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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.
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Enhanced vision: creating images with AI.
I continue to experiment for my own pleasure.
A Mobius Pattern IFS fractal formed from a set of Mobius transformations viewed in the context of a hyperbolic tiling.
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.
Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.
The method used to produce the Mobius Pattern 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 Julia fractal based on a Daisy orbit trap.
Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.
A Newton fractal 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.
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.
An Apollonian gasket 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/
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 hyperbolic tiling created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/
I have released version 1.23 of the Fractal Science Kit fractal generator.
See www.fractalsciencekit.com/ for details.
This image was created with the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/tutorial/examples/examples.htm for details.
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 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.
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.
Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.
A [6,4] Hyperbolic Tiling created with 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 [p,q] regular tiling of the hyperbolic plane maps a hyperbolic polygon with p sides over the hyperbolic plane such that q polygons meet at each polygon vertex.
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.
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 Newton fractal 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.
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.
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/tutorial/examples/examples.htm 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.
A Mandelbrot fractal based on an Cross 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/
A Julia fractal 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.
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.
Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.
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.
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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. 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.
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.
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.
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.
Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/tutorial/examples/examples.htm for details.
A Kleinian Group fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/