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From the Fairy Board identify: [1] The 2 ways to arrange 4 non-attacking kings on a 4 X 4
board with 1 in each row and column.
See Hertzsprung's problem: ways to arrange n non-attacking kings on an n X n
board, with 1 in each row and column (A002464) [2] The 4 ways to place a non-attacking white and black rook
on 2 X 2 chessboard.
See Number of ways to place a non-attacking white and black rook on n X n
chessboard(A035287) [3] One of the 4 ways to place 10 nonattacking superqueens
on a 10 X 10 board.
See Number of ways of placing n nonattacking superqueens on an n X n board(A051223)
Free, one-sided, and fixed polyknights There are three common ways of distinguishing polyominoes and polyknights free polyknights are distinct when none is a rigid transformation ( translation, rotation, reflection or glide reflection ) of another ( pieces that can be picked up and flipped over ). one-sided polyknights are distinct when none is a translation or rotation of another ( pieces that cannot be flipped over ). fixed polyknights are distinct when none is a translation of another ( pieces that can be neither flipped nor rotated ). Yellow submarine shows polyknights of various types with 2 cells.
