Key Researchers in P4M Symmetry & Fractal Geometry: A Comprehensive Guide
Genspark
Jul 15, 2025
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Generated with sparks and insights from 8 sources

Based on my research, I can provide you with information about researchers and internet personas who work with fractals, symmetry, and mathematical visualization, particularly those focusing on P4M symmetry and Cantor sets. Here's a comprehensive overview:

Key Researchers and Artists in P4M Symmetry and Fractal Work

Frank A. Farris - Mathematical Symmetry Art Pioneer

  • Institution: Santa Clara University (Chair of Mathematics and Computer Science)
  • Contact: Available through contact form1 or phone: 408-554-4430
  • Specialization: Frank Farris is a leading expert in wallpaper groups and mathematical symmetry art. He creates digital artworks classified by the 17 wallpaper groups, including P4M patterns Santa Clara University2
  • Publications: Author of "Creating Symmetry: The Artful Mathematics of Wallpaper Patterns" (Princeton University Press, 2015)
  • Website: webpages.scu.edu/ftp/ffarris/3

Douglas Dunham - Fractal and Wallpaper Pattern Expert

  • Institution: University of Minnesota Duluth (Professor Emeritus)
  • Email: ddunham@d.umn.edu
  • Phone: +1 218 726 7510
  • Specialization: Develops algorithms for creating locally fractal yet globally periodic wallpaper patterns. Works with multiple wallpaper groups including P4M variations University of Minnesota Duluth4
  • Research Focus: Fractal patterns, hyperbolic geometry, repeating patterns, and M.C. Escher's art

Richard Taylor - Fractal Psychology and Physics Expert

  • Institution: University of Oregon (Head of Physics Department)
  • Email: rpt@uoregon.edu
  • Phone: 541-346-4741
  • Specialization: Studies fractals in physics, psychology, art, and nature. Leads interdisciplinary research on physiological responses to fractal patterns University of Oregon5
  • Research Focus: Fractal expressionism, natural pattern analysis, bio-inspired applications

Mike Field - Chaos and Symmetry Dynamics

  • Institution: UC Santa Barbara (Mechanical Engineering)
  • Email: mikefield@gmail.com (preferred) or mjfield@ucsb.edu
  • Specialization: Dynamical systems with symmetry, chaos theory, and mathematical visualization. Co-author of "Symmetry in Chaos" UC Santa Barbara6
  • Research Focus: Network dynamics, symmetric fractals, mathematical art applications

Slavik Jablan - Symmetry and Ornamental Theory

  • Institution: Mathematical Institute, Belgrade (deceased 2015)
  • Historical Contact: jablans@mi.sanu.ac.yu
  • Legacy: Author of "Theory of Symmetry and Ornament" and pioneered visual mathematics approaches EMIS7
  • Contribution: Developed comprehensive theories connecting mathematical symmetry to ornamental design

Fractal Foundation and Community Resources

Fractal Foundation

  • Contact: jonathan@fractalfoundation.org
  • Website: fractalfoundation.org8
  • Focus: Educational outreach and fractal presentations in New Mexico

Mathematical Organizations

  • American Mathematical Society: Features mathematical imagery galleries including symmetry work
  • European Society of Mathematics and Art (ESMA): International network for math-art collaborations

Limitations and Current Status

Unfortunately, finding activists or internet personas who specifically focus on P4M symmetry with inverted Cantor sets with publicly available contact emails similar to the reference you provided is challenging because:

  1. P4M symmetry is a very specific mathematical concept (4-fold rotational symmetry with mirror planes)
  2. Inverted Cantor sets are an even more specialized area within fractal geometry
  3. Most serious researchers in these fields work within academic institutions rather than as independent internet personas
  4. Contact information is typically institutional rather than personal email addresses

The researchers I've identified work with related concepts:

  • Wallpaper groups (which include P4M)
  • Fractal geometry (which includes Cantor set variations)
  • Mathematical symmetry visualization
  • Fractal art and applications

Recommendation

For finding practitioners specifically focused on P4M symmetry with inverted Cantor sets, I recommend:

  1. Contacting the researchers above - they may know specialists in your exact area of interest
  2. Checking academic conferences like Bridges (mathematics and art) or fractal geometry symposiums
  3. Exploring specialized forums like Fractal Forums or mathematical visualization communities
  4. Searching recent publications in journals like "Fractals" or "Symmetry"

The field you're interested in represents a very specialized intersection of mathematical concepts, so finding dedicated activists may require direct networking within the academic mathematical art community.


Appendix: Supplementary Video Resources

<div class="-md-ext-youtube-widget"> { "title": "The Cantor Set and Geometric Series", "link": "https://www.youtube.com/watch?v=SgiYkiXPibk", "channel": { "name": ""}, "published_date": "Feb 18, 2013", "length": "15:32" }</div>

<div class="-md-ext-youtube-widget"> { "title": "Fractals: Koch Curve, Cantor Set, Non-Integer Dimension", "link": "https://www.youtube.com/watch?v=Zt93gdydmbM", "channel": { "name": ""}, "published_date": "Apr 26, 2021", "length": "18:34" }</div>

<div class="-md-ext-youtube-widget"> { "title": "journey into fractals: the Cantor set and ternary expansion.", "link": "https://www.youtube.com/watch?v=aZUMjCRIqyA", "channel": { "name": ""}, "published_date": "Jul 15, 2023", "length": "20:58" }</div>

Generated with sparks and insights from 8 sources

Based on my research, I can provide you with information about researchers and internet personas who work with fractals, symmetry, and mathematical visualization, particularly those focusing on P4M symmetry and Cantor sets. Here's a comprehensive overview:

Key Researchers and Artists in P4M Symmetry and Fractal Work

Frank A. Farris - Mathematical Symmetry Art Pioneer

  • Institution: Santa Clara University (Chair of Mathematics and Computer Science)
  • Contact: Available through contact form1 or phone: 408-554-4430
  • Specialization: Frank Farris is a leading expert in wallpaper groups and mathematical symmetry art. He creates digital artworks classified by the 17 wallpaper groups, including P4M patterns Santa Clara University2
  • Publications: Author of "Creating Symmetry: The Artful Mathematics of Wallpaper Patterns" (Princeton University Press, 2015)
  • Website: webpages.scu.edu/ftp/ffarris/3

Douglas Dunham - Fractal and Wallpaper Pattern Expert

  • Institution: University of Minnesota Duluth (Professor Emeritus)
  • Email: ddunham@d.umn.edu
  • Phone: +1 218 726 7510
  • Specialization: Develops algorithms for creating locally fractal yet globally periodic wallpaper patterns. Works with multiple wallpaper groups including P4M variations University of Minnesota Duluth4
  • Research Focus: Fractal patterns, hyperbolic geometry, repeating patterns, and M.C. Escher's art

Richard Taylor - Fractal Psychology and Physics Expert

  • Institution: University of Oregon (Head of Physics Department)
  • Email: rpt@uoregon.edu
  • Phone: 541-346-4741
  • Specialization: Studies fractals in physics, psychology, art, and nature. Leads interdisciplinary research on physiological responses to fractal patterns University of Oregon5
  • Research Focus: Fractal expressionism, natural pattern analysis, bio-inspired applications

Mike Field - Chaos and Symmetry Dynamics

  • Institution: UC Santa Barbara (Mechanical Engineering)
  • Email: mikefield@gmail.com (preferred) or mjfield@ucsb.edu
  • Specialization: Dynamical systems with symmetry, chaos theory, and mathematical visualization. Co-author of "Symmetry in Chaos" UC Santa Barbara6
  • Research Focus: Network dynamics, symmetric fractals, mathematical art applications

Slavik Jablan - Symmetry and Ornamental Theory

  • Institution: Mathematical Institute, Belgrade (deceased 2015)
  • Historical Contact: jablans@mi.sanu.ac.yu
  • Legacy: Author of "Theory of Symmetry and Ornament" and pioneered visual mathematics approaches EMIS7
  • Contribution: Developed comprehensive theories connecting mathematical symmetry to ornamental design

Fractal Foundation and Community Resources

Fractal Foundation

  • Contact: jonathan@fractalfoundation.org
  • Website: fractalfoundation.org8
  • Focus: Educational outreach and fractal presentations in New Mexico

Mathematical Organizations

  • American Mathematical Society: Features mathematical imagery galleries including symmetry work
  • European Society of Mathematics and Art (ESMA): International network for math-art collaborations

Limitations and Current Status

Unfortunately, finding activists or internet personas who specifically focus on P4M symmetry with inverted Cantor sets with publicly available contact emails similar to the reference you provided is challenging because:

  1. P4M symmetry is a very specific mathematical concept (4-fold rotational symmetry with mirror planes)
  2. Inverted Cantor sets are an even more specialized area within fractal geometry
  3. Most serious researchers in these fields work within academic institutions rather than as independent internet personas
  4. Contact information is typically institutional rather than personal email addresses

The researchers I've identified work with related concepts:

  • Wallpaper groups (which include P4M)
  • Fractal geometry (which includes Cantor set variations)
  • Mathematical symmetry visualization
  • Fractal art and applications

Recommendation

For finding practitioners specifically focused on P4M symmetry with inverted Cantor sets, I recommend:

  1. Contacting the researchers above - they may know specialists in your exact area of interest
  2. Checking academic conferences like Bridges (mathematics and art) or fractal geometry symposiums
  3. Exploring specialized forums like Fractal Forums or mathematical visualization communities
  4. Searching recent publications in journals like "Fractals" or "Symmetry"

The field you're interested in represents a very specialized intersection of mathematical concepts, so finding dedicated activists may require direct networking within the academic mathematical art community.


Appendix: Supplementary Video Resources

youtubeyoutube
The Cantor Set and Geometric Series
Feb 18, 2013
youtubeyoutube
Fractals: Koch Curve, Cantor Set, Non-Integer Dimension
Apr 26, 2021
youtubeyoutube
journey into fractals: the Cantor set and ternary expansion.
Jul 15, 2023
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