Fractals Miner

Tags

Fractal Analysis, Fractal Geometry, Fractal Growth, fractals, Visualization Tools

Fractals Miner: Fractal Patterns and Growth Phenomena – Theory, Experiments, & more. Available now at

http://minerazzi.com/fractals/

Research the fractal geometry literature. Use the images tool below a result to view beautiful patterns or recrawl search results to build your own curated collection.

Note: Image below was created with Manglar, an experimental tool under development.

 

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On Fractal Topography and Scale-Invariance

Tags

Fractal Analysis, Fractal Geometry, Fractal Topography, fractals, Scale-Invariance

Closing a gap in the fractal geometry theory: Definition of fractal topography to essential understanding of scale-invariance.

https://www.nature.com/articles/srep46672.pdf

One year old, but very relevant these days. Very important and enlightening research article.

A better understanding of scale-invariance by means of defining fractal topography opens the door to many practical applications. This was something loosely suggested in the literature, but not fully addressed. Great job!

The Chaos Game Explorer Tool

Tags

Algorithms, Chaos, Chaos Game, Fractal Geometry, fractals, Mathematics, software tools

The Chaos Game Explorer is our most recent tool. It was developed to help users replicate many of the patterns found in the fractal geometry literature. The tool is available at

http://www.minerazzi.com/tools/chaos-game/chaos-game.php

Mining Brain Disorders with Fractal Geometry

Tags

Algorithms, Data Mining, Fractal Analysis, Fractal Geometry, fractals, Mathematics, statistics

Fractal Geometry does it again! Happy to see fractal analysis being implemented as both a data mining and analysis tool.

A new University of Liverpool (1) study published in Neuropsychology! (2) indicates that it may be possible to detect Alzheimer’s, Parkinson’s and other neurodegenerative disorders in artists before they are diagnosed.

The abstract (2, 3) of What paint can tell us: A fractal analysis of neurological changes in seven artists. and authored by Forsythe, Alex; Williams, Tamsin; Reilly, Ronan G.
Neuropsychology, Vol 31(1), Jan 2017, 1-10 states and quote:

“Can age-indexed variations in the fractal dimension of the works of artists anticipate specific cognitive deteriorations?

Method: To answer this question we analysed age-related variations in the fractal dimension of a large corpus of digital images (n = 2092) of work created by seven notable artists who experienced both normal ageing and neurodegenerative disorders.

Results: The results of our analysis showed that patterns of change in the fractal dimension of the paintings differentiated artists who suffered neurological deterioration from those of normal aging controls.

Conclusions: These findings are of importance for two reasons. Our work adds to studies that demonstrate that fractal analysis has the potential to determine the provenance of paintings. Secondly, our work suggests that may be possible to identify a-typical changes in the structure of an artist’s work; changes that may be early indicators of the onset of neurological deterioration.”

End of the quote.

References

1. https://news.liverpool.ac.uk/2016/12/29/can-paint-strokes-help-identify-alzheimers/
2. http://psycnet.apa.org/journals/neu/31/1/1/
3. http://dx.doi.org/10.1037/neu0000303