February 2012
22 posts
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January 2012
40 posts
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Music generated with Otomata! Continuous variation in the parameter “a” starting at a = 0 Unknown code parameters : r, a(final), s
Visuals created with Mathematica code:
Manipulate[
Graphics[
Line[
Table[
{-r^n*Sin[n*a], r^n*Cos[n*a]}, {n, 0, s}]],
PlotRange -> .01],
{r, .1, 1}, {a, 0.001, 4*Pi, .00001}, {s, 1, 10000, 1]
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Music: “The Star Compass” by Tim Hecker
Created with Mathematica code:
Manipulate[
Graphics[
Line[
Table[
{-Sin[n*a], Cos[n/a]}, {n, 0, 800}]],
PlotRange -> 1.3],
{a, 11.396, 11.621, .0001}]
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Music: “The New Anthem” by Jan Jelinek & Computer Soup Created with Mathematica code:
Manipulate[
Graphics[
Line[
Table[
{-.999^n*Sin[n*a], .999^n*Cos[n/a]}, {n, 0, 200}]],
PlotRange -> 1.3],
{a, 3, 3.78, .0001}]
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Anonymous asked: Love your blog!! Can you share with us your other favorite tumblrs?
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(500x500)
Mathematica code:
Animate[ DensityPlot[ Sin[r*Abs[(x + I y)^1.1]], {x, -1.25, 1.25}, {y, 0, 2.5}, PlotPoints -> 27, Mesh -> False, Frame -> False, ColorFunction -> Hue], {r, 88.5, 68.5, .5}]
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(view high-res still at r=1234.3 here)
Mathematica code:
Animate[ DensityPlot[ Sin[r*Abs[(x + I y)^2]], {x, -2.5, 2.5}, {y, -2.5, 2.5}, PlotPoints -> 50, Mesh -> False, Frame -> False, ColorFunction -> Hue], {r,1234.7, 1235.7, .1}]
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The “I” is the root of one’s negativity. It is imaginary.
In math, the imaginary unit is defined as the square root of negative one:
\[ i = \sqrt{-1} \] For some motivation, consider what values for x satisfy the following equation \[ x^2 = 1 \] Both +1 and -1 work.
Instead, try to think of values for x that satisfy this equation
\[ x^2 = -1 \] No real number does!...
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Mathematica code:
Animate[ DensityPlot[ Sin[r*Abs[(x + I y)]], {x, -2.5, 2.5}, {y, -2.5, 2.5}, PlotPoints -> 15, Mesh -> False, Frame -> False, ColorFunction -> Hue], {r, 1982.2, 1983.1, .1}]
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Mathematica code:
Animate[ DensityPlot[ Sin[r*Cos[.4]*Abs[(x + I y)^2]], {x, -2.5, 2.5}, {y, -2.5, 2.5}, PlotPoints -> 27, Mesh -> False, Frame -> False, ColorFunction -> Hue], {r, 113.4, 114, .02}]
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