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A Phoenix (Julia) fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

 

A Julia fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

 

A Julia fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

 

Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

A Kleinian Group tiling created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

 

A Julia fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

 

Visione potenziata: creando immagini con l’AI

Visione potenziata: creando immagini con l’AI

A Julia fractal created using the Fractal Science Kit fractal generator

 

Visione potenziata: creando immagini con l’AI.

Le città immaginarie.

A hyperbolic tiling created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

 

A Hyperbolic Tiling replicates a polygon over the hyperbolic plane represented by the Poincare disk in such a way as to form a hyperbolic tiling pattern. The Poincare disk is a model for hyperbolic geometry that maps the hyperbolic plane onto the unit disk.

A Julia fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

 

A Julia fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

 

A Mandelbrot fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

  

A hyperbolic tiling created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

 

A hyperbolic tiling created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

 

A Hyperbolic Tiling replicates a polygon over the hyperbolic plane represented by the Poincare disk in such a way as to form a hyperbolic tiling pattern. The Poincare disk is a model for hyperbolic geometry that maps the hyperbolic plane onto the unit disk.

A Julia fractal created with the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

A Mandelbrot fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

 

A Julia fractal based on an Isogonal Polygon orbit trap.

 

Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

A Julia fractal based on a Circle orbit trap.

 

Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

A hyperbolic tiling created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

 

Visione potenziata: creando immagini con l’AI.

Le città immaginarie.

A Julia fractal based on a Steiner Chain orbit trap.

 

Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

Visione potenziata: creando immagini con l’AI.

Continuo a sperimentare per il mio piacere.

A Julia fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

 

A Phoenix (Julia) fractal.

 

Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

A Julia fractal based on a Circle orbit trap created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

 

Julia fractals are named after the French mathematicians Gaston Julia whose work began the study of complex dynamics during the early 20th century.

A Newton fractal created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

 

Newton fractals are a visual representation of a process called the Newton–Raphson method or simply Newton's method, named after Isaac Newton and Joseph Raphson, used to find the roots of an equation.

A hyperbolic tiling created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

 

A Hyperbolic Tiling replicates a polygon over the hyperbolic plane represented by the Poincare disk in such a way as to form a hyperbolic tiling pattern. The Poincare disk is a model for hyperbolic geometry that maps the hyperbolic plane onto the unit disk.

Visioni potenziate: creando immagini con l’AI.

Le città immaginarie.

Visioni potenziate: creando immagini con l’AI.

Continuo a sperimentare per il mio piacere.

-

Enhanced vision: creating images with AI.

I continue to experiment for my own pleasure.

Inspired by Daniel Shiffman #10Print coding challenge (The Coding Train shiffman.net/ ). the basic form based on my Permutation011 sculpture. When constructive art meets generative art :-)

A Kleinian Group tiling created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

 

This fractal is based on an IFS formed from a set of Mobius transformations, and was created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

 

The method used to produce this image is based on information in the book "Indra's Pearls - The Vision of Felix Klein" by David Mumford, Caroline Series, and David Wright. For additional details, see David Wright's "Indra's Pearls" site klein.math.okstate.edu/IndrasPearls/.

Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

A hyperbolic tiling created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

 

A Hyperbolic Tiling replicates a polygon over the hyperbolic plane represented by the Poincare disk in such a way as to form a hyperbolic tiling pattern. The Poincare disk is a model for hyperbolic geometry that maps the hyperbolic plane onto the unit disk.

A Julia fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

 

A Julia fractal based on a Sierpinski Square L-System orbit trap created with the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

 

The Sierpinski Square is named after the Polish mathematician Waclaw Sierpinski.

A Julia fractal based on an Isogonal Polygon orbit trap.

 

Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

A Mandelbrot fractal based on an Cross orbit trap.

 

Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

Created using the Fractal Science Kit fractal generator.

A Mandelbrot fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

 

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