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Cool Math geek Text Art: Fermat's Spiral Button

Qty:
Square Button
-$1.05
+$0.85
2 Inch

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  • Dimensions: 2"l x 2"w
  • Covered with scratch and UV-resistant Mylar
  • Round buttons available too
  • Made in U.S.A.
  • This product contains a functional sharp point. Not for children under 3 years of age.

About This Design

Cool Math geek Text Art: Fermat's Spiral Button

Cool Math geek Text Art: Fermat's Spiral Button

Original image first created by Javascript, then vectorized, put the definition on it in text art, and then threw in a bunch of "special effects". The following is a definition from Wikipedia. Dont' ask me to explain, because I can't. :) Fermat's spiral (also known as a parabolic spiral) follows the equation r = \pm\theta^{1/2}\, in polar coordinates (the more general Fermat's spiral follows r 2 = a 2θ.) It is a type of Archimedean spiral. In disc phyllotaxis (sunflower, daisy), the mesh of spirals occurs in Fibonacci numbers because divergence (angle of succession in a single spiral arrangement) approaches the golden ratio. The shape of the spirals depends on the growth of the elements generated sequentially. In mature-disc phyllotaxis, when all the elements are the same size, the shape of the spirals is that of Fermat spirals—ideally. That is because Fermat's spiral traverses equal annuli in equal turns. The full model proposed by H Vogel in 1979 is r = c \sqrt{n}, \theta = n \times 137.508^\circ, where θ is the angle, r is the radius or distance from the center, and n is the index number of the floret and c is a constant scaling factor. The angle 137.508° is the golden angle which is approximated by ratios of Fibonacci numbers.

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5 out of 5 stars rating
By Tanika P.May 27, 2015Verified Purchase
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Great product. Excellent way for my little girl to communicate her love and support for her daddy. Came out exactly as seen in the computer. Image was ver clear
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By Susan H.November 6, 2020Verified Purchase
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EXCELLENT PRODUCT, HIGH GLOSS, WELL MADE QUALITY PRODUCT. THEY LOOK BETTER THAN THE PICTURE
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By Tanika P.July 2, 2015Verified Purchase
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Great quality. Very durable. Exactly what I expected. Excellent print colors. Bright and clear to read.

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Other Info

Product ID: 145665848851717219
Created on: 6/6/2011, 7:38 AM
Rating: G