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Cool Math geek Text Art: Fermat's Spiral Button

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With Zazzle custom buttons you can do more than just express a political opinion. Since you can add your own designs, pictures, and text you can express just about anything you can think of. Start creating amazing flair today!

  • 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 Laura D.September 3, 2021Verified Purchase
Round, 1.25 inch
Zazzle Reviewer Program
It came out exactly like I expected and I love the square, which is different from your typical round buttons! Printing came out just like the photo sample and exactly how I hoped.
5.0 out of 5 stars rating
5 out of 5 stars rating
By David B.December 12, 2018Verified Purchase
Square, 2 inch
Creator Review
I expect quality from Zazzle, and they don't disappoint. This button is sturdy and well made. I'm quite happy with it. Excellent print, vibrant colors, well done!
5.0 out of 5 stars rating
5 out of 5 stars rating
By Tanika P.May 27, 2015Verified Purchase
Square, 2 inch
Zazzle Reviewer Program
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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Product ID: 145665848851717219
Created on: 6/6/2011, 7:38 AM
Rating: G 
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