Three Point One Four Something

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?