BioTech Encyclopedia

Fibonacci spirals and the golden angle (phyllotaxis): uses in research

Also: golden angle, 137.5 degrees, sunflower spirals

Leaves and seeds often sit at about 137.5° from each other, producing Fibonacci-numbered spirals.

Known properties: Fibonacci spirals and the golden angle (phyllotaxis)

Only what the cited papers report.

  • Successive leaf primordia typically arise at a divergence angle of about 137.5° (the golden angle). doi:10.1038/srep15358

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Timeline

  1. 1992 Phyllotaxis from self-organization
  2. 2015 Is the golden angle optimal?

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biology

lab biology 2015

Is the golden angle optimal?

Okabe noted leaf primordia typically arise at the golden angle of 137.5° and examined whether this arrangement has biophysical, adaptive value.

As reported in: Okabe (2015). Biophysical optimality of the golden angle in phyllotaxis. Scientific Reports. doi:10.1038/srep15358

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physics

lab physics 1992

Phyllotaxis from self-organization

Douady and Couder reproduced Fibonacci phyllotaxis patterns in a physics experiment and simulation, arising from self-organization that converges toward the golden mean.

As reported in: Douady, Couder (1992). Phyllotaxis as a physical self-organized growth process. Physical Review Letters. doi:10.1103/PhysRevLett.68.2098

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