The Canadian-born architect Frank Gehry may be most well known for designing unorthodox public spaces such as the undulating Walt Disney Concert Hall in Los Angeles. But the 86-year-old Pritzker Prize winner has also completed about 10 residential properties—one of which will be auctioned off May 19 by the Chicago-based Wright auction house.

Lifelong Minnesotans Penny and Mike Winton commissioned Gehry to design a 2,300-square-foot home on Lake Minnetonka in 1982 as guest accommodations for their boxy brick…