Leaving a file closed can cause your rooks to remain passive and they wont co-ordinate well. With an open file, the rook can move up and down the board freely and attack weak enemy pawns that are backward and isolated. An open file is not only controlled by a single Rook. It can also be controlled by two Rooks and even a Queen. The two Rooks and a Queen on the open file create what is known as an Alekhine gun.
Squares running from left to right are called ranks. You have the back ranks, the seventh ranks a. Similarly to files, the Rooks need access to ranks especially the seventh ranks where the enemy pawns are a target. If you can get both your Rooks on to that seventh rank, you will gain a lot of power. They will work together and gobble up any other piece in their path.
Its seventh heaven and the two rooks have complete dominance over the 7 th rank. The two rooks are able to zoom up and down the seventh rank and chop off all the pawns.
All in all Rooks on the 7 th rank give you much greater chances to win. Squares running diagonally are called diagonals. There are 26 diagonals in total. The longest diagonals are A1-H8 and A8-H1. The bishops usually move along the diagonals of the chess board up and down.
If you can get two bishops on their open diagonals in harmony with one another, then you may have a great advantage over your opponent. The two Bishops on their longest diagonals can slice the board and eliminate any piece that comes in their way. Bishops on long diagonals are a great way to pin enemy pieces and create tension.
Every 64 square on a chess board has a unique identifier and each piece has its own outline shape, which you see used in chess quizzes on computers and in newspapers. The squares are identified by a number and letter of the alphabet. Letters run across the chess board horizontally. These are a, b, c, d, e, f, g, h, while numbers run up the chess board and are numbered 1, 2, 3, 4, 5, 6, 7, 8. If you think of one, drop me a note , and I'll update this page and give you credit!
Image: Isabel encourages peace for all history students Credit: Rachel. How about the number of rectangles on a chess board? Well, to make a rectangle you need to pick any two of the vertical lines, and any two of the horizontal lines. Here's a table of the the first few square grids, and the number of squares and rectangles:.
All of this started because I came across an old puzzle attributed to Erich Friedman , created, would you believe, in There's an answer on the internet, but I could not agree with it, so I wrote a bit of code to generate all the answers. Interestingly, the quantities of the squares are square numbers which decrease as the size of the square increases - this makes sense as the larger the square, the less likely there is going to be sufficient space in a given area for it to fit.
It also makes sense that the quantities are square numbers as the shapes we are finding are squares - therefore, it is logical that their quantities vary in squares. The answer is squares. This is because you have to calculate how many 1 x 1 squares, 2 x 2 square, 3 x 3 squares and so on that are on the chessboard.
These numbers end up being the square numbers: 64, 49, 36, 25, 16, 9, 4, 1. These added together equals For a larger chessboard such as a 10 x 10 board your answer would be because you add all the square numbers from 1 - I get squares because you know where the top corners of each square are to fit the size eg. So using this you can work out that there is 64 1x1s, 49 2x2s, 36 3x3s ect.
You can see the pattern of square numbers appearing and then you can add them all up to get a final total of We found that there were squares altogether on the chessboard. This is how we did it. First of all we counted how many 8x8 squares there were which wasn't very hard as there was one.
Next, we conted how many 7x7 squares there were; which there were 4, one in every corner. We did this until we finished counting the 1x1 squares. We also found out that the nxn was a square number as how many squares of that size fitted into the chessboard there were. Thank you for reading this comment. I started with the 10x10 chessboard as suggested but I think it'd be easier to start with 2x2 and then 3x3, getting bigger.
This will help find the general rule. So, for 2x2 chessboard:. Now go on to a 3x3 chessboard. Express each answer in relation to the size of the original chessboard.
That sounds like a great strategy. I wonder if anyone can develop it into a rule for working out the number of squares on ANY size chessboard?
Let's start by using this strategy and listing out how many squares there are in 1x1, 2x2 etc:. From this, we can see that we are adding on square numbers, 4 and then 9. But how to explain this? Well, imagine a 4x4 square. Since it is a chessboard, the measure of how many you can fit onto each row and column needs to be squared to see exactly how many you can fit in total.
Since we are squaring this, the result will always be square, hence the reason why square numbers are being added on. Well, it can be explained by the increasing size of the square itself.
For example, take a look at a 3x3 vs a 4x I therefore have proved that as the size of the square increases, the square numbers added on increase. The sequence of number of squares therefore follows the pattern: 1,5,14,30,55,91,,, We can see that the 8th number in the sequence is , so is how many squares an 8x8 will have.
But a general rule?
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