A bicycle rear wheel suspension system in which plural interconnections are provided of rear wheel-supporting components, at which interconnections there occurs pivotal traverses contributing to urging the axle of the rear wheel along a path providing positions of movement therealong to achieve a desired extent of pressure feedback to the pedals, an easing of suspension reaction to bumps, and multiple chainstay lengths, all parameters to better suit the bicycle to its end uses and the terrain on which it is used.