Fractals & the Mandelbrot Set
The geometry of roughness, Mandelbrot's fractals, the infinite detail of the Mandelbrot and Julia sets, Koch snowflakes and the self-similar patterns of nature.
Part of Chaos Theory
34 moments in this segment.
- - The Koch snowflake. A curve of infinite length enclosing a finite area, an early fractal that defied ordinary geometry.
- - The Sierpiński triangle. A self-similar fractal made of ever-smaller copies of itself.
- - A Julia set. A member of the family of fractals closely tied to the Mandelbrot set, each point of which spawns its own intricate world.
- - The Mandelbrot set. The most famous fractal, infinitely detailed, self-similar, and generated by one tiny equation iterated over the complex plane.
- - Arthur Clarke - Fractals - The Colors Of Infinity 1 of 6. do5e
- - Benoit Mandelbrot Hunting the Hidden Dimension Nova 2008. Equations of the matrix
- - Fractals: The geometry of Nature? - Benoit Mandelbrot. An enquiry into the Nature of Fractal Geometry. Includes an interview with Benoît Mandelbrot, the father of Fractals, who died 17th October 2010.
- - Benoit Mandelbrot - (full) The Nature of Roughness in Mathematics, Science and Art.. fractal
- - Koch snowflake fractal | Perimeter, area, and volume | Geometry | Khan Academy. Khan Academy
- - What Is The Coastline Paradox?. How long is the coastline of Australia? One estimate is that it's about 12,500 km long. However the CIA world factbook puts the figure at more than double this, at over 25,700 km. How can there exist such different estimates for the same length of coastline? Well this is called the coastline paradox.
- - Measuring Coastline - Numberphile. Numberphile
- - Fractals The Hidden Dimension HD 1080p Nova. Universe TV
- - Filled Julia Set. Numberphile2
- - What Is A Fractal (and what are they good for)?. MITK12Videos
- - The Mandelbrot Set: How it Works, and Why it's Amazing!. Jimi Sol
- - Fractals are typically not self-similar. 3Blue1Brown
- - The Julia Sets: How it Works, and Why it's Amazing!. Jimi Sol
- - The Coastline Paradox & Fractals. This video explains what the Coastline Paradox and Fractlas are.
- - Fractals Documentary - The Colours Of Infinity (1995) -. Quixotic Psychotic
- - High Detail Slow Mandelbrot Zoom (2160p/4k). Lazy Ape
- - What's so special about the Mandelbrot Set? - Numberphile. Numberphile
- - Julia Sets, and how they relate to The Mandelbrot Set. The Mathemagicians' Guild
- - Koch Snowflake Fractal: Area and Perimeter Calculation. Tom Rocks Maths
- - Highlight - Mandelbrot Fractal Zoom. Maths Town
- - Beyond the Mandelbrot set, an intro to holomorphic dynamics. 3Blue1Brown
- - The Colours Of Infinity (2010 version). William Rood
- - Infinite Relaxation [Part 1] - A Mandelbrot Fractal Zoom (3e3284). A relaxing full colour 4-hour journey into the deep depths of the Mandelbrot. This is now the deepest zoom on this channel, going to a magnifiction of 3e3284. That is 3 with 3284 zeros after it! (Try zooming in that far on your phone).
- - Decoding Math’s Famed Fractal: The Mandelbrot Set. Quanta Magazine
- - Unlocking The Mystery Of The Coastline Paradox Through Fractals. Seven Liu
- - Fractals Animation | Koch Snowflake - Manim CE, Python. Ptolémé
- - The Beautiful Mathematics of Chaos: Mandelbrot Sets & Fractal Geometry. The Sleepy Computer Scientist
- - The man who changed the way mathematics is perceived forever (Full Documentary) | Benoit Mandelbrot. wocomoDOCS
- - Benoît Mandelbrot: He Saw The Structure Of The World - They Called Him Crazy. Fools!. Rabbi Solomon
- - The Mandelbrot Set Explained | Infinite Zoom Into the Most Famous Fractal in Math. Ratan Chavan