I’m doing something that I should have done a long time ago: collect past series of posts into a single, easy-to-reference post. The following posts formed my series on using algebra to study the 2048 game… with a special focus on reaching the event horizon of 2048 which cannot be surpassed.
Part 1: Introduction and statement of problem
Part 2: First insight: How points are accumulated in 2048
Part 3: Second insight: The sum of the tiles on the board
Part 4: Algebraic formulation of the two insights
Part 5: Algebraic formulation applied to a more complicated board
Part 6: Algebraic formulation applied to the event horizon of 2048
Part 7: Calculating one of the complicated sums in Part 6 using a finite geometric series
Part 8: Calculating another complicated sum in Part 6 using a finite geometric series
Part 9: Repeating Part 8 by reversing the order of summation in a double sum
Part 10: Estimating the probability of reaching the event horizon in game mode
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