Phyllotaxis, disk packing, and Fibonacci numbers

Adil Mughal, Denis Weaire

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

9 Dyfyniadau (Scopus)
323 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

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
Iaith wreiddiolSaesneg
Rhif yr erthygl022401
CyfnodolynPhysical Review E
Cyfrol95
Rhif cyhoeddi2
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 06 Chwef 2017

Ôl bys

Gweld gwybodaeth am bynciau ymchwil 'Phyllotaxis, disk packing, and Fibonacci numbers'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.

Dyfynnu hyn