# Fractals Miner

**08**
*Tuesday*
May 2018

**08**
*Tuesday*
May 2018

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**07**
*Monday*
May 2018

Posted bioinformatics, Chaos, Data Mining, Fractal Geometry

inClosing 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!

**03**
*Tuesday*
Apr 2018

**Tags**

Algorithms, Chaos, evolutionary patterns, fractals, manglar, Mathematics, Nonlinear Dynamics, plants evolution, tools

Do you see the algorithm behind this image? Hint: It corresponds to Manglar, an upcoming tool I’m building for simulating the growth of patterns. I’m still testing it.

Manglar. Coming Soon.

**30**
*Friday*
Mar 2018

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

**13**
*Tuesday*
Mar 2018

Posted Algorithms, Chaos, Data Mining, Dynamics, Fractal Geometry

inAgain, for those at the intersection of IR/Data Mining/Chaos/Fractals, check this out

Google matrix analysis of directed networks, by Leonardo Ermann, Klaus M. Frahm, and Dima L. Shepelyansky

https://arxiv.org/pdf/1409.0428.pdf

A great article.

My research career is now in its first full circle.

**06**
*Tuesday*
Mar 2018

Posted Chaos, Data Mining, Fractal Geometry, Nonlinear Dynamics, Programming, Software

inBifurcation diagrams are used in the study of dynamical systems and are applicable to a wide range of fields: from the modeling of biological populations and financial systems to the modeling of chemical reactions and nonlinear circuits, to mention a few.

We have developed a new tool for students and researchers interested in Nonlinear Dynamical Systems, called the Bifurcation Diagrams Explorer. It is available at

http://www.minerazzi.com/tools/bifurcation/diagrams.php

This tool lets you explore many of the bifurcation diagrams found in the literature, providing a visualization of the underlying behavior of a dynamical system as a parameter c is changed. We assume that you have a basic knowledge of bifurcation diagrams and dynamical systems.

The tool is powered by our Minerazzi Grapher, a lightweight PHP class that generates all kind of graphs through a web browser. No additional libraries or software needed. A great resource for introducing users to Chaos Theory.

**31**
*Saturday*
Dec 2016

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 artistâ€™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

**17**
*Saturday*
Oct 2015

Posted calculators, chemical mining, Dynamics, Fractal Geometry, IR Tools

in**Tags**

We have developed a whole new set of multidisciplinary tools for mathematics, statistics, and chemistry.

Starting today, the following are available:

**Mathematics**

CSS Fractal Studio – http://minerazzi.com/tools/fractals/studio.php

Create CSS-only 2-dimensional fractals and multifractals.

**Statistics**

Combinator – http://minerazzi.com/tools/combinator/tool.php

Compute combinations, permutations, circulations, and inversions.

**Chemistry**

Diluted Solutions Maker – http://minerazzi.com/tools/diluted-solutions/maker.php

This tool helps lab techs to prepare a set of diluted solutions from a stock solution.

VSEPR Wizard – http://www.minerazzi.com/tools/vsepr/wizard.php

This tool predicts central atom electron arrangements and molecular geometries using VSEPR data.

Acids Iteration Pattern – http://minerazzi.com/tools/acids/iteration-pattern.php

This tool uses an iteration pattern to compute the pH of acid solutions regardless of their dissociation strengths. A great example of Applied Numerical Dynamics Theory!