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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.
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 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.
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 [4,6] 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.
A hyperbolic transformation applied to a Rep-Tile IFS fractal formed from a set of Affine transformations.
Created with the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.
The method used to produce this image is based on Rep-N Tile attractors. The term Rep-Tile (replicating figures on the plane) was coined by mathematician Solomon W. Golomb in 1962. See the Rep-Tile page at mathworld.wolfram.com/Rep-Tile.html for a brief description.
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.
An IFS fractal created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.
My redition of a fractal discovered by Dennis C. De Mars, the developer of the Fractal Domains fractal generator.
Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.
A Schottky 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.
A hyperbolic 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/.
A Mobius Patterns IFS fractal formed from a set of Mobius transformations.
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 - 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 Hyperbolic Tiling created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/
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.
The method used to produce this image was inspired by work done by Pablo Roman Andrioli (Kali).
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.
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.
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.
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 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.
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.
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/).
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 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.
A fractal based on an IFS formed from a set of Mobius transformations 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 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/
I have released version 1.23 of the Fractal Science Kit fractal generator.
See www.fractalsciencekit.com/ 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.
An Apollonian gasket 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.