u/No-Possible-263

The aim of the game is to construct a closed loop with as many tiles as you can.

For each small finite group G with n elements, I create n*n = n² tiles of n different types. The difficulty increases with n and the also more "complicated" groups tend to be more difficult to "solve". Default ist the Klein Four group V4, but you can change it easily in your browser below the board of the game. Any feedback, especially any ideas on how to make this to a fun multiplayer game? (Spoiler: For the group C5 we have maximal number of tiles: 25 = 5 * 5:)

https://preview.redd.it/9jowo20lgyzg1.png?width=1093&format=png&auto=webp&s=abfa85b6dd24e0637ff86203ecf54f7c82b248b9

Hello,

I wanted to share some music I have composed using finite groups :

MP3 rendered with DAW: https://www.orges-leka.de/music/abelian_group_2_9_5_three_voices.mp3

Score as PDF: I am not sure how readable the score is though, I have used musescore to expor the midi which is generated through an algorithm and sonifies the permutations of some finite group: https://www.orges-leka.de/music/abelian_group_2_9_5_three_voices.pdf

I have done more finite groups, but this one I like particularily and like to listen to while walking.