Mathematical musings

Some interesting (to me!) mathematical puzzles and problems I’ve come across.

• Euler's constant (2014)

  I found a sequence that converges to Euler’s constant faster than Bernoulli’s formula.
• Shared gas (2002)

  My wife and I live in a twenty eight unit condominium which shares the cost of natural gas. At what price level can we expect the residents to switch from heating with gas to heating with electricity?
• The Pythagorean theorem (1997)

  I’ve been puzzling over a proof for this for years, and it finally dawned on me. (Eureka!) It’s all in how you draw it…