Log in

Logarithmic Spiral & Golden Rectangles - Webreviews- Philosophy, Science, Literature... [entries|archive|friends|userinfo]
Webreviews- Philosophy, Science, Literature...

[ website | Shandean Postscripts to Politics, Philosophy, & Culture ]
[ userinfo | livejournal userinfo ]
[ archive | journal archive ]

Logarithmic Spiral & Golden Rectangles [Apr. 14th, 2005|04:57 pm]
Webreviews- Philosophy, Science, Literature...


Logarithmic Spiral @ MathWorld

The Logarithmic Spiral - Spira Mirabilis

  The logarithmic spiral occurs in nature more than any other curve, be it in the form of the seeds on a Sunflower or the shape of the Nautilus shell.  I have included a picture of the Nautilus shell below.  The shape gives the shell enormous strength.

The figure on the left is a set of golden rectangles inscribed in a logarthmic spiral.  Golden rectangles are defined as rectangles that have the length to width ratios of (1+51/2)/2.  Golden rectangles are found throughout Art and architecture and were used widely in Ancient Greece.

mathematical curves

Logarithmic Spiral @ mathematical curves