Cynthia Lanius

pryamids
Thanks to PBS for permission to use the Pyramid photo.

Golden Ratio

1.61803398874989484820


If you need a definition

If you were going to design a rectangular TV screen or swimming pool, would one shape be more pleasing to the eye than others? Since the early Greeks, a ratio of length to width of approximately 1.618, has been considered the most visually appealing. This ratio, called the golden ratio, not only appears in art and architecture, but also in natural structures.

Estimate the ratio of the length to width in the rectangles below:

length
width     
Answers
   

Golden Ratio Table of Contents
  • Introduction
  • Find golden rectangles.
  • Build golden rectangles.
  • Confirm the ratio using algebra.

  • Back to the Geometry Online Index

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    Copyright 1998-2008 Cynthia Lanius


    URL http://math.rice.edu/~lanius/Geom/golden.html