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Cool Math geek Text Art: Fermat's Spiral Poster

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Paper Type: Value Poster Paper (Semi-Gloss)

Your walls are a reflection of your personality, so let them speak with your favorite quotes, art, or designs printed on our custom Giclee posters! High-quality, microporous resin-coated paper with a beautiful semi-gloss finish. Choose from standard or custom size posters and framing options to create art that’s a perfect representation of you.

  • Gallery quality Giclee prints
  • Ideal for vibrant artwork and photo reproduction
  • Semi-gloss finish
  • Pigment-based inks for full-color spectrum high-resolution printing
  • Durable 185gsm paper
  • Available in custom sizing up to 152.4 cm
  • Frames available on all standard sizes
  • Frames include Non-Glare Acrylic Glazing

About This Design

Cool Math geek Text Art: Fermat's Spiral Poster

Cool Math geek Text Art: Fermat's Spiral Poster

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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Other Info

Product ID: 228080898370359479
Designed on 2011-06-06, 2:14 AM
Rating: G