AlgorithmicArt photos on Flickr

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 by Alessandro Gaziano

15 3

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 by Alessandro Gaziano

5 1

Visione potenziata: creando immagini con l’AI.

Le città immaginarie.

Visioni, girl by Alessandro Gaziano

8 1

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.

Moonstone by Ross Hilbert

16 10

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.

Spiral Dance by Ross Hilbert

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A Julia fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

Fragments 2020 by Herr Markant

3

Time Crystal by Ross Hilbert

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A Julia fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

Alternate Flow by Ross Hilbert

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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/.

Happy St. Patrick's Day by Ross Hilbert

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Happy St. Patrick's Day

Trapped by Ross Hilbert

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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 by Alessandro Gaziano

16 2

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.

Marioneta by Escaramon

17 7

x-default by Steve Bussey

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x-default

Visioni by Alessandro Gaziano

7 1

Visione potenziata: creando immagini con l’AI

Converging Timelines by Ross Hilbert

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

Samurai Warrior I by Ross Hilbert

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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.

Visioni by Alessandro Gaziano

5

Visione potenziata: creando immagini con l’AI

Filling in the Gaps by Ross Hilbert

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

Red Giant II by Ross Hilbert

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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.

The Mountains of Mercury by Ross Hilbert

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

Glide Path by Steve Bussey

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www.stevebussey.com

Hyperbolic Pattern 11 by Ross Hilbert

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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 by Alessandro Gaziano

19

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.

Point of Order by Ross Hilbert

12 4

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

Transcendental Chaos by Ross Hilbert

12 11

A Julia fractal based on a Circle orbit trap.

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

Visioni by Alessandro Gaziano

5

Visione potenziata: creando immagini con l’AI.

Le città immaginarie.

Coral Sea Star by Ross Hilbert

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Created using the Fractal Science Kit fractal generator.

Frame of Mind by Ross Hilbert

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A Julia fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

Bending the Rules by Ross Hilbert

10 9

A Julia fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

Hyperbolic Circus by Ross Hilbert

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A hyperbolic tiling created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

Finding Balance by Ross Hilbert

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

Norse Shield III by Ross Hilbert

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An IFS fractal created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.

Visioni by Alessandro Gaziano

15 2

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.

Solar Energy by Ross Hilbert

18 9

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.

Arachne's Web by Ross Hilbert

13 10

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

Visioni by Alessandro Gaziano

43 1

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.

Forest at Dusk by Ross Hilbert

12 9

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.

City of Brass by Ross Hilbert

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A Julia fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

Points of Attraction by Ross Hilbert

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

Potential Energy by Ross Hilbert

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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.

Visioni by Alessandro Gaziano

20 1

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.

Fluid Framework by Ross Hilbert

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A Mandelbrot fractal created using the Fractal Science Kit fractal generator - www.fractalsciencekit.com/

3-cl by v4w.enko

8 3