What is the rook chess problem?

The rook problem of a chessboard is to determine the minimum number of rooks that can dominate all squares of the chessboard. For example, in Fig. 1(b), all squares can be dominated by four rooks located at squares , , , and .

What is the classical eight rooks problem?

The question asked is: "In how many ways can eight rooks be placed on an 8 × 8 chessboard so that neither of them attacks the other?" The answer is: "Obviously there must be a rook in every row and every column.

What is the formula for the rook polynomial?

the rook polynomial is R(x, B1 ∪ B2) = R(x, B1)R(x, B2)=(1+4x + 3x2)(1 + 8x + 13x2) = 1 + 12x + 48x2 + 76x3 + 39x4.

What does rook represent in real life?

"In the medieval shatranj, the rook symbolized a chariot. The Persian word rukh means chariot (Davidson 1949:10), and the corresponding piece in the original Indian version chaturanga has the name ratha (meaning "chariot")."

Why is the rook so powerful?

A rook is generally more valuable than a bishop because: it can reach all squares of the board, while a bishop can stay only on squares of the same color. it can mate in KR vs K, while you cannot win KB vs K.

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Why is the rook important?

Among chess pieces, the chess rook is arguably the most vital chess piece on the chessboard after the queen, and they can move long distances to rattle rival chess pieces. Hence, the chess rook is considered a vital cog toward victory in a game. At the start of a chess game, players gain control over two rooks each.

What is a non-attacking rook?

For those who are new to chess, rooks are chess piece that move and attack horizontally and vertically. Hence, for rooks to be non-attacking to each other, they must not be placed on the same row or column of the board.

Is it a rook or a castle?

Each player starts the game with two rooks, one in each corner on their own side of the board. Formerly, the rook (from Persian رخ rokh/rukh, meaning "chariot") was alternatively called the tower, marquess, rector, and comes (count or earl). The term "castle" is considered to be informal, incorrect, or old-fashioned.

What is the rook polynomial of a 3 * 3 board?

There's a rook polynomial associated to each m×n rectangle, so for instance there is the rook polynomial of a 3×3 square, which is 6x3+18x2+9x+1.

What is the 4 queen problem in chess?

The 4-queens problem consists of a 4x4 chessboard with 4 queens. The goal is to place the 4 queens on the chessboard such that no two queens can attack each other. Each queen attacks anything in the same row, in the same column, or in the same diagonal.

Why are rooks more valuable than knights?

It is because a pawn generally moves along files (vertically) and so as a rook that can control vertical squares it can support a rook all the time unlike a bishop or knight. Being able to support a passed pawn so it can queen is obviously very valuable. rooks are far more powerful then two bishops or two knights.

What is the oldest rook?

The 1,300-year-old game piece resembles a rook, or castle. A small, rectangular stone (right), previously excavated at the Jordanian site of Humayma (shown at left), may be the oldest known chess piece, a rook dating to around 1,300 years ago.

What is the hardest endgame in chess puzzle?

King and Queen against King and Rook is one of the hardest to win. It takes around 40 moves to get the ideal position, which isn't far from the 50-move draw rule.

What is the fastest way to solve a chess puzzle?

How do you free the rook in chess?

The general rule is to develop pieces in ascending order of power and value: first 2 pawns to open diagonals for the bishops, then the knights, then the bishops, then castle to bring the king to safety and connect the rooks, last but not least fins a good square for the queen.

Can a rook jump over a king?

It cannot jump over other pieces. The rook captures on the same path it moves, by occupying the square on which an enemy piece stands. The rook can land on any square on the board, therefore it is one of the more powerful pieces on the board. The rook is also involved in a special move.

Why is bishop called bishop in chess?

The piece's deep groove symbolizes a bishop's (or abbot's) mitre. Some have written that the groove originated from the original form of the piece, an elephant with the groove representing the elephant's tusks. The English apparently chose to call the piece a bishop because the projections at the top resembled a mitre.

What is horse called in chess?

A knight is a piece in the game of chess that is traditionally shaped like a horse. Each player begins the chess game with two knights.

Can a Bishop take out a rook?

The Bishop c4 can capture Rook f7; this piece is immobile since it is pinned by the Bishop c4.

Can a pawn not take a rook?

The pawn may capture either the rook or the knight, but not the bishop, which blocks the pawn from moving directly forward.

Is a rook a cheat?

rook ¹. / (rʊk) / noun. a large Eurasian passerine bird, Corvus frugilegus, with a black plumage and a whitish base to its bill: family Corvidae (crows) slang a swindler or cheat, esp one who cheats at cards.

Why can't a rook take a queen?

Both queens are protected, so if both players capture a queen, then both players will lose the piece they captured with. You capture with a bishop and white captures with a rook... so you will win a rook for a bishop.

What is the motto of rook?

The Rook Motto. Motto Translation: Rooks will flourish while the sun shines.

Can you rook a queen?

Under US Chess Federation rules and in casual play, an upside-down rook may designate a queen. However, according to FIDE arbiter guidelines, such a move is treated as a legal promotion to a rook (not an illegal move, which would incur a time penalty).