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UBC Theses and Dissertations
Can you win at TETRIS? Brzustowski, John
Abstract
TETRIS is a popular video game in which you try to fill rows in a rectangular well using a sequence of tetrominoes chosen by the machine. Each time you succeed in filling a row, it is deleted from the well. Your game ends when you have stacked pieces up to the top of the well. I build a model of TETRIS and analyze the worst-case scenario, in which the machine is treated as an adversary. I say you have a winning strategy when you can make your game last indefinitely. I construct winning strategies for some subsets of the TETRIS pieces, and prove that none exists for some others. Finally, I compare these analytic results to some empirical average-case data that I obtain from a passive survey of TETRIS players.
Item Metadata
| Title |
Can you win at TETRIS?
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1992
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| Description |
TETRIS is a popular video game in which you try to fill rows in a rectangular well using a sequence of tetrominoes chosen by the machine. Each time you succeed in filling a row, it is deleted from the well. Your game ends when you have stacked pieces up to the top of the well. I build a model of TETRIS and analyze the worst-case scenario, in which the machine is treated as an adversary. I say you have a winning strategy when you can make your game last indefinitely. I construct winning strategies for some subsets of the TETRIS pieces, and prove that none exists for some others. Finally, I compare these analytic results to some empirical average-case data that I obtain from a passive survey of TETRIS players.
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| Extent |
3112820 bytes
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| Genre | |
| Type | |
| File Format |
application/pdf
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| Language |
eng
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| Date Available |
2008-12-20
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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| DOI |
10.14288/1.0079748
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| URI | |
| Degree (Theses) | |
| Program (Theses) | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
1992-05
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.