{"id":13291,"date":"2012-08-21T22:19:18","date_gmt":"2012-08-22T02:19:18","guid":{"rendered":"http:\/\/sonderbooks.com\/blog\/?p=13291"},"modified":"2016-02-08T23:15:56","modified_gmt":"2016-02-09T03:15:56","slug":"my-prime-factorization-scarf","status":"publish","type":"post","link":"https:\/\/sonderbooks.com\/blog\/?p=13291","title":{"rendered":"My Prime Factorization Scarf"},"content":{"rendered":"

\"\"<\/a>I finished it! Last week, I finished sewing the ends in on my new Prime Factorization Scarf.<\/p>\n

The scarf is similar to my Prime Factorization Sweater<\/a>, using a new color for each prime factor. For the scarf, though, instead of making a grid of squares representing each number, I used two-row stripes for each factor. I separated each number with two rows of black, which represented the number 1 (since 1 times anything doesn’t change the value.)<\/p>\n

I like the way the scarf gives the flow of the numbers. You can look closely at the blue color for 2 and watch it repeat. Then notice how the pink color for 3 repeats a little more slowly. And 5 a little more slowly than that. The scarf goes all the way up to 50.<\/p>\n

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Here are some sections up close. First, this picture shows 1 through 21:<\/p>\n

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2 is blue.
\n3 is pink.
\n4 = 2 x 2, so it’s two stripes of blue.
\n5 is yellow.
\n6 = 2 x 3, so it’s a stripe of blue and a stripe of pink.
\n7 is purple.
\n8 = 2 x 2 x 2, so it’s three stripes of blue.
\n9 = 3 x 3, so it’s two stripes of pink.
\n10 = 2 x 5, so it’s a stripe of blue and a stripe of yellow.
\n11 gets a new color, green.
\n12 = 2 x 2 x 3, so it’s two stripes of blue and a stripe of pink.
\nAnd so on….<\/p>\n

Here is a picture showing 17 (light pink) through 35:<\/p>\n

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And finally, 33 to 50:<\/p>\n

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My earlier posts explained why I chose the pattern I did<\/a>. I wanted the scarf to be reversible, but it’s not quite as easy to read as plain garter stitch stripes.<\/p>\n

What’s next? A cuff-to-cuff cardigan! Only, I want to go higher than 50, so I decided to combine factors in one stripe — unless you have perfect powers of a number. Here’s a preview. I’m working on 33 now. (You can see that since 32 = 2^5, it’s 5 rows of blue.) It’s going to be flamboyantly bright, but I plan to wear my primes with pride!<\/p>\n

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