A child stands between a single tiny gold penny lying alone on the ground and an enormous towering pile of teal money stacks looming beside them.

Why do tiny things grow huge?

One tiny penny. One giant pile of cash. In a month-long race — which one would you bet on?

A pile can grow two ways. ADD the same block every day and it climbs a straight ramp. DOUBLE it — add another whole pile of the same size — and it bends upward.

Two panels: on the left teal blocks rise in an even straight staircase, on the right gold blocks start tiny and each is taller than the last so their tops bend upward to the same finish height.

The steady way: drop another $1,000 on the pile every day. Every block is the same size, so it climbs a straight ramp — it never speeds up.

Meet the racers. Steady Sam adds $1,000 a day. Doubling Dot starts with one penny that doubles daily. After a week Sam has thousands — Dot still has pennies.

Two racing lanes: on the left a solid pile of teal money stacks, on the right a single tiny gold penny on the starting line, with a child standing between them looking at the penny.

Drag the first ten days. Ten doublings multiply any pile by 1,024—about 1,000. Ten more multiply it by about 1,000 again.

day 1 — penny = 1¢
DAY 1DAY 10

Ten doublings: 1 → 2 → 4 → 8 → 16 → 32 → 64 → 128 → 256 → 512 → 1,024.

Two weeks in, Sam's pile towers up. Dot's penny is still pocket change. It looks hopeless for the penny… but the race runs to day 30. 🤔

An enormous teal tower of money stacks dwarfs a child looking up at it, with one still-tiny gold penny sitting almost unnoticed at the base.

Sam adds a fixed $1,000 a day. Dot's penny doubles every day.

It's day 30. Who has more money?