Steiner n-cycles, and (2) area, circumradius, and their integrated formulae for inscribed polygons. In particular, for the latter problem, the integrated formulae for inscribed pentagons and hexagons are quite original in the history of mathematics, which has been unsolved for about 1,300 years.
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| Free Research Field |
情報科学
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