This project explores a novel approach to approximating Euler's Number (e) through fundamental concepts in Geometry and Probability, making it accessible to high school students. Unlike traditional ...

Unit Square: If you randomly pick two points in a square with sides of length 1, what is the expected distance between them? Unit Circle: What about if the points are in a circle with radius 1? These ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...