Awesome Math

(Flashing images) Sahana Vathsa’s wild animated short is about a boy dealing with familial pressure to perform well in school. We love the varied art styles and frenetic pace, which help us imagine what it’s like inside the disjointed and stressed mind of the young man as he struggles to live up to expectations.

This isn’t a computer-generated image you’re looking at; it’s a 3D-printed object. Martin Etzl generated this intricate model and placed it inside of a cube with one-way mirrors, resulting in the illusion of an infinite room out of a science-fiction universe. The fractal shapes were produced entirely using mathematical equations.

Do you like music and math? Then you’ll dig polyrhythms. JLChnToZ (Vistanz) created this captivating video that displays a representation of these complex and often hypnotic sounds in concentric circles. For maximum effect, put the video on full screen, dim the lights, and crank up the volume.

March 14 is Pi Day, so there’s no better time to learn as many digits of the mathematical constant as possible. AsapSCIENCE is here to help. While it’s definitely harder to memorize than The Alphabet Song, if you’re paying attention to the lyrics, you should at least get further than 3.1415926.

We assumed there were thousands of different ways that a game of tic-tac-toe could turn out. While the game board allows for more than 255,000 combinations of Xs and Os, there are far fewer gameplay outcomes. Musician and coder Marc Evanstein ran the numbers and argues there are only 14 different games to be played. (Thanks, Orion!)

Greg Blanpied makes CNC-machined and laser-cut functional art fabricated using parametric math and geometry. Among his amazing pieces is this elegant bowl, which acts as a zoetrope when filmed or spun beneath a strobe light. He’s also created a zoetrope vase.

Unlike US paper sizes, metric paper sizes like A3 and A4 can be folded into quarters to make smaller standard size sheets. CGP Grey explains the satisfying math of this paper sizing standard, then zooms in and out to see how it relates to the exponential nature of the universe.

Electronic instrument maker Elias Jarzombek created this unique synthesizer that looks like an abacus. The otherworldly sounds it makes are controlled by sliding and spinning its triangular “beads” on metal bars, along with turning its side dials. Read more about the Abacusynth on Elias’ website.

Alan Becker’s Animation vs. series usually has stick figures battling the animation process or other stick figures. But in this short, our stick figure hero encounters a new challenge – mathematics. Things start with simple addition and subtraction, but the calculations quickly become harder to solve, especially when Euler’s Identity shows up.

Using CGI, it’s possible to create fractal images that can be zoomed into infinitely. Inspired by the work of Feliks Konczakowski, mathematical artist Henry Segerman created an infinite zoom illusion using a real-world 3D-printed model. He pulled off the effect using a computer-controlled slider, a turntable, and precision editing.

A normal bike uses a set of gears to influence the amount of torque sent to its rear wheel. Tom Stanton wanted to see if it was possible to create a bike transmission that uses magnets to turn its wheel and create resistance. Put your thinking caps on for this brainy video that incorporates physics, math, and engineering.

Amsterdam-based visual effects designer Julius Horsthuis is known for his incredible moving fractal art. Fractalicious 9 is a compilation of his more recent work and offers up a variety of mesmerizing visuals based on mathematical equations.

Penrose tiles are a kind of arrangement in which polygons create patterns that never repeat. Minutephysics teamed up with Aatish Bhatia to explain the grid that underlies Penrose tiles and the math and geometry that prevents repetition. You can play with Penrose and similar patterns on Bhatia’s Pattern Collider.

Fractal art can be beautiful, hypnotic, and colorful. But with the proper arrangement of pixels, these mathematical patterns can also be dark and downright unsettling. Motion designer Chris Lavelle’s short fractal animation Creation 1 is especially disturbing, especially for those who suffer from trypophobia.

Mathematician and creator Yosuke Ikeda invented this glorious little plaything which uses a series of ramps to move marbles around as you push on it. Multiple AlgoLoops can be combined for more complex patterns. The project’s Kickstarter already has closed, but hopefully we’ll be able to buy these soon.

Frustrated by missing shots on a regular pool table, The Q went ahead and built himself a special kind of pool table where the ball goes in the pocket virtually every time. The trick is its elliptical shape, which sets up the perfect bank shot at every angle. This video from Numberphile explains the geometry at work.