The beauty of irrationality is easily demonstrated in this recursive
construction of three geometric spirals. This particular construction
uses the irrational number as defined by (1 + Math.sqrt(5) ) / 2,
also called the Golden Mean. The approximation of this irrational
Each spiral is generated using recursive attachments of the same
geometric shape. In this example, polygons of sides 3, 4, and 5
have been used.
Click the NEXT button to view each spiral version. Right click,
ZOOM IN to reveal the infinite nature of these constructions.