Monthly Archives: June 2011

A slight discrepancy

The image above shows the mesh top of a patio table, photographed after a soaking rain. Some of the openings in the mesh retain drops of water. What can we say about the distribution of those drops? Are they sprinkled … Continue reading

Posted in computing, featured, mathematics, physics | 36 Comments

Don’t try to read this proof!

On the subject of the Collatz conjecture (also known as the 3x+1 problem), Paul Erdos remarked: “Mathematics is not yet ready for such problems.” Shizuo Kakutani joked that the problem was a Cold War invention of the Russians meant to … Continue reading

Posted in mathematics, problems and puzzles | 4 Comments