Joe Bartholomew
 

About the Spirals
The Spirals are programmatically developed images. They include two sequences from the Rectangles project, spirals from arbitrary rectangles, and spirals within a square, inspired by Josef Albers' 'Homage to the Square'.

The Rectangles project is an article describing rectangles that share properties with the golden rectangle. Each of two sequences of rectangles has a method of construction based on multiples or fractions of a unit square and three properties: a formula for the ratio of long to short side that is a generalized version of the golden ratio formula; a method for removing squares or fractions of a square to construct new rectangles with the same proportions and to generate these spiral-like curves; and, a ratio of long side to short side that is the limit of the ratios of successive terms in a numerical sequence based on a generalization of the Fibonacci number sequence. Each spiral-like image represents a single formula in one of the two sequences.

 
Spirals
   
 
  Copyright 2007 Joe Bartholomew