The east side of Mount Muir, which is in the John Muir Wilderness, is a near-vertical cliff about high. The route on this side (the north side of the east buttress) was first climbed on July 11, 1935 by Nelson P. Nies and John D. Mendenhall. It is a roped climb, (class 4). The south side of the east buttress, also class 4, was first climbed on September 1, 1935, by Arthur B. Johnson and William Rice.