To find the missing hiker, begin two miles west of the square?s southeastern corner and follow the route shown in the illustration at right. The total length of the route is about 29.31 miles, so the search party will detect the hiker?s signal in about 293 minutes.
This solution, proposed by Robert Dawson, is extremely clever. It is a variant of a 299.99-minute solution proposed by Erik and Martin Demaine of the Massachusetts Institute of Technology. I asked them for help after I couldn't find a solution that was much better than 350 minutes.