Geometry and tilings

Holomorphic dynamics

escape-time and Newton basins in the complex plane

A study in motion and form.

Studio tab: Holomorphic
Implementation family: dynamics
Preset configurations: 9
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.

Holomorphic dynamics, Seahorse valley preset sample — Seahorse valleySample render

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9 of 9 preset stills available.

Preset gallery.

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

Holomorphic dynamics: Seahorse valley preset render — Seahorse valley

Holomorphic dynamics: Distance estimate preset render — Distance estimate

Holomorphic dynamics: Douady rabbit preset render — Douady rabbit

Holomorphic dynamics: Dendrite preset render — Dendrite

Holomorphic dynamics: Siegel disk preset render — Siegel disk

Holomorphic dynamics: Newton z⁵ − 1 preset render — Newton z⁵ − 1

Holomorphic dynamics: Burning Ship preset render — Burning Ship

Holomorphic dynamics: Cubic z³ + c preset render — Cubic z³ + c

Holomorphic dynamics: Sine family c·sin z preset render — Sine family c·sin z

All 9 preset names

Seahorse valley
Distance estimate
Douady rabbit
Dendrite
Siegel disk
Newton z⁵ − 1
Burning Ship
Cubic z³ + c
Sine family c·sin z

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reaction-diffusion on a {p,q} tiling

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the random curve of critical two-dimensional systems

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rotor-router aggregation and internal DLA

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