This is an example of a completed Argyle Sudoku Puzzle.
All of the usual rules of Sudoku apply, but the grid also contains 8 diagonal lines.
Numbers can't repeat along any of these lines.
This makes Argyle Sudoku quite similar to X-Sudoku, but none of the diagonals on an Argyle Sudoku contain 9 cells (the longest diagonals contain 8 cells).
This means that you can't apply Single Position to the diagonals (as that number doesn't need to appear on a given diagonal at all).
But, you are able to remove candidates from other cells along the diagonals.