The Icohex

The ancient Greeks studied the Platonic Solids extensively in past times. Aristotle, Socrates, Plato, and Pythagoras are variously credited with their discovery. The discoverer of the enigmatic Icosahedron, is attributed to Theaetetus, a contemporary of Plato, who named a dialogue after him, concerning the nature of knowledge, and a crater on the Moon is named after him... In this dialogue, Socrates and Theaetetus discuss three definitions of knowledge: knowledge as nothing but perception, knowledge as true judg-ment, and, finally, knowledge as a true judgment with an account. Each of these definitions is shown to be unsatisfactory... Socrates declares Theaetetus will have benefited from discovering what he does not know, and that he may be better able to approach the topic in the future. The conversation finally ends with Socrates' announcement that he has to go to court to face a criminal indictment... (Wikipedia) ...the indictment itself perhaps a necessarily cryptic encoded metaphor for the repressed possibility that Theaetetus may well indeed have benefited, from discovering what he does know... An extensive exploration of a previously unknown, mystical bipolar twelve/twenty-six sided structure, in the pattern of the great ancient philosophers...