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

 

For information on Kleinian Group fractals, see 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/.

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/.

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.

Love is love.

L’amore visto in tante forme, anche non convenzionali, anche irriverenti, ma si parla sempre di amore. Questo è quello che vedo io.

-

Enhanced vision: creating images with AI.

Love is love.

Love seen in many forms, even unconventional, even irreverent, but it is always about love. This is what I see.

 

Created using the Fractal Science Kit fractal generator.

Visioni potenziate: creando immagini con l’AI.

Visioni X.

Corpi, nudo, eros, bellezza.

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

 

For information on Kleinian Group fractals, see 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/.

A Julia fractal based on a Circle Vine 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.

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.

A Julia fractal created with 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 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 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/

 

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.

 

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

 

For information on Kleinian Group fractals, see 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/.

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.

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 Julia fractal based on a Steiner Chain orbit trap.

 

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

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.

Visione potenziata: creando immagini con l’AI

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

A Mandelbrot 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.

Visione potenziata: creando immagini con l’AI

This image was created with the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/tutorial/examples/examples.htm for details.

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.

Visioni potenziate: creando immagini con l’AI.

Love is love.

L’amore visto in tante forme, anche non convenzionali, anche irriverenti, ma si parla sempre di amore. Questo è quello che vedo io.

-

Enhanced vision: creating images with AI.

Love is love.

Love seen in many forms, even unconventional, even irreverent, but it is always about love. This is what I see.

 

A Kleinian Group 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.

Visione potenziata: creando immagini con l’AI.

Le città immaginarie.

Visione potenziata: creando immagini con l’AI.

Continuo a sperimentare per il mio piacere.

A hyperbolic transformation applied to a pattern viewed in the context of a complex transformation.

 

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

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.

An Apollonian gasket created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

 

A Julia fractal based on a Circle orbit trap.

 

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

 

Visione potenziata: creando immagini con l’AI.

Le città immaginarie.

Created using the Fractal Science Kit fractal generator.

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