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QUASICRYSTALLINE PATTERN FORMATION IN FLUID SUBSTRATES AND PHYLLOTAXIS

QUASICRYSTALLINE PATTERN FORMATION IN FLUID SUBSTRATES AND PHYLLOTAXIS

Phyllotactic patterns possess the quasicrystalline structure of the quasiperiodic Penrose tiling pattern. The author has shown that quasicrystalline structure of the quasiperiodic Penrose tiling pattern underlie iterative growth processes such as turbulent(small scale) fluctuations in fluid flows and round-off error growth in numerical integration schemes. Selfsimilarity in spatial structure extends …