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 was very ancient: a uniquely Spartan aniconic representation of the Tyndaridai was as two upright posts joined by a cross-bar; as the protectors of the Spartan army the "beam figure" or "dókana" was carried in front of the army on campaign. Sparta's unique dual kingship reflects the divine influence of the Dioscuri. When the Spartan army marched to war, one king remained behind at home, accompanied by one of the Twins. "In this way the real political order is secured in the realm of the Gods". Their "herōon" or grave-shrine was on a mountain top at Therapne across the Eurotas