How to play
FREELY MAKING LISTS
(free monoid)
SETUP
Ahead of time, decide on a fixed selection of pieces.
INSTRUCTIONS
The objective of the game is to make lists of pieces to your heart's content.
PLAY
Have fun!
VARIATIONS
When letters are used, it's a game of making gibberish strings of text.
If you don't keep track of the order of pieces in the lists, it's a game of making multisets (or "bunches").
If you furthermore don't allow multiple copies of pieces, it's a game of making sets (or "selections").
| No concept of multiplicity | ||
|---|---|---|
 Set |  Multiset |  List |
| No concept of order | ||
As a cosmetic choice, the pieces could come with an "input" wire and an "output" wire.
The process of linking outputs up with inputs is just like arranging pieces in a list.
If the pieces came with multiple input wires, you would find yourself making trees instead.
If the pieces came with multiple input and output wires...
| One input/output | Multiple inputs | ... | ... | ... |
|---|---|---|---|---|
 List |  Tree |
Many other games use the idea of lists.
