¶ Triangle
Index Entry
‘The triangle is the fundamental component of structure but each triangle has two component functions: the edges (vectors) and the angles. The edges synergetically interact–synergetically because there is naught in the characteristics of a single linear vector, per se, that predicts the co-existence of an angle. No angle can exist until two vectors co-exist and interact in critically significant proximity to permit an observed crossing of their action paths to form an angular aspect. Then it takes three angles and three vectors to constitute an ‘event.’ Two events of two angles and three edges each constitute a tetrahedron: thus two events constitute two event functions, the positive and the negative, to make a minimum structural system. The tetrahedron is the simplest structure known-- experimentally and metaphysically-- to man. The triangle exists operationally only as a positive or negative function of a polyhedron. Of all the polygons only triangles are structurally stable. Try a square with rubber joints: it folds up. Try another rubber-jointed polygon-- it will fold up. Try a rubber-jointed triangle-- it won’t fold up: It is stable. Stability relates to the angular behavior: the sides of polygons can’
