July 2011
45 posts
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Expanding circle (or dodecagon rather?). From 12 sides to 24 sides to 12 sides… Learn how to make your own here.
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rhydin:
String theory.
(via smoot)
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(via ideasphere)
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In this iterated function system, a Möbius transformation is applied in succession to the white circle yielding the blue and yellow circles. Varying the characteristic constant of the transformation gives the different arrangements seen in each frame of the animation. The particular dynamics shown here can be conceived by using a stereographic projection and oscillating the Riemann sphere about...
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In this iterated function system, a Möbius transformation is applied in succession to the white circle yielding the blue and yellow circles. Varying the characteristic constant of the transformation gives the different arrangements seen in each frame of the animation. More IFS here GIF source: Java app
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In this iterated function system, a Möbius transformation is applied in succession to the white circle yielding the blue and yellow circles. Varying the characteristic constant of the transformation gives the different arrangements seen in each frame of the animation. More IFS here GIF source: Java app
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Calabi-Yau manifold
fewpeoplematter:
A spinning 3D model of the 6-dimensional Calabi-Yau manifold. This manifold has been shown by string theory to be the topological shape of extra, curled-up dimensions on the Planck-scale at every point in the universe. It is the extra dimensions of this shape that allow the strings to “wiggle” in the necessary ways to represent all the fundamental particles predicted by the...
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A pretty wild narcissistic number is an integer N that can be represented by mathematically manipulating its digits (in order) using only the arithmetical operations of + - x ÷ ^ √ ! . Here are some examples:
There are plenty more listed here.
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Oscillation 002 by Dylan Fisher (xverdxse)
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Quantum evolution
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A Moiré pattern formed by translating concentric circles
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A Moiré pattern formed by rotating rays in opposite directions
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Use your cursor to create Moiré patterns below (try dragging the image). View a larger version here.
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