Fibonacci Series

Fn = Fn-1 + Fn-2,  F0 = 0,  F1 = 1

  1. (via shecarriesthefire)

    295 notes2012.06.20 0:41lowbroweye

    photoartda vincivitruvian manproportiongolden ratiospiralsfibonacci

  2. (via fuckyeahneonlights)

    high-res31 notes2012.06.08 10:04lowbroweye

    photofibonaccisequencelightschimney

  3. 14-billion-years-later: The Inherent Beauty of GeometryTo me geometry is absolutely beautiful, I find small mathematical quirks such as the relation of volume to surface area of a sphere (simple derivation of the formula) to be astounding but the following is just extraordinary.The above pentagram is pretty cool, it’s set inside a pentagon and makes up a series of isosceles triangles using sets of parallel lines (marked b) all the while making a second, inverted regular pentagon in the middle, but it gets better. The pentagram includes the golden ratio in every aspect of its design: the ratio of the length of a to b is equal to the golden ratio ((1+√5)/2 ≈ 1.618). However it doesn’t stop there, similarly the ratios b:c and c:d are also golden. To summarize: a:b = b:c = c:d =  (1+√5)/2, the golden ratio. 
    14-billion-years-later: The Inherent Beauty of GeometryTo me geometry is absolutely beautiful, I find small mathematical quirks such as the relation of volume to surface area of a sphere (simple derivation of the formula) to be astounding but the following is just extraordinary.The above pentagram is pretty cool, it’s set inside a pentagon and makes up a series of isosceles triangles using sets of parallel lines (marked b) all the while making a second, inverted regular pentagon in the middle, but it gets better. The pentagram includes the golden ratio in every aspect of its design: the ratio of the length of a to b is equal to the golden ratio ((1+√5)/2 ≈ 1.618). However it doesn’t stop there, similarly the ratios b:c and c:d are also golden. To summarize: a:b = b:c = c:d =  (1+√5)/2, the golden ratio. 

    14-billion-years-later:

    The Inherent Beauty of Geometry

    To me geometry is absolutely beautiful, I find small mathematical quirks such as the relation of volume to surface area of a sphere (simple derivation of the formula) to be astounding but the following is just extraordinary.

    The above pentagram is pretty cool, it’s set inside a pentagon and makes up a series of isosceles triangles using sets of parallel lines (marked b) all the while making a second, inverted regular pentagon in the middle, but it gets better. The pentagram includes the golden ratio in every aspect of its design: the ratio of the length of a to b is equal to the golden ratio ((1+√5)/2 ≈ 1.618). However it doesn’t stop there, similarly the ratios b:c and c:d are also golden.

    To summarize: a:b = b:c = c:d =  (1+√5)/2, the golden ratio. 

    (via neonpi)

    high-res169 notes2012.06.06 7:51lowbroweye

    mathgeometrypentagonpentagramtrianglesgolden ratio

  4. ohfuckrightoff: “Math is the language of the universe.” #fibonacci (Taken with instagram)
    ohfuckrightoff: “Math is the language of the universe.” #fibonacci (Taken with instagram)

    ohfuckrightoff:

    “Math is the language of the universe.” #fibonacci (Taken with instagram)

    (Source: heaven-in-a-little-rowboat)

    high-res34 notes2012.06.02 14:06lowbroweye

    photospiralfibonacciquote

  5. oh-insanity: The Fibonacci pinwheel made from 16 Fibonacci spirals.
    oh-insanity: The Fibonacci pinwheel made from 16 Fibonacci spirals.

    oh-insanity:

    The Fibonacci pinwheel made from 16 Fibonacci spirals.

    26 notes2012.04.27 18:33lowbroweye

    gifanimationfibonaccipinwheelspirals

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