The only tour by a wazir on a 1×n board is an open tour consisting of a straight walk from one end to the other, and a closed tour is possible only on the 1×2 board. A rook, however, can start on any cell and can enter the cells in any order.

The meaning of ROOK'S TOUR is a chess problem in which a rook makes a circuit of the board touching each square once.

In graph theory, a rook's graph is an undirected graph that represents all legal moves of the rook chess piece on a chessboard. Each vertex of a rook's graph represents a square on a chessboard, and there is an edge between any two squares sharing a row (rank) or column (file), the squares that a rook can move between.

Apr 8, 2025 · The rook is allowed to move horizontally or vertically but not to an adjacent square (that is, it must move at least two squares). Is there a starting square and a sequence of 16 moves that will take the rook to each of the squares exactly once and …

Mar 30, 2011 · "Maneuver a rook about an otherwise unoccupied chess board in such a way that it lands on every square once and only once. The rook may not pass through a previously occupied square." -- from the Chess Tours PDF that you'll find here. Here's an easy Rook's Tour puzzle (fill in the remaining squares):

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Is it possible for the rook to make a tour of 64 64 moves such that: the rook makes 32 32 horizontal and 32 32 vertical moves? I'm looking for hints. Clarification: if a rook makes a move from, say, a1 to a8, then squares a2 to a7 are considered visited as well.

Apr 2, 2010 · This post will be a complete tour about the Rook endgame theory.. I hope you will enjoy it! example 1: In order to have protection from the various dangers which may threaten, let the King provide himself in good time with a serviceable shelter.

Prove that a rook can visit the entire chess board in 15 moves, but not in 14 moves or less. A jumped over square is considered visited, as well as start and end squares. This is a question from an elementary graph theory book. It's in a chapter dedicated to …

For those who haven't learned how the chess pieces move, or have forgotten, this section describes the moves. The rook moves only vertically or horizontally (see figure B-1). The knight moves in an "L" pattern, as shown in figure B-2. The bishop moves only diagonally, as …