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Cool Math geek Text Art: Fermat's Spiral 15 Cm Square Badge

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Square Badge
-$1.75
+$1.40
5.1 cm (2")

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With Zazzle custom badges, 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: 5.08 cm x 5.08 cm
  • Covered with scratch and UV-resistant Mylar
  • Round badges available too
  • Made in the 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 15 Cm Square Badge

Cool Math geek Text Art: Fermat's Spiral 15 Cm Square Badge

Original image first created by Javascript, then vectorised, 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 centre, 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.

Customer Reviews

4.8 out of 5 stars rating8.4K Total Reviews
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5 out of 5 stars rating
By Scooterman T.5 December 2020Verified Purchase
Square Badge, 5.1 cm (2")
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I have a youtube channel and had these badges made to give to selected people. The badges are really great. Very happy with them. The printing was spot on. Crisp, clear, and colourful. Just like the image I uploaded. Slight blur is from me.
5 out of 5 stars rating
By Michael S.17 February 2021Verified Purchase
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All very good, the service and delivery was very prompt. However we wanted 'round' shaped badges. Our activities are quite physical and we feel that the corners of the 'square' ones may injure young ones. Great clarity, colour and definition.
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By Warren T.13 February 2020Verified Purchase
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Great color great finish beauty. Easy to see and read great

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Other Info

Product ID: 145665848851717219
Posted on 6/06/2011, 7:38 AM
Rating: G