13 APR 2013 by ideonexus

 Riddle of the Lily Pads

There is great truth in the oft-quoted riddle of the lily pads. A pond (a lake, an ocean, all apply) starts with a single lily pad. Each pad doubles per day; the pond will be full in thirty days. When is the pond only half full? On the twenty-ninth day. After the next day, the thirtieth, further growth is so fast it will, if somehow continued, overwhelm the pond and everything in it in a matter of hours.
  1  notes

A lesson in exponential growth.

An interesting reference to the exponential growth when the Vizicar asked the king for doubling growth of grains for each square of the chessboard he had invented. Not terribly large amounts at first, but they become vast as we work across the boards 64 squares.