Let's define a Complete Scrabble Block as an arrangement of Scrabble tiles such that:
- The four edges are all flat.
- All words are words.
- There is an order in which the tiles can be played in a game of Scrabble to reach the result.
For example:
CAB CAB CAB CAB CAB
E O E O E ODE
T P T POT POT
What is the largest Complete Scrabble Block that can be created? Provide an example final grid and an order of play:
CAB 111
ODE 352
POT 342
Notes:
- You don't need to stick to the Scrabble tile counts if you don't want to (though it would be cool if you did).
- You don't need to stick to the Scrabble dictionary if you don't want to (though it would be cool if you did).
- The intermediary steps do not need to be flat-edged.
- The final solution need not be a square.
- I don't know the answer, so if nobody can definitively prove correctness in their answer after a week, I'll accept the answer that provides the largest area (w*h). In the event of a tie, I'll choose the answer based on Scrabble score. In the event that this is still a tie, I'll choose the one that was put up first.