Unicorn Peak is a peak, in Tuolumne Meadows, Yosemite National Park. Unicorn Peak is due east of Cathedral Peak, and the north summit is highest. Unicorn Peak is part of the Cathedral Range. All three of Unicorn Peak, Cockscomb Peak, and Cathedral Peak qualify as nunataks, really islands that stood above the ice, when the last ice age passed through Tuolumne. During the Tioga glaciation the peak projected above the glaciers, which carved and sharpened peaks's bases while plucking away at its sides.