Money that we see every day transformed into something unique and unexpected.

Moneygami is origami made from banknote; the subtle genius lies in the way the artist incorporates the prints on the money bills into the facial characteristics of the finished figures.
This is called money folding. Sometimes also called bill folding, or banknote folding, or other such derivative terms. I'm not really sold on the Moneygami name- there's a real trend lately to do such things, primarily because people figure out "oh, that must be money origami" or something to that effect.
Actually "moneygami" name is a little dumb because the "gami" (kami) part means "paper", and the "ori" (oru) part means "to fold". So we're talking "money paper" here as a meaning. "Orimoney" doesn't quite roll off the tongue the same way, though, so I guess it's unavoidable. Loan words from other languages and how they eventually get sqeezed into new boxes is an ever-interesting phenomenon).