Short join codes for worlds: how many can exist before two clash?

Short codes are easy to read out loud, but with a few hundred worlds the chance of two worlds sharing one is much higher than it feels, and players join the wrong world. This shows how to size a code for the number of worlds and how to hand out new ones.

Why this works

Clashes do not wait until the codes are used up: every new code can hit any earlier one, so the risk grows with the square of the count, not with the count. That is why a code must be sized for the number of pairs, and new ones checked against the old.

When not to use it

Skip it when a central place hands out codes in order, or when a clash cannot cause harm. A counter or a lookup that refuses duplicates is simpler and has no risk at all, though the codes are easier to guess.

In the full entry

• What to build, step by step
• Starting values and the reason for each
• 3 common mistakes and the fix
• 35 lines of example code with 4 checks that pass
• How your AI shows you that it works

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