← Home
DEPTH 0
BEST 0
SCORE 0
DRAG TO AIM  ·  RELEASE TO PIN π
π
IRRATIONALE
π marks one exact point on the circle. Chase it — one digit deeper, forever.
Each round, zoom in and pin the point of π before the timer empties.
Nail it and you dive 10× deeper — and watch it slip one more digit away.
You can always get closer. You can never arrive.

The circle is x² + y² = 1. Walk a fraction π − 3 = 0.14159265… of the way around it and you reach the point of π. To name that spot exactly you would have to write down every digit of π — and π is transcendental: its decimal expansion never ends and never repeats.

So no finite zoom ever lands on it. Each digit you pin pins down 1/10 of the remaining gap, and there is always a next digit. The point you can reach is a rational approximation; the real point is a measure-zero needle in a continuum of irrationals — pick a spot at random and you miss it with probability 1.

That endless escape is the lesson: exact specification needs infinite information. Reality has no smallest unit and no bottom to zoom to — only ever-finer approximation. (Hypothesis of Indeterminacy — P1 · P2 · P4.)

π SLIPPED AWAY

depth 0 digits