Jewel of Muscat

The headwear is called a Shemagh worn by such royalty as HM Sultan Qaboos.

There are many ways you can wear your Shemagh depending on where you are from in the world and most recently it has been worn around the neck as a fashion accessory.
Here are instructions of how to fold your Shemagh,

Step 1. Fold the shemagh into a triangle. Wrap it around the back and over the top of your head, with the folded edge across your forehead, making sure that about two-thirds of the material is on your left. The right end ought to be long enough to come to your chest.
Step 2. Use your left hand to pinch the shemagh about 3 or 4 inches from the folded edge and let the edge hang forward.
Step 3. Let go of the right end. Using your left hand, hold the edge of the shemagh next to your left cheek and hold it near your left cheekbone. After you do this, use your right hand to pull the left end of the shemagh across your face, over your nose.
Step 4. Continue to wrap the shemagh around your face and head until you get it back over your left shoulder. Grip the right tail and hold it to keep from pulling the shemagh off your head as you wrap. Work your hands down toward the ends as you wrap.
Step 5. Pull the shemagh as tight as needed to feel comfortable. At the end of the process, take both ends and, somewhere near your right temple, tie them in a knot. A square knot will secure the shemagh adequately

Omanis, both civilian and soldiers will often iron in three concertina 'folds' to give it a smarter appearance at the front.