So you feel like making a nice Noro striped scarf.
Vertical or horizontal stripes?
How about both?

This pattern is incredibly easy—nothing more than knits, purls, and slipped stitches, with just one color used per row—but the end result will make even experienced knitters do a double-take: like magic, vertical stripes appear on one side
of the fabric, and horizontal stripes on the other. The effects are accentuated by the use of two contrasting self-striping yarns. The fabric is reversible, of course, and lies flat.

The pattern includes instructions for a scarf, cowl, and hat: the scarf and cowl are suitable for beginners, but the hat
decreases are worked over a large number of stitches and require more concentration and pattern-reading skills, and may be more suitable for an intermediate-level knitter.

This is the Ravelry entry for the scarf, but instructions for all three accessories come as part of the pattern.