Fractals Courses and Certifications

Fractals and Scaling

59 ratings

Explore fractals, scaling, and power laws in natural and social systems. Learn to calculate fractal dimensions, analyze power law distributions, and examine applications in metabolic and urban scaling.

• Complexity Explorer
• 7 weeks, 2-4 hours a week
• Self-Paced
• Free Certificate

• Best of All Time

3Blue1Brown

Fractals Are Typically Not Self-Similar

Explore fractal dimension, self-similarity, and scaling in this engaging explanation that challenges common misconceptions about fractals and their properties.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Fractals and Scaling

Explore fractals, scaling, and power laws in natural and social systems. Learn to calculate fractal dimensions, analyze power law distributions, and examine applications in metabolic and urban scaling.

• Complexity Explorer
• Self-Paced
• Free Certificate

Fractals and Multifractals

Explore the mathematical framework of fractals and multifractals, analyzing irregular structures through non-integer dimensions, using real analysis concepts for engineering and mathematical sciences students.

• Swayam
• Self-Paced
• Free Online Course

Myriam's Nature

Dendrite Fractals - Easy Technique, Great Results, Different Styles - Acrylics or India Ink

Learn to create stunning dendrite fractals using acrylic inks, India ink, and fluid acrylics. Master various sizes and styles with a step-by-step guide to achieve beautiful snowflake-like patterns in any color.

• YouTube
• 20 minutes
• Self-Paced
• Free Video

Introduction to Complexity

151 ratings

In this course you'll learn about the tools used by scientists to understand complex systems. The topics you'll learn about include dynamics, chaos, fractals, information theory, self-organization, agent-based modeling, and networks.

• Complexity Explorer
• 10 weeks, 3-6 hours a week
• Self-Paced
• Free Certificate

• Best of All Time

Hausdorff Center for Mathematics

Osama Khalil- Diophantine Approximation on Fractals and Homogeneous Flows

Explore Diophantine approximation on fractals and homogeneous flows, examining exceptional sets and their connections to recurrence behavior. Discover new results on Hausdorff dimension of divergent orbits and self-similar measure projections.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Fields Institute

Buchi Automata and Fractals on R

Explore Buchi automata and fractals on R, covering regular languages, model theory, and first-order logic. Gain insights into sparse sets and omega languages in this mathematical journey.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Michael Baake - A Cocycle Approach to the Fourier Transform of Rauzy Fractals

Explore Fourier transforms of Rauzy fractals and their role in analyzing spectra of Pisot inflation tilings, with applications to diffraction theory and dynamical systems.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

AGU

Scaling and Fractals After Mandelbrot - On the Frontiers of the Geosciences - Part 1

Explore scaling and fractals in geosciences, building on Mandelbrot's work. Discover cutting-edge applications and insights at the frontiers of Earth and space sciences.

• YouTube
• 2 hours 7 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Quasi-Crystals, Fractals, and Other Beauties by Cristiane Morais Smith

Explore quasi-crystals, fractals, and related mathematical structures in this lecture by Cristiane Morais Smith, delving into their fascinating properties and applications in physics and beyond.

• YouTube
• 1 hour 42 minutes
• Self-Paced
• Free Video

Banach Center

Dynamically Defined Random Fractals

Explore dynamically defined random fractals and their mathematical properties through expert insights from Karoly Simon of Budapest University of Technology and Economics.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Wolfram

Mathematical Games - Episode 35: Fractals

Explore fractals through mathematical games and puzzles with Ed Pegg Jr. in this engaging 55-minute Wolfram session featuring interactive notebooks and visual demonstrations.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Numberphile

Sandpiles

Explore the fascinating world of sandpiles and their fractal patterns with mathematician Luis David Garcia-Puente. Discover how simple rules create complex, beautiful structures in this engaging mathematical journey.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Fractional Gaussian and Stable Random Fields on Fractals

Explore fractional Gaussian and stable random fields on fractals, covering key concepts like covariance functions, stochastic integrals, and Laplace operators.

• YouTube
• 58 minutes
• Self-Paced
• Free Video