4 ms·
This is interesting! Can you link the proof?
by temporalparts 5y ago
This is interesting! Can you link the proof?
- moomin 5y agoI can’t, but it was published in Eureka (Cambridge Maths Society/Archimedean journal) somewhere between 1988 and 1993 I think. I don’t know how to get old copies but they were all typeset in TeX. The same people also proved (earlier) that with 3-ominos its a win for the player. Incidentally, if you’re into cool maths that isn’t part of any major research line, Eureka is a great read.
- chriskanan 5y agoProof: https://harddrop.com/wiki/A_deadly_piece_sequence https://harddrop.com/wiki/A_deadly_piece_sequence Paper: https://www.semanticscholar.org/paper/How-to-lose-at-tetris-Burgiel/11c12871bfa138fa8bb93a4e5dbcca36c5d214fa?p2df https://www.semanticscholar.org/paper/How-to-lose-at-tetris-...
- gjm11 5y agoThe proof that Tetris is a win for the computer was published in Eureka 51 (1992) by Richard Tucker. (Someone else has posted a link to another paper proving this, but it's from 1997; Richard got there first.) The proof that Tris is a win for the player was published in Eureka 51 (1991) by Adam Chalcraft. Richard and Adam definitely know one another and I would be unsurprised to learn that they talked to one another about this stuff, but the actual writeups in Eureka were by different people. (Quite possibly a substantial amount of the thinking was done collectively at meetings of the "Puzzles and Games Ring", a sort of sub-organization of the Archimedeans (the student mathematical society at the University of Cambridge, which publishes Eureka).
- moomin 5y agowaves Might have known you’d have the exact details.