Consider a mathematical knot: a string that’s been twisted and tied up, its ends then closed to form a loop. From the outside, it might look like a tangled mess. But an ant walking along it would ...

A high school teacher didn't expect a solution when she set a 2,000-year-old Pythagorean Theorem problem in front of her students. Then Calcea Johnson and Ne'Kiya Jackson stepped up to the challenge.

Connecting all the dots, we discover that a circle in taxicab geometry looks like a diamond. It has corners, and it’s not round. One of my students shouted in protest when she realized this.