The South Corner is a smaller rock formation to the north of Blair III. The routes range from 5.6 to 5.11 (9 that I am aware of). It is a little more off the beaten path and well worth a visit.
Starting from the Lower Blair parking area follow the trail along the northwest side of Blair III. Once past Blair III, you should be able to see the South Corner. At this point, head north and look for a gully on the southwest side of South Corner. Follow this gully up and you will be on the south end of South Corner.
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Mountain Project's determination of some of the classic, most popular, highest rated routes for South Corner:
Slab Route 5.6 Trad, 1 pitch, 60 feet
Slab Route, Right aka Jim's Dihedral 5.6 Trad, 1 pitch, 60 feet
Featured Route For South Corner
Slab Route, Right aka Jim's Dihedral 5.6 WY : Vedauwoo : ... : South Corner
This is a fairly pleasant romp up to a cool (exposed) summit. It starts out as a scramble then moves into the dihedral. If you go by Slab Route, Right it is a 5.6. If you call it Jim's Dihedral then it is a 5.7.Short route but enjoyable and worth the hike up the gully. ...[more] Browse More Classics in WY