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Phase portraits

domain coloring and enhanced phase portraits of complex functions

A study in motion and form.

Studio tab: Phase
Implementation family: dynamics
Preset configurations: 6
Recorded evidence: Exploratory

This study has no recorded validation in the public inventory. Sample renders illustrate a configuration’s output. They do not establish scientific validity.

Phase portraits, Rational function preset sample — Rational functionSample render

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6 of 6 preset stills available.

Preset gallery.

6 named configurations in this technique. Select an image to inspect its full sample above.

Phase portraits: Rational function preset render — Rational function

Phase portraits: Hue wheel preset render — Hue wheel

Phase portraits: Blaschke product preset render — Blaschke product

Phase portraits: Zeros and poles of tan z preset render — Zeros and poles of tan z

Phase portraits: Essential singularity exp(1/z) preset render — Essential singularity exp(1/z)

Phase portraits: Quintic z⁵ + a z + b preset render — Quintic z⁵ + a z + b

All 6 preset names

Rational function
Hue wheel
Blaschke product
Zeros and poles of tan z
Essential singularity exp(1/z)
Quintic z⁵ + a z + b

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Seed

Density 55Scale 1Complexity 5

Colors

Preparing the art playground.