| Budget Amount *help |
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
We studied cellular automata working on quasi-periodic tilings. We are interested in the difference/similarity of signal propagation of cellular automata working on between the normal periodic cells and quasi-periodic tilings. We introduce corona limit which naturally visualizes the growth pattern of signal propagation. We show that the corona limit of a Penrose tilings is a regular decagon. We also show that a condition of the existence of corona limits and their shapes are point symmetric convex polygons when they are periodic. We compute the corona and edge corona limits of all the 1- and 2-regular tilings. There exists corona limits whose number of vertices are 4, 6, 8, 10, 12 and 16.
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