Hunters, you always braid on the right side. It's a tradition continued from fox-hunting...right side, that's just how it is lol. Dressage, it can be either side although the right is still more common. Banding, again, right is more common, but it's seen on the left also. Mares you place an odd number of braids. Used to be you had a set number, but now, you place more or less braids to best show off your horses neck. ie: heavy short neck, lots of longer fine braids to give the illusion that it's longer and more delicate. Gelding and stallions should have an even number of braids.