For hedge fund kingpin Steven Cohen, 35,000 square feet is simply not enough. Is the SAC Capital Management chief to go without a dressing room, a breakfast room and a garden room at his Greenwich, Conn. estate?

Not if he can help it, that’s for sure. The billionaire has asked Greenwich’s Planning and Zoning Commission for permission to add 1,145 square feet in a pair of additions to his 35,085-square-foot, 14-acre Crown Lane estate. The commission is set to review Cohen’s application at its Dec. 16 meeting. In addition to the aforementioned new rooms, the expansions would also include more storage space.

Cohen’s mansion already boasts an ice rink (with Zamboni machines!), an indoor pool, a basketball court and, based on aerial views of the palatial manor, a tennis court and a two-hole golf course. He has already made copious additions to the home since he and his wife, Alexandra, bought it in 1998 for $14 million.

Under the plan submitted, the new spaces would be built on existing impervious surfaces to avoid increased runoff. Cohen has already won approval from Greenwich’s engineering division.