Fractals Algorithmic composition Andrzej Sandel Burning Ship - - PowerPoint PPT Presentation

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Fractals Algorithmic composition Andrzej Sandel Burning Ship - - PowerPoint PPT Presentation

Fractals Algorithmic composition Andrzej Sandel Burning Ship Fractal First described and created in 1992 by Michael Michelitsch and Otto E. Rssler Its created by from iterating the function: zn+1 = ( | Re(zn) | + i | Im (zn) |


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Fractals

Algorithmic composition

Andrzej Sandel

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Burning Ship Fractal

  • First described and created in 1992 by

Michael Michelitsch and Otto E. Rössler

  • It’s created by from iterating the

function: zn+1 = ( | Re(zn) | + i | Im (zn) | )2 + p The green level assigned to each point (cx,cy) is determ ined by how fast the series tends to

  • infinity. For example, the points shown in black in the center of the form don't ever diverge to
  • infinity. The points shown in dark green diverge very quickly.

Andrzej Sandel

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Fractal is "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,“ Mandelbrot, B.B. Fractals can have many diffrent applications for example:

  • In medicine
  • In computer graphic
  • In computer and video game design
  • Seismology
  • Generation art forms
  • In image and signal compression
  • In Fractal antennas
  • Fractal analisis in music
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Fractal noise transformation

Finding forms and materials

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  • Looking for materials

and lights

Andrzej Sandel

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Final objects

Andrzej Sandel

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Andrzej Sandel

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Light from different directions

Andrzej Sandel

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Andrzej Sandel

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Andrzej Sandel

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Andrzej Sandel