MAXIMIZING CIRCULAR TILES ON FRACTALS: A FIRST STEP TO OPTIMIZATION IN FRACTALS

Carmen Garcã A-Miguel () and JESÚS SAN MARTà N
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Carmen Garcã A-Miguel: Universidad Politécnica de Madrid, Spain
JESÚS SAN MARTà N: Universidad Politécnica de Madrid, Spain

FRACTALS (fractals), 2021, vol. 29, issue 06, 1-17

Abstract: Fractal covering with non-overlapping circular tiles follows a power law, when the circular tiles cover a preset mass of the fractal and their centers are chosen randomly and successively. Once the fractal has been saturated with the circular tiles, the tile size frequency distribution follows a parabolic fractal law. Distribution parameters are related and depend only on fractal dimension and fixed fractal mass of tiles. The distribution of the tiles can be used to optimize the allocation and/or exploitation of resources on fractals.

Keywords: Optimization in Fractals; Fractal Covering; Fractal Parabolic Distribution (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:06:n:s0218348x2150167x

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DOI: 10.1142/S0218348X2150167X

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