The stronger leg may take longer strides. This manifests in surprising emergent phenomena. Grocery stores for instance tend to be laid out so you enter on the right by the veggies and circle around the back to the meats and dairies and come around the left to check out.
This isn't just limited to humans. Bees will spiral CCW when climbing. Wounded deer tend to drift left after being shot.
Simone Kosig's conclusion is even more surprising: "The basic driver behind this phenomenon seems to be the fact that all cells in nature are composed of amino acids which have a left spin. Chemists can manufacture amino acids with a right spin, yet we can't use them. Apparently both types of amino acids existed in the primordial soup at the beginning of life hundreds of million years ago. Yet life developed only from those with a left spin. The favorite theory is that at that time - when the earth did not yet have the protective ozone shield - radioactive rays from the cosmos did more harm to the amino acids with a right spin. Yet why those with a left spin would be more protected - if at all - is still a mystery."[1]
[1] http://www.somatics.de/artikel/for-professionals/2-article/2...