| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Research Abstract |
We picked up several computational geometry problems, and among them, we succeeded in deriving new formulae for
(1) radius of inscribed polygons, and
(2) extension of Descartes circle theorem for Steiner n-cycles. We investigated both Grobner basis and resultant methods, and found the latter algorithm more effective for these problems. To our best knowledge, the obtained formulae are so complicated that they have never been computed before.
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