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Why Trees Look Like Rivers and Also Blood Vessels and Also Lightning…
Why do the same, self-repeating patterns appear in trees, rivers, lightning, and even our bodies? Is there some essential, hidden rule of nature that makes these intricate designs appear all over the place? Let’s talk about fractals.
TED Talks
TED: How to imagine a better future for democracy | Adrienne Maree Brown and Baratunde Thurston
US democracy needs repair — and care is the answer, says author adrienne maree brown in conversation with writer and activist Baratunde Thurston. In a sweeping discussion on what it means to be an active citizen, they unpack how to...
3Blue1Brown
Newton's Fractal (which Newton knew nothing about)
Newton's method, and the fractals the ensue
3Blue1Brown
Fractals are typically not self-similar
What exactly are fractals? A common misconception is that they are shapes which look exactly like themselves when you zoom in. In fact, the definition has something to do with the idea of "fractal dimension".
3Blue1Brown
Fractals are typically not self-similar
What exactly are fractals? A common misconception is that they are shapes which look exactly like themselves when you zoom in. In fact, the definition has something to do with the idea of "fractal dimension".
SciShow
The “Devil’s Staircase” Shows Why Earthquakes Are Hard to Predict
Devastating earthquakes happen every year, and it's difficult to predict when they will happen. But they do follow one mathematical pattern known as the Devil's staircase.
TED Talks
Ron Eglash: The fractals at the heart of African designs
'I am a mathematician, and I would like to stand on your roof.' That is how Ron Eglash greeted many African families he met while researching the fractal patterns he'd noticed in villages across the continent.
3Blue1Brown
Where Newton meets Mandelbrot (Holomorphic dynamics)
How the right question about Newton's method results in a Mandelbrot set.
Curated Video
Fractals: The Koch Snowflake
The characteristics of Koch's mathematical fractal are produced by following a set of simple rules, which result in an infinitely reducing pattern. Maths - Shape A Twig Math Film. Reinforce and extend the learning required by the...
Curated Video
Fractals: The Menger Sponge
Revealing the shape which gets bigger the more you take away... in which an infinitely increasing surface area meets an infinitely decreasing volume.
Mat
hs - Shape
Reinforce and extend the...
Mat
hs - Shape
Reinforce and extend the...
Zach Star
The beauty of complex numbers
This video covers complex numbers, euler's formula, fractals, and more of the mechanics of complex numbers.<br/>
Massachusetts Institute of Technology
Mit: Blossoms: Fabulous Fractals and Difference Equations
Former MIT student introduces the classroom to fractal geometry via a video presentation appropriate for students who have had two years of high school algebra. Video lesson content includes the "chaos game" and trajectory calculations...
Other
Mitk12: What Is a Fractal (And What Are They Good For)?
Fractals are complex, never-ending patterns created by repeating mathematical equations. Yuliya, an undergrad in Math at MIT, delves into their mysterious properties and how they can be found in technology and nature. [4:12]
Khan Academy
Khan Academy: Triangles: Koch Snowflake Fractal
Explanation of the Koch Snowflake and why it has an infinite perimeter but a finite area.
Khan Academy
Khan Academy: What Is a Fractal (And What Are They Good For)?
Fractals are complex, never-ending patterns created by repeating mathematical equations. Yuliya, an undergrad in Math at MIT, delves into their mysterious properties and how they can be found in technology and nature.
Khan Academy
Khan Academy: Trippy Shapes
In school, you learn about shapes with sides and edges - but there are weird shapes out there (beyond our 3 dimensions) that defy our normal idea of geometry. QuanQuan and Jenny explain, knit, and 3D print their way through trippy shapes!