"Let no one enter here who is ignorant of geometry" is an inscription over the door of Plato's Academy. For me it is a first reference to the the triangle as the shape of desire as distilled by Sappho one of Greeces' well known female philosophers. She percieves it as a three-part structure. For, where eros is lack, its activation calls for three structural components - lover, beloved and that which comes between them. They are three points of transformation on a circuit of possible relationship, electrified by desire so that they touch not touching. Conjoined they are held apart. The third component plays a paradoxical role for it both connects and separates, marking that two are not one, irradiating the absence whose presence is demanded by eros.