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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.
A Julia fractal 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.
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 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/ for details.
A hyperbolic tiling 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.
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/.
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.
A Newton fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/
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.
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 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.
A Newton fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/
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.
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 Mandelbrot fractal based on an Cross orbit trap.
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/.
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.
Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.
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 [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/
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. 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.