March 14, 2015 was an auspicious date to have a ‘math circle’ meeting. We ate some great dessert, and worked on some really interesting questions like:

How exactly can you approximate $\pi$ using regular polygons using just the Pythagorean Theorem?

What does it mean to find a ‘best rational approximation’ of a number?

How do you calculate continued fractions?

What are some continued fractions of popular irrational numbers?

What might be some ways to prove an infinitude continued fraction equals a specific irrational number?