Some fun with strange attractors. Click on pictures.
Wednesday, October 24, 2007
How many dimensions?
This two-dimensional object looks like one-dimensional something in three-dimensional space...
x ↦ 0.3981160189010760y² - 0.4487560197417530xy -
0.8160548523878250y - 0.3099618651184830x² + 0.1783832997762290x +
0.5110094718235660
y ↦ -2.14401532324836y² + 1.95300655101845xy + 2.11158162596699y
- 0.7893644947161330x² - 1.65414134432414x + 0.7642494383138650
Starting point (0,1;0,5); 50000 iterations; first 200 are not drawn. Click to get 300 dpi version.
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