…wish I had a pic but, it’s enough that I actually saw it for myself! I remember reading years ago that such a thing was essentially impossible. That opinion was about an entire load of laundry, but still… my frickin’ dryer folded a freakin’ wash cloth!
I recall a teacher in junior high explaining to the class that not everything is possible no longer how long of a time frame you give it. Monkeys banging on keyboards for time on end would not write the entire works of Shakespeare. You can never expect order out of chaos was his point and to think otherwise was child like thinking.
Now you have proven him wrong, surely the end of days is upon us. All hail the Tri-folded washcloth!
Trinary, she has fallen in love with you, and is wooing you the only way she knows how. Proceed carefully!
Dunno about that. People make a living bringing order out of chaos in others’ homes, and the universe started out pretty chaotic and while it isn’t what I’d call perfectly ordered, it does follow discoverable laws, which seems pretty ordered to me.
That phrasing seems acceptable, as you can never expect it, but his claim that it is not possible seems silly. Sure, it will take a very long time or a lot of monkeys and keyboards, but the odds can easily be calculated and they are greater than zero, even if barely.
Assuming case insensitivity, and only alpha characters, spaces, periods, exclamation points, and semicolons (and my math), for example, you would on average accidentally end up with “JESUS WEPT.” every 1 out of 17,714,700,000,000,000 attempts, so tomorrow if you have a lot of monkeys. 
Much as I’d like to think my dryer loves me enough to fold my clothes, I believe the answer is less thrilling.
I have MANY washcloths… more that a normal person probably should. Recently I used them all before doing laundry - which nearly never happens. I believe this one developed permanent creases after being folded on the bottom of the pile for so long.
Makes as much sense as the story in Beowulff’s link, anyway. 
If it folds a fitted sheet for you, throw caution to the wind and make that dryer your spouse! Nobody will blame you!