A race. The tortoise covers the same distance every day — a straight line on the chart. The Doubler multiplies its distance by the same factor every day — a curve that bends ever upward.
At first the steady tortoise strides away and the Doubler looks hopeless. But multiplying always wins in the end: no matter how absurdly you speed the tortoise up, the overtake just slides a little later — it never disappears. Each doubling of the pace buys only a few extra days in front.
This is why compound interest beats saving a fixed sum, why a rumor outruns a newspaper, and why the old story of a grain of rice doubled on each of 64 chessboard squares ends with more rice than the world has ever grown.
Pull the log-scale lever and the ruler itself changes: on a logarithmic track, steady multiplication becomes a perfectly even stride — the honest signature of exponential growth.
Something in the simulation stopped unexpectedly — the lesson continues without it. Nothing you did was wrong; you can move on.