We can tie knots in three dimensions because one-dimensional ropes “catch on each other”. This is why a long rope wound around itself, if done right, won’t come apart. We trust knots with our lives ...
Why do some melodies feel instantly right, balanced, memorable and satisfying, even if you have never heard them before? New research from the University of Waterloo suggests that more than creativity ...
AI could soon spew out hundreds of mathematical proofs that look "right" but contain hidden flaws, or proofs so complex we ...
Probability underpins AI, cryptography and statistics. However, as the philosopher Bertrand Russell said, “Probability is the ...
Since ancient Greece, researchers have tried to isolate special rational points on curves. Now they have the first ever formula that applies uniformly to all curves ...
Einstein–Rosen bridges may reflect a two-directional structure of time that preserves information and hints at a pre–Big Bang universe.
One ball on a Plinko board is unpredictable. Drop a thousand and they form a near-perfect bell curve—one of math’s most powerful ideas for 150+ years.