It’s hard to believe that there is only one Piero Lissoni. In addition to running his acclaimed architecture firm, Lissoni & Partners, the 66-year-old polymath is creative director of luxury Italian home brands including B&B Italia, Boffi, Porro and Sanlorenzo. From his offices in New York and Milan, Mr. Lissoni and his team also handle interior design, graphics and landscaping.

Since launching his firm in 1986, Mr. Lissoni has designed hotels, commercial projects, and corporate headquarters. While most of the residential projects have been private villas, the firm has just unveiled its second large-scale living project, the Arc at South Bank complex in Turks and Caicos. The firm is also set to complete its first US hotel project, the downtown AKA Nomad Hotel.

“I do not have a…