The Sunflower Spiral and the Fibonacci Metric

Year: 2010 Authors: Henry Segerman

Core claim

Counting terms in Zeckendorf representations produces a coloring on the sunflower spiral that visually exposes Fibonacci-related spokes and rings.

Topics

phyllotaxis, Fibonacci sequence, spiral coloring, Zeckendorf theorem

Domains

number theory, combinatorics, discrete geometry, metric on integers, mathematical visualization, pattern design, generative imagery

Methods

spiral point mapping, integer coloring, Zeckendorf representation, visual pattern analysis

Media

sunflower spiral, computer-generated figures, colored point plots

Source status

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