Things that change how numbers are compared and how tiles are captured.
Assault: The primary number is subtracted from the enemy tiles to which it is compared.
Diplomacy: The primary number is added to the enemy tile.
Archers: Compare the primary and the non-touching side.
Single Match: Match a single side or the primary number.
Collection: Every tile must come from a particular collection.
Limited: Only X number of tiles of each type can be used in the deck. Not sure what number to put (2 or 3, ballparking), but it'd be nice for forcing some deck vulnerability.
Change - You pick your hand, other person plays with it.
Handicap - Gives a modifiable sum change to one person or the other. For simplicity's sake, -# subtracts from the challenger, # adds to the challenger. Leave it to the players to make sure it fits the game type.
Tournament - Calls for a set deck size of 25, and it plays as a best of three. Tiles are considered used once they are in your hand, so you can't use them again in the next games. Initial rules carry throughout, play separate games if you want different ones.
You could call this more "Things that happen when you capture a tile" than anything.
First, I'd like the main chain rule and confusion rule explained to a better degree and added to the HELP TT scroll. Seems to be a common desire!
Reckless: Every capture causes the tiles to be compared again.
Shift: Capturing a tile rotates it once.
Swap: Capturing a tile causes both to switch sides, flipping if necessary.
Quake: All touching tiles are randomly rotated once when a tile is laid.
Shiny tiles or ultra rare, cosmetically different versions of tiles would be good for collectors while not doing anything to the game.
Bosses should have tiles on their loot tables! >.> You lay a darkly glowing tile of Zsarachnor in niche 9.
Add "decks" to the TT cache. Allow people to TT CHALLENGE person RULES WITH DECK# and TT ACCEPT WITH DECK#. It's what people do anyway, so might as well make it internal. I also don't see a reason to limit the number of decks too much, but ten would probably be a good number if the game and capture rules are expanded.
I think that's all I have for now. I will probably add more, and I don't mind updating the first post with other ideas so any admin-types can have a nice, shiny list of Triptycha ideas *winknudgewink*