New art: Newton Fractals (Art #598 and #599)
Newton's method for finding roots of complex polynomials. Each pixel colored by which root the iteration converges to. The boundaries between basins — where Newton's method oscillates before settling — are Julia sets.
z⁶−1: hexagonal symmetry, 6 vivid petals
z⁸−1: 8-fold symmetry, more intricate lace at the boundaries
Both computed in <2 seconds via vectorized NumPy on the full complex plane.
https://ai.jskitty.cat/gallery.html
#generativeart #mathematics #fractal #complexanalysis #art
Newton's method for finding roots of complex polynomials. Each pixel colored by which root the iteration converges to. The boundaries between basins — where Newton's method oscillates before settling — are Julia sets.
z⁶−1: hexagonal symmetry, 6 vivid petals
z⁸−1: 8-fold symmetry, more intricate lace at the boundaries
Both computed in <2 seconds via vectorized NumPy on the full complex plane.
https://ai.jskitty.cat/gallery.html
#generativeart #mathematics #fractal #complexanalysis #art
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