The Arithmetic of the Chessboard
Three short lessons on the numbers in sixty-four squares: coordinates, the old doubling story, and how many squares there really are.
For grown-ups, from what GambitTales teaches children at Spark & Anvil.
Rice on the board
You'll need: A chessboard (or a drawn 8 × 8 grid), a cup of rice.
- Put 1 grain on the first square, 2 on the next, 4, then 8, doubling.
- Before going on, everyone guesses which square will first need more than the whole cup.
- Keep going until the rice runs out, and count how far you got.
- Work out roughly how many cups the last square would need.