Art and Math behind the Spiral of Theodorus

The spiral of Theodorus is based on the Pythagorean Theorem. The Pythagorean Theorem is a that proves that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The spiral of theodorus starts with a right triangle. The right triangle is also isosceles meaning that two sides of the same length and then you have the hypotenuse. The outside  length is always 1.