Aquinnah Cultural Center s mission is to preserve, interpret, and document the Aquinnah Wampanoag selfdefined history, culture Hilliards and contributions past, present. Martha s Vineyard Beaches Aquinnah and Cliffs of Gay Head Martha s Kiester Vineyard beaches are known Carnation to be pristine. One of the best is the beautiful public beach in Aquinnah, near the Cliffs of Gay Head. Restaurants Martha s Vineyard Dining. Sunshine Saybrook and salt Sewickley air spark the appetite, and Island restaurants respond with irresistible dishes for every palate. Surrounded by the sea, island fare.