Grab a pen and draw a figure. Follow a few rules: keep your lines straight, don’t pick up your pen, don’t cross the lines, and finish at the spot where you started. You’ll have a polygon. Polygons are ...

This is a preview. Log in through your library . Abstract We derive a formula for an n-th order divided difference of the inverse of a function. The formula has a simple and surprising structure: it ...

Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial intelligence are starting to transform the subject’s future. In May, a ...

An AI from Google DeepMind can solve some International Mathematical Olympiad (IMO) questions on geometry almost as well as the best human contestants. How does ChatGPT work and do AI-powered chatbots ...

When 21-year old Mahdi Bahrami took the stage at this year's Experimental Gameplay Workshop, the audience was entranced by his game Engare. Projected onto a large screen to a crowd of hundreds of ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

Historical problems related to cycloids form the background for an investigation of paths traced by rolling regular polygons. Using trigonometry, geometry, and calculus, the lengths of and areas under ...