Monthly Archives: April 2013

Mapping the Hilbert curve

In 1877 the German mathematician Georg Cantor made a shocking discovery. He found that a two-dimensional surface contains no more points than a one-dimensional line. Thus begins my latest column in American Scientist, now available in HTML or PDF. The … Continue reading

Posted in computing, mathematics | 16 Comments

Flying Nonmetric Airways

It’s the nature of triangles that no one side can be longer than the sum of the other two sides: For triangle ABC, AC ≤ AB + BC. This is the triangle inequality. Euclid proved it (Book I, Proposition 20). … Continue reading

Posted in mathematics, modern life | 14 Comments