18+ hour, 4+ min ago  (518+ words) Scientific American Scientists catalog the "fractal dimensions" of more than 130, 000 islands The "coastline paradox" helped to define fractals, but coastlines themselves turn out to be less fractal than thought By Alex Music edited by Sarah Lewin Frasier Coastlines' intricate perimeters…...

3+ mon, 1+ week ago  (378+ words) A new proof solves a long-standing problem about the doughnut-shaped torus By Rachel Crowell edited by Clara Moskowitz Your peculiar-looking shape will be trickier to construct than one with a smooth surface. The complexity of the problem only grows if…...

6+ mon, 2+ week ago  (316+ words) By Emma R. Hasson edited by Sarah Lewin Frasier Can you drill a hole in a cube that an identical cube could fall through? Prince Rupert of the Rhine first asked this question in the 17th century, and he soon found out…...

9+ mon, 3+ week ago  (880+ words) Breakthrough Proof Brings Mathematics Closer to a Grand Unified Theory after More Than 50 Years of Work The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to…...

11+ mon, 1+ week ago  (189+ words) An absent-minded bank teller switched the dollars and cents when he cashed a check for Mr. Brown, giving him dollars instead of cents and cents instead of dollars. After buying a five-cent newspaper, .. . Math Puzzle: Settle the Dollars and Cents…...

11+ mon, 1+ week ago  (433+ words) Scientific American is the essential guide to the most awe-inspiring advances in science and technology, explaining how they change our understanding of the world and shape our lives. Mathematicians Solve Multidimensional Fruit-Slicing Dilemma A 40-year-old conjecture on shapes" cross sections…...