Fractals Courses and Certifications

Numberphile

A 1.58-Dimensional Object

Explore fractals, Sierpiński triangles, and imaginary cubes with Ben Sparks in this mathematical journey into objects with non-integer dimensions, including a fascinating 1.58-dimensional structure.

• YouTube
• 20 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

TED

Fractals and the Art of Roughness

Explore the complexity of roughness and discover order in seemingly chaotic patterns through fractal mathematics with legendary mathematician Benoit Mandelbrot in this thought-provoking TED talk.

• YouTube
• 21 minutes
• On-Demand
• Conference Talk

TED

The Fractals at the Heart of African Designs

Explore the fascinating world of fractal patterns in African designs and their practical applications in mathematics, architecture, and technology.

• YouTube
• 17 minutes
• On-Demand
• Conference Talk

BIMSA

Analysis on Metric Spaces and Walk Dimension

Explore Analysis on Ahlfors-regular metric spaces, focusing on Hausdorff and walk dimensions. Gain insights into integral and differential calculus on fractals and regular metric spaces.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Wolfram

Mathematical Games - Space-Filling Curves - Episode 16

Explore mathematical games and puzzles involving space-filling curves with Ed Pegg Jr. in this engaging 55-minute episode.

• YouTube
• 55 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

Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)

Just When You Thought You Knew Everything About Fractal Aggregates

Explore the surprising complexities and latest discoveries in fractal aggregates that challenge conventional understanding of these intricate mathematical structures.

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

Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)

Just When You Thought You Knew Everything About Fractal Aggregates

Explore the surprising complexities and latest discoveries in fractal aggregate structures that challenge conventional understanding.

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

TED-Ed

Fractals and the Art of Roughness

Explore the fascinating world of fractals and roughness with mathematician Benoit Mandelbrot, uncovering order in seemingly chaotic patterns and their applications across various fields.

• YouTube
• 17 minutes
• On-Demand
• Conference Talk

Myriam's Nature

Using Acrylic Skins - Dirty Pours and Fractals Neatly Added to Ornaments - Tips & Techniques

Learn to create unique ornaments using acrylic skins, fractals, and dirty pour techniques. Discover step-by-step instructions, tips, and ideas for customizing beautiful decorations.

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

Envato Tuts+

How to Simulate Fractals in Photoshop

Create stylized fractal designs using Photoshop techniques, exploring repeating shapes and swirling patterns to produce visually stunning images without complex mathematics.

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

EuroPython Conference

Recursion, Fractals, and the Python Turtle Module

Explore recursion through fractals using Python's Turtle module. Learn to create psychedelic designs, understand natural patterns, and discover a fun tool for teaching coding concepts.

• YouTube
• 19 minutes
• On-Demand
• Conference Talk

Institute for Advanced Study

From Bourgain's Projection Theorem to Kakeya and Khintchine on Fractals: An Impressionistic Picture

Explore Bourgain's Projection Theorem and its extensions in geometric measure theory, homogeneous dynamics, and number theory with Pablo Shmerkin's overview of recent groundbreaking developments in these fields.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video