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Penny is Leonard and Sheldon's new neighbor across the hallway and is, as described by Wolowitz, a "cheesecake-scented goddess". This description is fairly accurate, considering Penny is a waitress at the local The Cheesecake Factory. She is also writing a movie about a girl from Lincoln, Nebraska, who travels to Los Angeles to become an actress but ends up working at the Cheesecake Factory instead. When Leonard asks if the movie is autobiographical, she replies no because she's from Omaha, Nebraska.

The reason Penny is in the apartment building in the first place is because she recently split with her boyfriend of four years, Kurt, and was thrown out of their place. She says she still loves him but wants custody of their television set. The shower in her apartment is currently broken, much to Leonard and Sheldon's friends' delight (she now uses Leonard and Sheldon's shower and tends to wear nothing but a towel). She is very aware of her neighbors' nerd status but remains friends with them anyway, revealing her kindly nature.

She's either ignorant of or all too aware of her effect on the boys, because within minutes of meeting them, she asks Leonard to retrieve her television set from ex-boyfriend's apartment, which he immediately sets out to do. It is not known if Penny returns Leonard's affections. She is messy and disorganized but appears to like it that way. Whenever Penny goes on a rebound relationship, she picks up an attractive man and then has 36 hours of meaningless sex over the course of a weekend; afterward, the relationship deteriorates.

(wikipedia.org)