Permutations – Game components showing all possible combinations of a kind
I start this with the "28"-siblings Trippples and Ta Yü. You don`t know what these have to do with each other?Recommend
Look at this picture:
You see a long oktagon with numbers for each of the eight "directions". Now have a look at these details of a Ta Yü image and a Trippples image:
(Original shots by Joe Casadonte and Terraliptar)
They both represent the combination " 1 - 3 - 6 " from the diagram above.
Now, how many possibilities do you have, combining three directions out of eight possible ones? 28, if you allow turning the pieces. 56, if you don`t. In Trippples you have 56 tiles, one for each possible combination in a fixed orientation (the dot), plus some blank, start and end tiles for the game on a 8 x8 grid.
In Ta Yü, you have 4 times each, allowing turning around, making 112 tiles.
As though gameplay is totally different, they both have this permutation in common!
Now, which other games - not necessarily siblings to others - do you know using complete permutations - all possible combinations of a certain kind - as explicit part of the game components?
Feel free to add! Plus: Maybe you find more "28 / 56" - ones?
I will sort this list in groups, if there are more than one game for other examples.
PLUS Special Question: Any NON-ABSTRACT games using stuff like this?
Edit: I changed the headline until I find an even better one - math definitions drive me crazy sometimes (see comments below) ...
- [+] Dice rolls