Multidimensional Turing Machine
This is a work in progress.
A multidimensional Turing Machine is a Turing Machine that use a multidimensional tape instead. These turing machines have (2*dimension count) different moving directions, 2 each for 1 dimension.
Example: 1RB0UA_1DA0LB is a 2-dimensional Turing Machine, used L, R, U (Up), D (Down) 4 moving directions, and 1RB0FA_1DA0LC_1BC0UA is a 3-dimensional Turing Machine, used L, R, U, D, F (Front), B (Back) 6 moving directions.
BB_2D(n,m) = Maximum number of steps taken by a halting n-state, m-symbol 2D Turing machine starting from a blank (all 0) 2D tape and BB_3D(n,m) = Maximum number of steps taken by a halting n-state, m-symbol 3D Turing machine starting from a blank (all 0) 3D tape.
Values
| Domain | Runtime | Champion |
|---|---|---|
| BB_2D(2) | >= 6 | Same as BB(2) |
| BB_2D(3) | >= 32 | 1DB1LC_0LC0RB_1UA1RZ
|
| BB_2D(4) | >= 4,632 | 1RB0DB_1UD1RC_0LA1UC_1LA1RZ
|
External Links
https://github.com/GollyGang/ruletablerepository/wiki/TwoDimensionalTuringMachines