Phase Stripes Surf The Newton Flow Animation

henningsittler · October 11

"This is a living map of a complex rational field: cool regions are root-dominant (|R|<1), warm regions are pole-dominant (|R|>1), where R is the complex rational function. Phase stripes come from arg S (the logarithmic derivative of our complex field R) and particles surf the Newton flow."

@mathelirium post on X:

https://x.com/mathelirium/status/1976867742742397176

$Abstract animated visualization starts with colorful swirling patterns in blue orange and red hues forming fractal-like structures around central points suggesting mathematical mappings Particles appear to flow dynamically across the field following curved trajectories indicative of Newton flow lines The animation evolves showing phase variations through striped color gradients transitioning between cool and warm tones representing root and pole dominance in the complex rational function No text overlays or subtitles visible in sampled frames A watermark from Mathelirium is present in the first frame$

henningsittler · October 11

ZIP file containing MP4 video animation of above image.

Phase Stripes Surf The Newton Flow Animation

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