I really start to like the btrace addon :-) For this animation I moved a no-physics particle system on an icosphere along a spiral. Then I traced the particles to curves. This time I used auto instead of vector as the curves handle types which smooths the curve a lot.
you can download the blend file here
Day 3 of 30DaysOfCreativity 2013 - Particle Curves 2
crawl on a sphere