Phyllotaxis, disk packing, and Fibonacci numbers

Adil Mughal, Denis Weaire

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8 Citations (SciVal)
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Abstract

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 presented in an animation
Original languageEnglish
Article number022401
JournalPhysical Review E
Volume95
Issue number2
DOIs
Publication statusPublished - 06 Feb 2017

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