Mathematicians have illuminated what sets of points can look like if the distances between them are all whole numbers. The change of plans came on a road trip. On a beautiful day last April, the ...

Mathematicians just made a big leap forward on one of the field’s all-time favorite problems. Curves—squiggly lines through space, such as a comet’s trajectory or a stock market trend—are some of math ...

A new proof illuminates the hidden patterns that emerge when addition becomes impossible. The simplest ideas in mathematics can also be the most perplexing. Take addition. It’s a straightforward ...