Ken Yamamoto and Yoshihiro Yamazaki have analyzed the statistical properties of crease patterns by me, Jason Ku, and Satoshi Kamiya in the Journal of the Physical Society of Japan (free download):
http://jpsj.ipap.jp/link?JPSJ/82/044803 Spoiler alert: our CPs are not statistically the same as crumpling. Whew! Glad we got that cleared up. (Of course, I know there are many folders out there who would disagree with that conclusion.) Enjoy, Robert