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Fibonacci was a mathematician (back in the middle ages, I believe) for whom a sequence of numbers is named. The sequence is interesting because apparently, if you look closely at everything in nature that is segmented - pine cones, pineapples, flower petals, sections in a snail shell, etc. -the number of sections or segments will be one of these Fibonacci numbers. We can use this finding to help figure out/design stripe sequences in knitting and weaving.

If we tried to be random on our own, without Fibonacci numbersi, we actually would end up falling into a pattern that might not come out pleasing. So using these numbers makes it much easier for us and also results in universally appealing aesthetics!

So the numbers are (Fibonacci sequence is...)

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89....(the pattern for figuring the rest of the numbers is that you would sum 55 and 89 to get 144, and then summ 89 and 144 to get 233, etc...)

When using the numbers for design purposes, they don't have to be used in order, not all the numbers have to be used and the numbers can be repeated.

So, for example, if I wanted to set up a striped sequence for knitting or weaving and wanted to be sure it was visually appealing, I could use the numbers to figure out how many rows to knit per color (or ends to thread, or pics to weave, if you're weaving).

So say I have 5 yarns, we'll call them A, B, C, D, and E. I could figure my stripes like this: I could thread/knit 3 ends/rows of B, then 8 of C, then 1 of A, then 2 of C, then 34 of E, then 5 of D and 8 of C and 2 of get the idea. As long as you stick to these numbers to figure the width of (number of rows knit, ends threaded, etc) the stripe you can easily knit or weave a striped pattern that will be pleasing.

If you want a generally bolder fabric, then create thicker stripes by using just the higher numbers in the sequence (for example if you have just 2 colors, and don't want to alternate knitting the same number of rows of each, you could knit 8 rows of the first color, 21 rows of the second color, 13 rows of the first, 8 of the second, etc). And if you want thinner stripes or a more "blended" and subtler fabric, just use the lower numbers for your stripes.

Fibonacci numbers are a simple design tool that is easy and takes some of the guess work out of designing. And, according to hundreds of years of design and the nature of the universe.....your result will be pleasing to the eye!