International Chimeny is a classic route that shouldn't be missed. Start on the west side of Spire Three. Pitch 1 climbs up an easy chimney (class 4, easy class 5) between Obelisk and Spire Three. Continue this until at the base of the International Chimney. Pitch 2 climbs the obvious line. This isn't a chimney per se, in fact, no chimney moves are encountered. It is more of a detached flake from the main massive. Climb the large crystals to a belay at the top of the flake. From here, I believe that the original route must traverse further right, but most people go straight up the insipient crack/groove to the summit. This pitch is probably 5.8 and deserves an s (serious) because of the lack of pro and a nasty possible fall into the chimney. Climb with care to the easy, slabby finish.
Descend by doing a two-rope rappel to the ground.