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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.
A hyperbolic tiling created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/
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/
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/.
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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/.
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 - www.fractalsciencekit.com/
This image was created with 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.
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 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.
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 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.
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 Newton fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/
A Mandelbrot fractal based on an Cross orbit trap.
Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.
A fractal based on the Apollonian Gasket.
Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.
The method used to produce this image was inspired by information found on the "Fractal Geometry" page classes.yale.edu/fractals/ by Michael Frame, Benoit Mandelbrot, and Nial Neger.
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 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.
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/.
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 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 [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.
A Newton 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.
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/.
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/
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/
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/.
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/.