Unicorn Peak is due east of Cathedral Peak, and the north summit is highest.

[2] Unicorn Peak is part of the Cathedral Range.

[3] All three of Unicorn Peak, Cockscomb Peak, and Cathedral Peak qualify as nunataks, islands that stood above the ice, when the last ice age created glaciers in the area.

[4] During the Tioga glaciation the peak projected above the glaciers, which carved and sharpened the peak's bases while plucking away at its sides.

[5][6] All of the following are at least close to Unicorn Peak:[7] Many hike, at least the base of Unicorn Peak, and to nearby sites.