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The stack algorithm can already yield 16 blue/red cards in a row or 8 white cards in a row (more if you count bonus cards). It very rarely does...
Here is my personal high score, which I have now maddeningly achieved exactly twice. I'm stuck in a thrut!
Jumping into the +2 case, there are three basic ways to reach a count of +2: 2 cards into stack: [RR][RRBBBB] // 15 possible sequences 4 cards...
I would like to propose a step 2. It consists of the following: "Hey Asher or Greg, is the choice of insertion row/col truly random?" :D...
That is astoundingly good. Does it take into account the '+' hint for bonus cards? Also, out of curiosity, could you try running the simulation...
It would be nice to have leaderboards for "Highest 7-tile score" or "Highest 8-tile score". The board mclifford82 posted yields an 8-tile board...
Thanks for the formatting tip. The "counterexample" was specifically to the lemma that no-singletons entails at least 7 cards; this arrangement...
Counterexample: 12 _ _ 3 _ 2 3 _ 6 _ _ _ _ 3 _ _ (Twelve in the top left.) The trick is to show that such 6-tile boards cannot be...
I'm certain it is impossible to make a board with fewer than 7 tiles. Reasoning: there will always be at least one tile in each row and column,...
Another idea for Threes, though it may go against the grain of the game developers' philosophy... With practice, I've found that the early part...
It would be interesting if the game were to collect and display some basic statistics about user play over time. In particular, for each...
Evidently, the initial 9 cards on the board are part of the first 12-stack. So the next three cards coming in will complete that stack of 12, and...
Sixlock, 6 * 6 * 6! Just joining the conversation. Here's a game that I'm particularly proud of, Sixlock with score 6 * 6 * 6, though admittedly...
