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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 Julia 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.

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Enhanced vision: creating images with AI.

I continue to experiment for my own pleasure.

 

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 Julia fractal based on a Circle Vine 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.

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 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 - 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.

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

 

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

 

A Julia fractal based on a Circle orbit trap.

 

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.

Created using the Fractal Science Kit fractal generator.

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

 

Visione potenziata: creando immagini con l’AI

A Julia 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 Julia fractal based on an Isogonal Polygon 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. 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.

-

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 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.

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.

In this digital portrait, we see Henrietta Swan Leavitt (1868–1921), a woman whose intellectual rigour fundamentally altered our perception of the cosmos. Working at the Harvard College Observatory at a time when women were often excluded from positions of formal scientific leadership, Leavitt served as one of the institution’s “human computers,” tasked with cataloguing and measuring the brightness of thousands of stars on photographic plates.

 

It was through this painstaking, meticulous labour that Leavitt achieved her breakthrough. By studying Cepheid variable stars - stars that pulsate with a rhythmic brightness - she discovered a precise, quantifiable relationship between their pulse period and their absolute luminosity.

 

Before her discovery, the universe was a mystery of unknown scale. Her findings provided astronomers with a "standard candle" - a reliable cosmic yardstick. By measuring how quickly a star pulses, astronomers could determine its true brightness and, by comparing that to how dim it appears from Earth, calculate its distance. This revelation was the key that unlocked the scale of the universe, eventually allowing astronomers like Edwin Hubble to prove that galaxies exist far beyond our own Milky Way.

 

This image creation pays homage not just to the scientific achievement, but to the quiet, persistent intellect that defined her life and work, forever changing our understanding of our place in the vastness of space.

 

Note: This image was created using an AI tool, Google Gemini, as part of my creative process and refined in Lightroom / Luminar Neo. While I strive for realism, this is a digital generation and not a photograph.

 

2026 Keith Jones All Rights Reserved.

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 hyperbolic tiling 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/

 

Reso Morphology Existance

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.

Visione potenziata: creando immagini con l’AI

Created using the Fractal Science Kit fractal generator.

An IFS 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.

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

 

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.

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