It looks like a playpen for a design-saavy man-child. Primary colors are set off by black-and-white stripes, plus pinks, oranges, and greens. Chair legs curve like Euclidean jungle gyms. Lamps suggest Legos à la Sophie Taeuber-Arp. It’s Karl Lagerfeld’s Memphis-furnished Monto Carlo apartment, created back in the early 1980s when he needed a change. “I had never lived in a modern building,” Lagerfeld said of that time. “I wanted it all modern and instantly thought that Memphis would be the Art Deco of the ’80s. I was right.” This exhibition will re-create those bold interiors, which were located in the Gio Ponti-designed Roccabella building, while also presenting eight new works by the artist Francesco Vezzoli: embroidered portraits of Lagerfeld based on 80s-era photos of the designer. He had yet to become the iconographic dandy with a white ponytail and black gloves, juggling bon mots. —Laura Jacobs