For the written pattern by Purpleiguana, check out the link below, and below that I have a second video showing how to alter this pattern into a more symmetrical crescent moon shape - ... ...
by DoodleDrawArt - How to Draw, Easy
by Handmade Channel
by Guidecentral English
by L'angolo di Criss
by WoolyWondersCrochet
by NotikaLand crochet and knitting
by Joanne Dobbin