Cool breezes, miles of pristine beaches, and vast, open farmland have long attracted visitors to Long Island€s South Fork, known worldwide as €œThe Hamptons.€ Residents in picturesque seaside communities from Southampton to Montauk are calling upon world-class designers to fine-tune their visions, giving rise to a fresh design vernacular: homes that are testaments to what can be achieved when inspired by the natural beauty of a unique locale€"and when imagination is one€s only limitation.  Out East captures the enduring appeal of shingled houses, modernist oceanfront designs, artists€ compounds, and Montauk surf shacks. Jennifer Ash Rudick, a long-time Southampton resident, leads an insider€s tour of more than 25 houses, cottages, and pool houses. Tria Giovan, a Sag Harbor€“based photographer, captures extraordinary gardens, verandas, lakeside pavilions, farmhouses, and converted barns. Â