Metamorphosis

The line
that becomes

One set of points. Under one field it flows; under another it crosses; under a third it bursts. The strands never break — they transform, exposing a different function.

Try it
calm / wave
turning / burst
reaction / field
calm · wave
Move your cursor horizontally. The phase crosses thresholds — the line's function changes without the line ever ending.
Three arrangements
calm
Positive condition
A value flows. The line takes the wave function — horizontal strands, blue, continuous.
turning
Negative condition
A value is excluded. The line takes the burst function — radial, orange, divergent.
fn[n]
Categorical computation
Work selected by index from a function space. Gold — the field where structure crosses itself.
Not a tool. Not a template. A function that becomes a function — and the line between them is the only honest line.