Escentialy, a Gotheek is a fake person who acts a certain way in order to gain attention but is so socialy awkward that they fail in their false exterior as well.
"Yeah, she totaly came back from break and now she's trying to act all 'goth'"
"Does she still carry around those anime books?"
"Yeah, what a Gotheek"
1. a geek who is generally unique and dark
2. a goth who is better than most with computers or other tech like items
person 2: yea he's so dark and a little creepy
person 1: yea but he's a beast with computers
person 2: no doubt he's so frickin gotheek