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These reference pages describe some of the fascinating properties of The Golden Ratio, and some related math problems.
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The Golden Ratio
The Golden Ratio (approximately 1.618) is a number with some very interesting properties that have mystified and fascinated mathematicians for centuries! On these pages I will show you just a few of the interesting
things that you can do with this number. We'll start with a brief introduction to the number, and then move on to the "fun stuff".
Just a little bit of historical information about The Golden Ratio, as we get started.
This interesting number shows up in nature, in some surprising ways.
A special angle that we don't often mention in Trigonometry classes, 36° has some interesting trig values!
The Golden Ratio can be written as a continued fraction; click here for the fraction and the proof.
The Golden Ratio can also be written as a continued radical; click here for the radical and proof.
The Golden Ratio is intimately connected with the Fibonacci Sequence.
What if a Fibonacci Sequence is also a geometric sequence? I bet you can guess the answer to that...
Just for fun, here, let's see what happens when we mix math and numerology!
"The Golden Ratio" is written by Douglas Twitchell, and hosted at The Problem Site.
Contents copyright 2008 by Douglas Twitchell. Contents of this page may not be reproduced without permission of the author.
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