If we understand confluence to be a flowing together of two streams, or the like, this artistic research tries to uncover the intricacy of an “agility of perspective nearness". I draw from current research in algebra, in collaborative thought with Karin Baur. After decorating tiling with strands, induced plabic graphs of an octagon are used to produce a full set of Non-Uniform Rational B-splines (NURBS) circles of an irregular nature. Five of these circles are selected according to their graphical fluency to create 2 self-intersecting surfaces, which share some alignments in common. These one-face skins express self-similarity, but remain unique and can be separated, along a perceived line of perspective nearness. This agility of closeness and/or separateness is fascinating, and helps to understand confluence, where 2 bodies merge to a whole. These graphical discoveries lead to multiple derivatives in artistic output, with intuitive resemblance to the research on confluence as a whole.