I've been experimenting lately with making continuous spirals. The first project was a mini-hat.
(Top view)
If you count the strands knotted on the top you'll find 5 purple and 3 white. Note that the purple spiral is 5 rows high and the white spiral is 3 rows high. This is not a coincidence.
(Side view, inside-out)I'm showing it to you inside-out so you can see that the yarn does not carry across any rows or columns of stitches; the stripes spiral continuously, all the way to the top, like a barber pole. (I'm not sure if this would qualify as a helix -- I think so but can't say with any degree of authority.)
You might be wondering, if you're knitting a spiral form, how do you start and end? If you look at the candy-cane sock below, which I knit cuff-down, you can see that the cast-on row cuts across the red stripes.
The image below should give you some idea of the work involved...
Allow me also to point you to the work of Sarah-Marie Belcastro, topological graph theorist and uber-expert knitter. She knits her spiral pieces differently than I do -- just another interpretation of the form. She has a new book pending publication which will demonstrate her method. If you're a Raveler, check out her Spiral Bedsocks!