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Subjects
Mathematics
Geometry
Fractals

Free Online

Fractals Courses and Certifications

Explore the mathematical beauty of fractals through geometry, chaos theory, and complex systems to understand patterns in nature and art. Learn from leading mathematicians on YouTube and Complexity Explorer, covering topics from Mandelbrot sets to dendrite fractals using accessible visual demonstrations.

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Fractals and Scaling
59 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
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
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
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
Introduction to Complexity
149 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
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
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
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
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
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
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
- On-Demand
- 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
- 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
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
- 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

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