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HOW TO PLAY: Use Arrow Keys or WASD to move tiles. On mobile, Swipe the grid. When two tiles with the same number touch, they merge into one!

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About

The 2048 8x8 Giant Grid expands the traditional parameters of the sliding block puzzle, increasing the board surface area from 16 to 64 active tiles. This variance significantly alters the probability density of the game. While the standard 4×4 grid forces aggressive merging to avoid gridlock, the 8×8 configuration allows for the accumulation of multiple high-value chains simultaneously.

This tool utilizes the standard powers of two merging algorithm. When two tiles of value x collide, they merge into a single tile of value 2x. The primary risk in this expanded format is not immediate space constraints, but rather segmentation - where high-value tiles become stranded in opposing quadrants, making convergence mathematically impossible without disrupting the monotonic ordering of the board.

2048 puzzle math game 8x8 grid strategy

Formulas

The scoring mechanism follows a cumulative summation. For every merge event where:

tilenew = tilea + tileb

The total score S increases by the value of the new tile. The theoretical maximum value of a tile on an 8×8 grid, assuming perfect execution and 4-tile spawns, approaches:

Tilemax264

However, practical limits are dictated by the spawn probability P(4) ≈ 0.1 and the spatial topology.

Reference Data

Tile Value (x)Base 2 (2n)Merge Probability RiskEstimated Moves to Achieve
221Low (Spawn)0
12827Low150+
1024210Medium800+
2048211Medium1.5k+
16384214High (Isolation)12k+
131072217Extreme100k+

Frequently Asked Questions

The 8x8 grid decreases immediate "Game Over" risk due to higher available entropy (empty space), but significantly increases the strategic difficulty of merging extremely high numbers (e.g., 65,536) because traversing the larger distance requires more moves, increasing the chance of introducing "garbage" tiles that block merge paths.
While the tile 2048 is a milestone, on an 8x8 grid, it is considered an early-game achievement. The game continues indefinitely until no moves are possible. Advanced players typically target 32,768 or higher.
The standard algorithm implemented here uses a 10% probability for a 4 and a 90% probability for a 2. This coefficient is critical for score calculation and board filling rates.
Yes. The state vector is serialized to localStorage after every move. Reloading the page will restore the exact grid configuration and score.