In the IDW continuity, Oroku Karai's New York Penthouse is a private residence located on the top floor of a high rise in New York City. The residence is large and includes a balcony off of Karai's bedroom. This is also where the chamber where Karai conducts her magic is located.
History[]
After a strange dream wherein she encounters both Shredder and Masato, Karai wakes in her penthouse bedroom. Because meditation does not always work for her, she decides to go for a run and leaves by way of her balcony. She soon encounters the Imposter Turtles and does battle with them, but is interrupted by the arrival of the police. Back at her penthouse, she converses with Natsu, who she leaves in charge while she goes out to build alliances. The Armageddon Game: The Alliance issue 1
Natsu, Koya, and Bludgeon go to Karai's penthouse to speak to her, but find their way to her private chamber blocked by Bebop and Rocksteady. When it seems that Koya and Rocksteady are about to fight, Natsu stops them with a reminder that Karai would not like to see her penthouse trashed. Rocksteady decides it would be a good time to go to the kitchen for a drink. One Hale of An Afternoon