Archimedean Hat by Sandy Montag

Archimedean Hat

Knitting
March 2009
Worsted (9 wpi) ?
20 stitches = 4 inches
in stockinette
US 8 - 5.0 mm
150 - 200 yards (137 - 183 m)
18",19",20",21"
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This pattern is available as a free Ravelry download

This is also known as a helix pattern. Each colored strip is one long spiral from the bottom of the hat to the top.
The instructions include info for using 2-5 colors but once you understand the concept you could really use and unlimited number of colors.