Board games

Go-first dice — four d12 that settle the whole turn order in one fair roll

Four twelve-sided dice carrying the numbers 1-48, one each. Everyone rolls once and reads the turn order straight off the table. Ties are impossible, and every one of the 24 finishing orders is exactly equally likely, so it does not matter which die a player picks up. Works for 2 and 3 players too by leaving dice in the bag. The numbering is a solved combinatorial object and the build refuses to export unless a brute-force check over all 20736 rolls still passes.