| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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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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