The exposition is continued from the section 'Formal pattern (Paths)', where parabolas and hyperbolas were constructed using straight lines plus intuition to carry the suggested figures to their limiting round shape. Here we operate with actual circular movement in a constructive way. We begin a new, more concrete method of studying curves and solid bodies, actually making them real by simple operations - taking no account of their algebraic formulae - a mathematics for every one however traumatized by his early experiences. It is a construction in an almost playful way but with some hints of cosmic significances.

Four dimensional image

Catenary curves