Theodorus' Spiral

Author:normalisa

The Spiral of Theodorus is a spiral composed of contiguous right triangles, starting with a isosceles right triangle with leg length of 1. Another right triangle is built with one leg of the hypotenuse of the previous right triangle and the other leg of length of 1.The hypotenuse of the second right triangle is squareroot 3. The process goes on generating a sequence of right triangles. The i right triangle has legs i and 1 and hypotenuses squareroot i+1. It splits rational and irrational numbers in two categories. (Taken from wikipedia heaetetus)