Phyllotaxis, disk packing, and Fibonacci numbers.

@article{Mughal2017PhyllotaxisDP,
  title={Phyllotaxis, disk packing, and Fibonacci numbers.},
  author={A. Mughal and D. Weaire},
  journal={Physical review. E},
  year={2017},
  volume={95 2-1},
  pages={
          022401
        }
}
  • A. Mughal, D. Weaire
  • Published 2017
  • Physics, Medicine
  • Physical review. E
  • We consider the evolution of the packing of disks (representing the position of buds) that are introduced at the top of a surface which has the form of a growing stem. They migrate downwards, while conforming to three principles, applied locally: dense packing, homogeneity, and continuity. We show that spiral structures characterized by the widely observed Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, ...), as well as related structures, occur naturally under such rules. Typical results are… CONTINUE READING

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