2 Different Themes Within a Genesis Install?

This may well be a silly question, but it's been a long, long day. I currently have a very nice Genesis install using the Platinum theme for my company's website. I'd like to create a completely separate part of my site to feature some of my personal work. I'd like this separate section to have a completely separate theme. I'd prefer to have it have it's own sub-directory (xyz.com/me) or perhaps a subdomain (me.xyz.com)--that's not critical. Anyway, do I do a complete WordPress install into that subdirectory and run a new instance of Genesis from within there? Or, is my tired brain not seeing the forest for the trees? Thanks so much in advance.