Pictures of Math

WATCH: A Kinetic Sculpture of 15 Moving LEDs Mimics a Walking Person [video]

Drawings of random geometry by Boris Hanin

a visual proof that ¼ + 1/16 + 1/64 + … = 1/3 [code] 

A dodecahedron tumbling inside a circumscribing circle. [code]

The primes are often thought of as behaving like a random sequence, but there are patterns in their digits. The first frame shows how many of the first 100 primes end in 1, 3, 7 and 9. They all occur roughly the same number of times, so the four squares are almost exactly the same shade of red. The next frame shows how frequently a prime ending in 1 is followed by a prime ending in 3 - and so on. A structured pattern emerges, with the final frame showing the distribution of final digits in strings of 8 consecutive primes (for the first 2 million primes).  [recent news] [visualization from] [code]

WATCH: Crank Out Infinite Geometric Designs With The Wooden Cycloid Drawing Machine (video)

These golden lines reveal the complexity of turbulent convective flow. They come from a numerical simulation of turbulent Rayleigh-Benard convection, a situation in which fluid trapped between two plates is heated from below and cooled from above. This situation would typically create convection cells similar to those seen in clouds or when cooking. Inside these cells, warm fluid rises to the top, cools, and sinks down along the sides. With large enough temperature differences, instabilities will occur and cause the flow to become turbulent so that the clear structure of convection cells breaks down into something more chaotic. Such is the case in this simulation. This visualization shows skin friction on the bottom (heated) plate in a flow of turbulently convecting liquid mercury. The bright lines are areas with large velocity changes at the wall, an indication of high shear stress and vigorous convective flow. (Image credit: J. Scheel et al.; via Gizmodo)

A 3D Printed Sundial Displays Time Like a Digital Clock

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A Chameleon Robot That Can Quickly Change Color to Blend In With Different Backgrounds

10,000 Dominoes Arranged as a Working Computer Circuit Capable of Performing Basic Addition

by David J. Wright

Interactive versions

What’s happeninggggg?? 

snappers

Pluto Through the Years: A GIF Showing Gradually Improved Views of Pluto from 1930-2015