The 53-year-old multimedia artist Yto Barrada grew up in a blue two-story house in a verdant Tangier neighborhood that overlooks the Strait of Gibraltar. About a decade ago, the Moroccan French artist, who also lives in New York City, transformed part of the family compound — including several small structures, as well as an expansive botanical garden that provides the flora she uses to make natural dyes — into what she recently named the Mothership, an experimental arts center where she offers textile and other workshops and hosts artists’ residencies. One of its newest additions, in another small garden up the path from the main street, is a 95-square-foot single-room pinewood caravan, a 50th-birthday gift to Barrada from her husband, the American filmmaker and actor Sean Gullette. “It’s my favorite present ever,” she says.