You can see two navigation bars (hopefully), one on the top of the page and one off on the left side. For the top bar, you can click on any of the boxes, including the title boxes, to take you to various parts of our site. For the side, you click on the main subject and it takes you to the main page where you can get to the sub-topics. What is the golden ratio? Good question. Go to the introduction and read through it. It gives you a brief overview of what the golden ratio is. Then go on to the sub-topics. The sub-topics are various mathematical subjects associated with the golden ratio, and a glossary. Find out how to get the golden ratio from the Fibonacci sequence or you can find out what the golden mean is. Or if you're ready to delve into the nitty-gritty of the math, look at some equations associated with the golden ratio.

     Once you're familiar with what the golden ratio is, you can see how it is applied to other things. First off is the geometric aspect, or the shape constructions. You can see the constructions of a star, rectangle, line segment, or a spiral. It shows you how the golden ratio is hidden in the many different ratios of the shapes.

     That covers the math part. You can then go onto the biology aspect of the golden ratio. Even though it is covered briefly in the explanation of the Fibonacci sequence, you can learn even more about populations, particularly that of bees, and how the golden ratio affects that. Additionally, you can see the arithmetic principles of the golden ratio in botany, as well as the geometric princples.

     That takes care of science and math. Next would be the part most people cannot associate with a math princple: aesthetics. Yes, math can be beautiful! The main aesthetics section explains a little bit about how the Egyptians used the golden ratio to make their art and architecture beautiful. The rest of that section contains information about Pythagoras, the Greeks, and the Romans, and how they used the golden ratio.

We also have fun and games! Check out our Fibonacci Sequence Game or our Tziansitzi Game when you feel comfortable with the concepts behind the Golden Ratio.

     Well, that's the website. Have fun exploring, and if any other questions come up, check out the help section or contact us!