About

This tool addresses the cognitive risk of pattern blindness and poor spatial planning. In standard logic puzzles, the challenge is not just movement, but managing the entropy of a closed system. The Alphabet 2048 engine simulates a finite grid where the variable x represents a letter rank. The core operation is the fusion of identical entities: L_n + L_n → L_n+1.

Unlike simple arithmetic variants, the alphabetical progression requires distinct mnemonic mapping. The player must optimize the Grid Density (ρ) to prevent a GAME_OVER state, defined as the condition where ∀cell ∈ Grid, neighbors(cell) ≠ cell. This implementation uses a non-blocking vector slide algorithm to ensure fluid mechanics while maintaining strict rule enforcement.

Formulas

The merge mechanics follow a strict power-of-two progression mapped to the Latin alphabet set A:

Tile(i) + Tile(i) = Tile(i+1)

Where the value of a tile at rank n is technically 2ⁿ. The game terminates when the empty set E of the grid is null:

size(E) = 0 ∧ ¬∃(x,y) s.t. Grid_x,y = Grid_neighbor

Reference Data

Tile Rank	Letter	Standard 2048 Value	Probability of Spawn
1	A	2	90%
2	B	4	10%
3	C	8	0% (Merge Only)
4	D	16	0%
5	E	32	0%
6	F	64	0%
7	G	128	0%
8	H	256	0%
9	I	512	0%
10	J	1024	0%
11	K	2048 (Goal)	0%
26	Z	2²⁶	0%

Frequently Asked Questions

The traditional win condition is reaching the letter "K" (which corresponds to the number 2048). However, the game allows endless play up to "Z" and beyond if the grid space permits.

If all 16 cells are occupied and no adjacent tiles contain the same letter (e.g., no "A" next to an 'A'), the game enters a "Game Over" state. You must use the "Restart" function to clear the entropy.

Yes. The application uses LocalStorage to persist the state vector. Your grid configuration, current score, and high score are automatically restored upon reload.

Yes. You can use Arrow Keys, W/A/S/D keys, or H/J/K/L (Vim style) to manipulate the vector field. Touch swipes are supported for mobile devices.