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Archimedean spiral - Wikipedia, the free encyclopedia - Three 360° turnings of one arm of an Archimedean spiral

Archimedean spiral - Wikipedia, the free encyclopedia - Three 360° turnings of one arm of an Archimedean spiral

Logarithmic spiral: "A logarithmic spiral, equiangular spiral or growth spiral is a special kind of spiral curve which often appears in nature." // Seen in: nautilus shell, Romanesco broccoli, weather patterns, space (spiral galaxies)

Logarithmic spiral: "A logarithmic spiral, equiangular spiral or growth spiral is a special kind of spiral curve which often appears in nature." // Seen in: nautilus shell, Romanesco broccoli, weather patterns, space (spiral galaxies)

In disc phyllotaxis, as in the sunflower and daisy, the mesh of spirals occurs in Fibonacci numbers because divergence approaches the golden ratio.  The angle 137.508° is the golden angle which is approximated by ratios of Fibonacci numbers. https://en.wikipedia.org/wiki/Fine-structure_constant This led him in 1929 to conjecture that its reciprocal was precisely the integer 137. PHIve feYrman <spiral> fermaT

In disc phyllotaxis, as in the sunflower and daisy, the mesh of spirals occurs in Fibonacci numbers because divergence approaches the golden ratio. The angle 137.508° is the golden angle which is approximated by ratios of Fibonacci numbers. https://en.wikipedia.org/wiki/Fine-structure_constant This led him in 1929 to conjecture that its reciprocal was precisely the integer 137. PHIve feYrman <spiral> fermaT

Fractal Geometry http://users.math.yale.edu/public_html/People/frame/Fractals/ Yale University

Fractal Geometry http://users.math.yale.edu/public_html/People/frame/Fractals/ Yale University

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