| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2011: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Research Abstract |
Divide the 3-dimensional Euclidean space into infinite regions with equal volume such that the average of surface area is minimal among such divisions. If regions are congruent each other and convex, the modified Kelvin's conjecture says that an optimal figure is a truncated octahedron. Our result says that such conclusion holds among the family of convex simple unfoldings of doubly-covered parallelopipeds. We studied in related topics such as the Hilbert's third problem on transformability among polyhedra with equal volume, and problems on continuous flattening of polyhedra, and we got many results.
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