Brainfilling Curves: A fractal bestiary by Jeffrey Ventrella.
Matt Parker on Numberphile on Stern-Brocot numbers, fractions, and rational numbers (an exposition of my favorite elementary paper, Recounting the rationals by Neil Calkin and Herbert Wilf)
From DataLab (FiveThirtyEight): how common is it for a man to be shorter than his partner? (Mona Chalabi) and which city has the most predictable weather? (Nate Silver and Reuben Fischer-Baum.
I’m just finding this now, although it’s a few months old: there’s a moving sculpture at a biotech firm in Cambridge, Mass. that can look like just a bunch of balls suspended in space until you look at it from the right angle and at the right time.
How to wrap a gift using the least paper.
A puzzle on escaping from prison using coins and a chessboard from DataGenetics.
Brian Hayes (bit-player) onFour Fifths = A Fifth and the Euler-Fermat conjecture.
A video from Numberphile on Sloane’s gap and the paper it’s based on.
How game theory helped improve New York City’s high school application process. (It’s basically the Gale-Shapley algorithm.)
Mike Lawler has a single post assembling the lectures (by Terence Tao, Jacob Lurie, Richard Taylor, Simon Donaldson, and Maxim Kontsevich) from the Breakthrough Prize symposium in mathematics. Here are the abstracts.
God plays dice 