The math inside

Franco maze

Rules

S F 1
Build a maze for your opponent: 30 walls, one path left open
S 1 2 3 4 5 2
Take turns walking the other maze blind, up to 5 steps a turn
Hit: turn over Known: no step 3
Hit a wall and your turn ends; the wall stays on your map
Turn 1Turn 2Turn 3 F 4
Seat 1 goes first, one turn each; next game the other starts

First to the bottom-right finish wins.

Where it comes from, and questions to think about

In 2003 the Italian game writer Andrea Angiolino put it in Mind-Sharpening Logic Games. In 2022 Ben Orlin put it in the information games chapter of Math Games with Bad Drawings. Both books call it the Franco-Prussian Labyrinth. Mind-Sharpening Logic Games

Questions strong players ask

  • What is the fewest steps from start to finish?
  • Each time I hit a wall, what did I just learn?
  • When I build, where should a wall go so the other player is most likely to hit it?
Local
Online
Match history