Summer of Math Exposition
Discover and create new math content.
The Summer of Math Exposition (SoME) is an annual competition to foster the creation of excellent math content online. You can find the SoME3 winners below. The full list of non video entries is available here. The playlist of all video entries is available here
The 5 winners are
The Mathematics of String Art
String Art recreates an image using string. An algorithm is used to calculate the order in which the string needs to be wrapped around the nails. This video is about the mathematics behind this algorithm.
Minimal Surfaces & the Calculus of Variations
Bubbles naturally try to minimize surface area, and so for a given boundary, what is that surface that is formed? In this video we will derive the Euler-Lagrange equation from the Calculus of Variations and apply it to derive the formula for a catenoid that is formed my making a bubble between two parallel rings.
Pixel Art Anti Aliasing
A full walkthrough of the motivation, background, derivations, and implementation of an efficient anti-aliasing filter for rendering pixel art.
Rethinking the real line
We take a geometric approach to rational numbers, to rethink how to organize the real line. Along the way, we visualize Diophantine approximation and continued fractions. And your favourite number, pi.
How Computers Use Numbers
An exploration of how modern computers interpret bits as numbers, building some common number formats from the ground up
The 20 honorable mentions
Escaping a Nuclear Explosion: how the Enola Gay survived
A Subtle Aspect of Circular Motion
Watching Neural Networks Learn
Mathematical Magic Mirrorball
How did the Ancient Egyptians find this volume without Algebra?
Making a Pitch Shifter
The Mosaic Problem - How and Why to do Math for Fun
When CAN'T Math Be Generalized?
Chasing Fixed Points: Greedy Gremlin's Trade-Off
What Happens If We Add Fractions Incorrectly?
Rotation + Translation = Rotation. Animated proof
The Longest Increasing Subsequence
How Infinity Works
Affording a Planet With Geometry
The Art of Linear Programming
Can you guess this shape from its shadows?
The Matrix Arcade: A Visual Explorable of Matrix Transformations
Functions are Vectors
Cayley Graphs and Pretty Things
