Fractals Courses and Certifications

Fractals and Scaling

56 reviews

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
• On-Demand
• Free Online Course

• Best of All Time

Introduction to Complexity

145 reviews

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
• On-Demand
• Free Online Course

• Best of All Time

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
• On-Demand
• Free Online Course

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
• On-Demand
• Free Video

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
• On-Demand
• Free Video

Tom Rocks Maths

Koch Snowflake Fractal - Area and Perimeter Calculation

Explore the fascinating Koch Snowflake fractal, calculating its infinite perimeter and constant area. Suitable for ages 14+, with step-by-step construction instructions and in-depth mathematical analysis.

• YouTube
• 29 minutes
• On-Demand
• Free Video

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

ICTP Mathematics

Fractal Dimensions in Nature and Mathematics - 2019

Explore fractal dimensions in nature and math, from intuitive integer dimensions to non-integer fractals. Learn alternative definitions, simple examples, and applications in dynamical systems.

• YouTube
• 1 hour 5 minutes
• On-Demand
• 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
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Escher and Droste in Luminy

Explore the mathematical intricacies behind Escher's art and the Droste effect, delving into their connections and applications in visual perception and geometry.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Escher and Droste in Luminy

Explore the mathematical intricacies behind Escher's art and the Droste effect, delving into their connections and applications in visual perception and geometry.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video