This tower lies to the west and slightly south of Hillbilly Pillar about 150 yards. The routes (except for route A which is on the east face) are on the North face on some very suspect rock, but does have one excellent route on very good rock.
From Pauls Paradise, scramble up either to the right of Hillbilly Pillar and through a small canyon heading north-ish or walk around left of those formations and then cut north 150 yards past Hillbilly Pillar. Very short approach, like 5 minutes.
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Mountain Project's determination of some of the classic, most popular, highest rated routes for Unknown Pillar:
Route B 5.7 Sport, 1 pitch, 45 feet
Featured Route For Unknown Pillar