coloin wrote:re'born wrote:Here is a question: Does the term subpuzzle already have an established meaning. If not, this seems to be the perfect term.

JPF defined minimal puzzles and subpuzzles

here ........

not to be confused with grid solution and subgrid etc

Thank you for the reference, coloin. The definition of subpuzzle is not what I had imagined it would be. As it is, none of isolated, independent, disconnected or orthogonal (

) subpuzzle make any sense as a subpuzzle refers to a 9x9 grid with digits removed. How can it be isolated, etc. from the rest of the puzzle? It is the puzzle!

What if we define a subgrid of a grid

G to be any subset of the cells of

G? Of course, now we run into trouble when we remove digits from the cells in the subgrid. Since a subpuzzle is what you get when you remove digits from a grid, what should you get what when you remove digits from a subgrid? A sub-sub-puzzle? Probably, subpuzzle should be renamed puzzle and then we would recapture subpuzzle for when you remove digits from a subgrid. At this point, Allen's isolated subpuzzle terminology would make sense again and the definition of subpuzzle would match the more intuitive definition (subset of the puzzle).

...just an idea.