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.