The Golden Rectangle is a rectangle whose side lengths are in 'the golden ratio', which is approximately 1:1.618. This relates to a whole bunch of other mathematical stuff but before you start snoring we'll move quickly on to the reason that it might be of any interest to us: it looks nice.
If you do a quick search around the Internet you'll see that it crops up all over the place. Leonardo Da Vinci investigated it's occurrence in the dimensions of the human body and made use of it in his work. You'll also find it being used in architectural designs ranging from the Greek Parthenon to the United Nations Headquarters in New York.
In addition to it's conscious use, the golden rectangle also tends to appear without the designer/artist being conscious of it. This is because we humans appear to have a fondness for it. Whether there is something inherently comfortable about it or whether we just find it so because we are so used to seeing it is debatable. However the fact is that if you look around you at man made objects, you'll find it everywhere. This it's a useful 'device' to employ in your own designs when you want them to be aesthetically pleasing to humans.
A distinctive feature of the golden rectangle is that when a square section is removed, the remainder is another golden rectangle, i.e. a rectangle with the same proportions as the first.
[h3]To draw a Golden Rectangle:[/h3]
Construct a simple square.
Draw a line from the midpoint of one side of the square to an opposite corner.
Use that line as the radius to draw an arc that defines the height of the rectangle.
Complete the golden rectangle.
Copyright & Credits
TerraGenesis was created in 1997 by Gary James and is currently owned, edited and maintained by Andy Slater, however the ideas and opinions expressed are those of the individual contributors. TerraGenesis and its content are © Andy Slater, unless otherwise stated, and should not be reproduced without permission.
The information published is correct to the best of our knowledge however we can accept no liability for errors. (Please let us know if you spot something.) Neither can we accept liability, but you can credit us if you like, for the results of any actions based upon the information. Modelers should use their own research, judgment and common sense when assessing the potential benefits and/or hazards of using any of the materials or technique described on these pages.
Trademarks of companies mentioned in these pages, have been used without permission. No challenge is intended to the status of these trademarks.