There is no fixed boundary between point and plane — the distinction is relative to scale and context, judged by feeling

Kandinsky argues that the point cannot be defined as ‘the smallest form’ in any exact way: a point can grow until it covers the entire ground plane, and at some indeterminate size it stops being a point and becomes a plane. Where that boundary lies cannot be fixed numerically — it can only be tested by feeling, and it depends on two relations: the point’s size relative to the plane, and its size relative to the other forms present. A mark that reads as a point on an empty field becomes a plane the instant a thinner line joins it. For generative visual work this means scale is relational, never absolute: the same rendered disk is a point, a shape, or a field depending on the frame and its neighbours. The common misconception is that ‘point’ names an absolute size; it names a role in a relationship.

Examples

In p5.js: circle(w/2,h/2,4) on an empty canvas reads as a point; the identical circle beside a 1px-wide line 400px long now reads as a plane against a line. Zooming a Hydra shape(64,0.02) from tiny to full-screen crosses the point-to-plane boundary with no discrete jump — you feel where it stops being a dot.

Assessment

Render one filled disk and progressively enlarge it on a fixed canvas. Mark the size at which it stops reading as a ‘point’ and starts reading as a ‘plane’. Then add a thin long line and re-judge the same disk. Explain why the boundary moved.