Bordered on the south by its eponymous deep-red cliffs, the national monument is home to broad plateaus, endangered California condors, and some of the oldest petroglyphs in the United States. But the area’s greatest hit is the Wave, a dramatic, undulant orange rock formation. There are trailheads, maps, and minimally marked checkpoints along the trail leading to the famous spot, but unless you opt to hire an authorized guide, you’ll have to pick your way carefully across relatively untouched desert—that is, if you manage to snag one of the 20 daily hiking permits. Apply online four months in advance or enter the daily lottery at the visitor center in Kenab, Utah. Didn’t make it? Grab a map, make sure you have a spare tire, and explore the monument’s lesser-known slot canyons and gulches, or head to the Grand Canyon or Zion National Park; both are within a two-to-three-hour drive. You can always try again the next day. Permits are $6 and $7.