Golden Ratio and Rectangle Calculator
Thursday, January 22, 2009
If you are like me, you like the golden ratio. In fact, if you are like the majority of people, you like the golden ratio. Presumably, it is the most pleasing rectangles there is.
When I was a kid, I wanted to know how to find golden pairs, i.e., the 2 lengths that make a golden rectangle. The math was over my head then; however, thousands of dollars later, a few years in University, and a few sleepless nights I can now handle it. The whole thing is based on the fact that the golden ratio is defined as follows:
1/x = x/(1+x)When you solve for x, you get (1+√5)/2, which is about 1.62.
Therefore, if you want a goldenized pair, multiply or divide the value you have by 1.62, depending of which side of a rectangle you want. For example, if you have 100 as the width, then the height is 100/1.62 = 62. If you want 100 as the height, then width is 100 x 1.62 = 162.
The simple rule is:
if you have the width and want the height, divide by 1.62; if you have the height and want the width multiply by 1.62.Yes, I was a bit bored. Too much reading and writing and not enough coding today...
Comments:
I am thankful for your boredom. I really appreciated quick and helpful page. It's been a long while since algebra and your simple rule is great.
Mitchell