For years, the exclusive golf club here has been shrouded in myth: it was built by Chinese laborers; the sand traps were filled with expensive crushed granite; the privileged men who got to play the course were sometimes flown in on floatplanes, landing on one of the course’s gentle ponds.

The fact that local golfers could glimpse features of the mysterious course from the adjacent public course added to its legend, and to the envy of those who can only peek and wonder. “I’ve never seen anyone on it, and other guys who have worked here for years say the same thing,” said Dan Maier, 22, of Sherman, Conn., a greenskeeper at the public course, Richter Park.