| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2022: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2021: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
We have developed Fractal Gazer, a visualization program for mathematicians in the field of Fractal Geometry. The program is freely available to the public. Fractal Gazer accelerates drawing of fractal images by parallel processing offered by modern GPU hardware. It enables us to modify parameters by the mouse and watch how the fractal changes shape in realtime. By using Fractal Gazer, we have discovered many new similarity tilings generated by three similarities.
Many fractal-drawing programs exist, but most of them are for graphical designs and entertainments, and very few programs exist for mathematical researches. Fractal Gazer is a research tool for mathematicians. A few researches using Fractal Gazer are already ongoing, and we expect many more researches using Fractal Gazer coming.
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