IDEELI’S NEW ADDRESS: Ideeli has locked up office space in the Renzo Piano-designed New York Times Building. The five-year-old online retailer will relocate its headquarters to take over the 45th floor of 620 Eighth Avenue by the end of August. Once the architectural firm a+i gets the place in order, more than 200 staffers will work in the open-floor space. (The New York-based agency has also done work for Vera Wang, Sean Jean and Under Armour.) Ideeli’s studio operations team will also be moving into a new location later this summer at 1385 Broadway. Founder Paul Hurley now has 5.5 million members and works with 3,000 labels.