The taxi number 1729 has a fascinating mathematical property

The Indian mathematician Srinivasa Ramanujan possessed an extraordinary memory of numbers and their properties. He instantly identified taxi number 1729 as the smallest integer decomposable into the sum of two cubes in two different ways. This decomposition corresponds to the addition of 9 cubed and 10 cubed on one hand, and 1 cubed and 12 cubed on the other.