I wonder if anyone has tried an evolutionary locomotion algorithm that has bi-pedal and tri-pedal animals compete. See if it can even come up with a reasonable try-pedal model.
I saw an early (think mid-90's) attempt at this when I was in college. The only tripod that was successful was something along the lines of what kangaroos do, hopping with two while using a robust tail as a spring.
Most quadroped mammals can run by moving their legs in pairs, in this mode one of the pairs could be replaced by a single leg. Would make normal walking awkward though.
And indeed some almost exclusively move like that, namely leporids (rabbits and hares). They do not have a regular walking gait because the back legs are so long and specialized for jumping.