Chess Loop Puzzles

In each of the puzzles below, you are asked to position 2 types of chess pieces on a chess board so that each piece attacks only 1 of the other type of piece (and none of its own type of piece), and the attacks form an alternating loop. An example with 2 bishops and rooks is shown below.

Each puzzle has a unique solution, up to symmetry. All puzzles copyright Erich Friedman, 2009.


1. Place 2 knights and kings
on a 2×3 chess board.
      9. Place 4 bishops and kings
on a 5×5 chess board.
2. Place 3 knights and kings
on a 4×5 chess board.
10. Place 3 knights and rooks
on a 3×4 chess board.
3. Place 2 rooks and kings
on a 2×4 chess board.
11. Place 5 knights and rooks
on a 3×8 chess board.
4. Place 3 rooks and kings
on a 4×5 chess board.
12. Place 2 knights and queens
on a 2×4 chess board.
5. Place 2 bishops and knights
on a 3×3 chess board.
13. Place 3 knights and queens
on a 3×6 chess board.
6. Place 4 bishops and knights
on a 4×4 chess board.
14. Place 3 knights and queens
on a 4×5 chess board.
7. Place 3 bishops and knights
on a 3×5 chess board.
15. Place 4 knights and queens
on a 4×7 chess board.
8. Place 4 bishops and kings
on a 4×6 chess board.


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