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processing january, 2004 j.tarbell
based
on code by Paul
Bourke
technique invented by Melinda
Green |
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200 x 200 pixels
bailout at 200 |
500 x 500 pixels
bailout at 200 |
800 x 800 pixels
bailout at 200 |
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The Buddhabrot Set is a re-visualization of the
familiar Mandelbrot Set using a technique invented by Melinda Green.
Instead of selecting points on the real-complex plane, initial points
are selected at random from the image region. The point is iterated
through the function, z = zˆ2 + c, where z has components in
both the real and imaginary planes.
If the particle escapes (exits the viewing area with high speed),
its path is reiterated, exposing its position onto the image surface
with each step. In this fashion, areas of dense particle travel appear
bright white. The result is an amazing universe of structure, spirituality,
and mathematical intrigue. |
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0002 20 billion
pixel exposures,
bailout value 200 |
0001 10 billion
pixel exposures,
bailout value 2000 |
0000 5 billion
pixel exposures,
bailout value 20000 |
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The extent at which a particle is judged to have
escaped is variable. Changing this value produces drastically different
results. In the three images above, the bailout (escape value) has
been set at three consecutive powers of 10.
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1000 Detail composite
zoom of head, each bailout value level occupies a unique color channel. |
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| Green makes another suggestion about how one might
color the Buddhabrot while increasing the data represented in the
image. Simply assign each color channel (red, green, blue) the rendering
results of different bailouts, similar to the way light is collected
and combined with an optical space telescope. Astonishingly, this
holographic technique of rendering the Buddhabrot generates images
reminiscent of distant cosmic structures as viewed by the Hubble Space
Telescope. |
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3000 100 billion pixel
exposures, bailout value of 20, three hours desktop processing time, reduced
80% |
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3001 20 billion pixel
exposures, bailout value of 200, three hours desktop processing time, reduced
80% |
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3002 10 billion pixel
exposures, bailout value of 2,000, three hours desktop processing time,
reduced 80% |
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3003 5 billion pixel
exposures, bailout value of 20,000, three hours desktop processing time,
reduced 80% |
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| 1111 Jared Tarbell and large format Buddhabrot print. |
A large format gallery quality print of the Buddha.Brot composited with galatic data from the Hubble Space Telescope is available for sale.
Open edition. Black and white giclée on acid-free heavyweight watercolor paper.
Titled and signed by the programmer, Jared Tarbell. |
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| ONE A super collage from three exponential bail out values combined with NASA's Hubble Deep Field survey. |
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