Nightrider's Sudoku
For a "spooky" Halloween puzzle, I decided to go with the Nightrider, a piece which you might otherwise simply mistake for a Knight if not for its "terrifying" glowing red eyes.
The Nightrider combines the standard leap of the Knight with the travelling power of the Bishop. It leaps by making as many Knight moves as it wants in the same direction. If you call the standard Knight a (1,2)-leaper since it leaps one space in one direction and then two spaces in a direction orthogonal to that, then you say the Nightrider is a (n,2n)-leaper instead for any number n that fits on the board. I'm including a move guide below the puzzle that shows all the squares that a Nightrider can attack from one position. The Nightrider (sometimes referred to as a Knightmare) is a popular piece that pops up in a number of different chess variants. It even has its own wikipedia page.
There are many puzzles which can be made with the Nightrider, including various "chesssweeper" style puzzles which combine multiple pieces on the board at once. Here, I have decided to introduce this piece with its own chess Sudoku. This means that every row and column must contain exactly three Nightriders. The starting location of some of these pieces has already been given, and the numbers in those cells indicates the number of other Nightriders that the piece in that cell can attack.
Solution
The Nightrider combines the standard leap of the Knight with the travelling power of the Bishop. It leaps by making as many Knight moves as it wants in the same direction. If you call the standard Knight a (1,2)-leaper since it leaps one space in one direction and then two spaces in a direction orthogonal to that, then you say the Nightrider is a (n,2n)-leaper instead for any number n that fits on the board. I'm including a move guide below the puzzle that shows all the squares that a Nightrider can attack from one position. The Nightrider (sometimes referred to as a Knightmare) is a popular piece that pops up in a number of different chess variants. It even has its own wikipedia page.
There are many puzzles which can be made with the Nightrider, including various "chesssweeper" style puzzles which combine multiple pieces on the board at once. Here, I have decided to introduce this piece with its own chess Sudoku. This means that every row and column must contain exactly three Nightriders. The starting location of some of these pieces has already been given, and the numbers in those cells indicates the number of other Nightriders that the piece in that cell can attack.
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