Some countries are long and thin, others compact and nearly symmetrical. Some follow natural curves, while others have borders drawn with a ruler. But these shapes are not random — they reflect ...

We've wondered for centuries whether knowledge is latent and innate or learned and grasped through experience, and a new ...

Researchers from Cambridge and the Hebrew University tested ChatGPT with a 2,400-year-old “doubling the square” puzzle to ...

Proving that two polygons have the same area can be as easy as cutting them up and rearranging the pieces. Gina the geometry student stayed up too late last night doing her homework while watching The ...