*Two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger one equals the ratio of the larger one to the smaller. The golden ratio is an irrational mathematical constant, approximately 1.6180339887*

*In mathematics, the Fibonacci numbers are the following sequence of numbers: 0, 1, 1,2,3,5,8,13,21 etc. By definition, the first two Fibonacci numbers are 0 and 1, and each remaining number is the sum of the previous two.*

If you want more detail then look it up! So I knew that both these prinicples have been applied to art and even occasionally to music, with varying success- so why not hats?! Basically all I did was to either use the fibonacci sequence itself or create a sequence of numbers using the constant of 1.618 and then use these numbers on the hats. So, for example in this green hat the realtionship between the height of the crown, the diameter of the crown at the top and bottom, the width of the brim and the diameter of the brim are all related by the golden ratio and I think it looks pretty good! The black leather topper was created in the same way. Certainly better than the first ones I made with no relationship between the different hats parts.

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