This sketch looks at a tessellation as a way to propogate a pattern on a tile rather than as an edge alteration.
Info on the student page:
I was inspired by this #mathart: http://mathhombre.tumblr.com/post/48437097612/love-these-planar-patterns-inspirational
It's by Daniele De Nigris, who has a lot of geometric art: http://www.flickr.com/photos/denigrisdaniele/sets/
Technical info on the wallpaper groups: http://en.wikipedia.org/wiki/Wallpaper_group