How to play
FREELY MAKING BUNCHES
(free commutative monoid)
SETUP
Ahead of time, decide on a fixed collection of pieces.
INSTRUCTIONS
The objective of the game is to make bunches of pieces, copies allowed, to your heart's content.
PLAY
Have fun!
NOTES
Choosing a bunch of pieces, copies allowed, is the same as assigning a whole number to each available piece.VARIATIONS
If you don't allow copies in the bunches, it's a game of just plain making sets (or "selections").
If you start caring about left-to-right placement of pieces, it's a game of making lists.
| No concept of multiplicity | ||
|---|---|---|
 Set |  Multiset |  List |
| No concept of order | ||
Many other games use the idea of bunches (multisets).
In this game, certain bunches are made "equal" -- they can be swapped out for one another.