• Begin with one unit square
• Attach another one unit square to it
• Attach a two unit square where it fits to make a rectangle
• Attach a three unit square to where it fits to make a rectangle
• Continue attaching squares of 5,8,13,21,34,etc.

• Then draw a quarter circle arc connecting opposite corners of each square so that the arcs connect sequencially. (the sides of the squares are the radii of the arc)

    It is called an equiangular spiral because all radii from its center intersect the spiral itself at exactly the same angle.

    Many equiangular spirals can be found in the animal kingdom.  For example, the horns of wild sheep, spiderwebs, parrot beaks, cat and canary claws, and elephant tusks are all equiangular spirals.