Mandelbrot Set
2015-12-12, post № 89
mathematics, programming, Pygame, Python, #colorful, #complex, #fractal, #f_c(z) = z^2 + c, #imaginary, #iterating, #iteration, #Mandelbrot, #repeating, #self-repeathing, #set
Working with complex numbers and iterating the function 
, I created this program which lets you explore the depth of this self-repeating fractal. The different colors are caused by different color schemes.
Controls
- Left mouse click and mouse movements control the zoom frame,
- Middle mouse click zooms in,
- ‘Space’ takes a screenshot,
- ‘F1’ moves a zoom back,
- ‘F2’ zooms to default zoom.
Source code: mandelbrot-set.py
Extra assets: mandelbrot-set-000.png, mandelbrot-set-001.png, mandelbrot-set-002.png, mandelbrot-set-003.png, mandelbrot-set-004.png, mandelbrot-set-005.png, mandelbrot-set-006.png, mandelbrot-set-007.png, mandelbrot-set-008.png, mandelbrot-set-009.png, mandelbrot-set-010.png, mandelbrot-set-011.png, mandelbrot-set-012.png, mandelbrot-set-013.png, mandelbrot-set-014.png, mandelbrot-set-015.png, mandelbrot-set-016_-6.75_-4.5_6.75_4.5.png, mandelbrot-set-017_-0.9000000000000004_-0.3250000000000002_-0.6624999999999996_0.0.png, mandelbrot-set-018_-0.17750835905349785_-1.04787792924097_-0.13265217764060344_-1.0179738082990402.png, mandelbrot-set-019_-0.1623148148148149_-1.0489506172839502_-0.15666666666666673_-1.0451851851851848.png, mandelbrot-set-020_-2.1125_-0.07500000000000018_-1.3624999999999998_0.037499999999999645.png, mandelbrot-set-021_-1.4625000000000004_-0.13750000000000018_-1.1875_0.13750000000000018.png, 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