Spiral series based on the golden section
 
   

 

When in such a rectangle, a square of equal length to the width of the rectangle is drawn, the leftover rectangle is in the same proportions than the initial rectangle. This division can be repeated at will. Such construction defines a spiral as shown hereunder:


This spiral is named equiangle (René Descartes), geometric spiral, proportional spiral (Edmund Halley), or logarithmic spiral (Jacques Bernoulli).

 

  Spiral No 1
  Spiral No 2
  Serial spiral No 1
  Spiral No 3
  Spiral No 4
 
  Pentagyre polyptych
  Serial spiral No 2
  Levogyre spiral
  Cosmic blues