This is one of the concepts I use when designing a new pattern. For an overview, please see Math for Craft Design.
Below is a bit of information about the numbers in the Lucas series and a few examples of how they're used.
The first few numbers are:
2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199...
How to Get These Numbers
- Start with 2 and 1, add them together to get the next number in the series - 3. You must begin with 2 and 1 to get Lucas numbers.
- Add the last two numbers - 1 and 3 - to get the next number in the series - 4.
- Do this again - adding the last two numbers together - 3 and 4 - to get 7.
- Then add 4 and 7 to get 11, 7 and 11 to get 18, etc.
- If your afghan turns out to be 47 inches wide, make it 76 inches long - the next number in the series. If you're working it lengthwise instead and it's 47 inches long, make it 29 inches wide - the previous number in the series.
- A stripe is 7 stitches wide. Make the next stripe 11 sts wide. For the third, go with 18 sts. Or simply alternate the 7 and 11, or all three widths. Use consecutive numbers in the series.
- If you need approximately 15 balls of yarn for a multi-coloured, randomly patterned article, purchase 7 balls of Colour A, 4 of Colour B, 3 of Colour C and 1 ball of Colour D. You can use consecutive numbers in the series to total the amount you need. Practially speaking, yarn crafters know we should always buy an extra ball of each colour so we don't run out.
- Knitters who love math may want to try their hand at my Moebius Scarf - a loop with a true half twist, and cozy too! With photo.
- Don't forget to check out my other uses of Math for Craft Design.
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