5x5 Dodecahelix

In this pattern, a string visits each face twice as it winds its way around the cube. The two green/yellow faces are turned a quarter turn from each other.
Since it's not entirely clear from the photo above, I've included a schematic diagram at right.

This is another of those patterns that's most interesting in person because you can follow the string around the cube. Or you can try, anyway. It's easy to lose count before following it around all twelve faces in the pattern!