Douglas Darden laughter was the laughter of three young girls, who were, in essence, their clients: the fourteen year-old twins, Cass and Polly, and their nineteen-year-old friend, Helen. Cass and Polly are most likely feminized renderings of the celestial twins of Greek mythology, Castor and Pollux (better known as Gemini), and their sister, Helen of Troy. Many of his original sketches and drawings for Oxygen House are now owned by the Museum of Modern Art, along with a select few of "Sex Shop" drawings; gifts of Darden's widow. The remainder of his drawings are held at the Avery Architectural and Fine Arts
Castor and Pollux (Prado) have included: All these identifications are now thought to be erroneous and simply due to the figure's restoration as Antinous: the group is now accepted as Castor and Pollux, offering a sacrifice to Persephone. Such an identification is based on the right-hand figure, who holds two torches, one downturned (on a flower-wreathed altar) and one upturned (behind his back), and on identifying the woman's sphere as an egg (like that from which the Dioscuri were born). The interpretation was supported by Goethe, who owned a cast of the group. Some scholars assert that the statute group was originally created by