Via Notom
Travel east out of Capitol Reef National Park on Highway 24. Just past the park, 0.25 miles, is the well signed Notom road. Head south on the Notom road 32.6 miles to the Cedar Mesa Campground on the right (west) side of the road. Along the way, at 13.6 miles, is the Sandy Creek Junction. Stay right on the Notom road here. At 32.6 is a junction and well signed Burr Trail.

Go right on the Burr Trail. It quickly climbs switchbacks behind the reef. Follow it for 3.1 miles to the signed Upper Muley Twist road on the right.

Via Boulder
If coming from Boulder, UT, turn onto the Burr Trail on the south side of town. Follow the Burr Trail road 32.8 miles to a junction with a lesser used side road to the Upper Muley Twist trailhead. If you reach the Lower Muley Twist trailhead or the road drops steeply down switchbacks, you have gone too far.

From the Burr Trail Road
From the Burr Trail Road, follow the 2-track dirt road north. Immediately to the east on the skyline is Peek-a-boo rock, which has an arch near the top that is visible from certain angles. After 0.4 miles a small parking area and trail register are reached. If you are in a 2wd and have gotten this far, this is likely the best place to stop. From here the road descends steeply into the wash and begins following the wash upstream.

After 2.4 miles of wash walking, Double Arch is visible on the left.

Continue to the end of the road at 2.9 miles. There is a small parking area here, and the Strike Valley Overlook trail leaves the parking area heading due east.

From the trailhead, follow the wash north. It is well travelled as easy to follow. It branches 10 or so minutes from the trailhead. Be sure to go right here, as the wash heads into a slickrock canyon. Not far past this junction the first arch is encountered on the left. It is impressive, but seemingly unnamed. Continuing up the canyon it is not far to the named Saddle Arch on the left. Saddle Arch is an important landmark, as the loop trail rejoins the approach trail here on the exit.

The colors and canyon keep getting better and better. Stay in the bottom of the wash and continue hiking up Upper Muley Twist. Three more arches present themselves though I saw at least one more arch high on the slopes as well. A side canyon comes in on the left with an arch at its mouth at ground level. This side canyon is an important landmark. A few minutes up the main drainage, the slot bypass leaves on the right and is decently cairned. If you miss it, you will end up in a deep dark slot. Reverse to where the slot opens to find the bypass on the east (right looking up canyon) side.

The bypass is well cairned and climbs a fair bit before traversing up along the rim of Upper Muley. There are several very exposed sections here, be careful! The bypass eventually re-enters the canyon bottom as Upper Muley Twist Canyon opens. Continue up a few minutes, and the Rim Route is reached. The Rim Route is signed, and relatively hard to miss. The trail leaves Upper Muley Twist Canyon here and heads east, working its way east to the rim and outstanding views of Strike Valley, and the Henry Mountains.

The Rim Route is very well cairned, but be sure not to get caught up in the scenery and forget to look for cairns! The route meanders along the rim before descending and re-entering Upper Muley Twist right at Saddle Arch. Turn left here and retrace your route back down to the trailhead.