Monday, September 17, 2007

Bagels, Pico, Fermi - Mastermind with Digits


There's a great logic game that's like Mastermind with numbers. You guess a three digit number and you get clues as to whether you got any of the digits correct and whether you got them in the correct place. When you make guesses, you get a clue. The clues are:
  • Bagels means a digit you guessed is not in the number,
  • Pico means a digit is correct but in the wrong position
  • Fermi means a digit is correct in the correct position
For instance suppose you guess is 457 and get the clue Fermi Bagels Bagels. It means one digit is in the correct place and two are not in the number at all. But you don't know which digit the clues apply to.

You can play it on paper or a blackboard with kids. Here are the instructions.

Or you can play it online. There are no instructions on this page and you enter your guesses via pull downs, but it works fine. (When it gives you the clues it just lists the Fermis first, then the Picos, then the Bagels - it doesn't give a clue as to which digit each refers to.)

And a tidbit on the name
from the instruction page. I always find these connections interesting.
"We don't know the official origin of the name of this game. Bagels are shaped like zeros and indicate that there are no correct digits. Pico (peek-oh), from the Spanish meaning 'beak' or 'peak,' is used in science as a prefix meaning one-trillionth. For example, 1 picometer = 10-12 meter. who later moved to the United States. Enrico Fermi (fair-mee), 1901-1954, was an Italian-born atomic physicist. He won the Nobel Prize in 1938."