Vol. 2wap.momSupplement 2.71

Wondering About Pi

The e Supplement

This is number 2.71.

Supplement 2.71 · Growth · galley proof

Rise

Half full, one doubling before the top.

A starter that doubles every four hours grows by the same small fraction every minute of those four hours. Growth that feeds on itself is written with e.

The jar is half full one doubling before it overflows.

Left a day, it would double six times and be sixty-four times its size, if the jar allowed.

The jar is half full one doubling before it overflows. Most of the rising happens at the end.

×1×2×4×8×16×32×64

After 12 hours, doubling every 4: 8.00 times the start. Written with e, that is e to the 0.173 per hour.

12 h
4 h
Figure Each gridline is one more doubling. On this scale, steady doubling is a straight line.

Cite “Rise.” The e Supplement, supplement 2.71 (24 September 2026). wap.mom/rise/