squares
...ang.perl.misc, posted by a guy who had written a perl program to generate all the different possible quilt squares, eliminating equivilant squares. Obviously, there was a bug somewhere in his...
Fill in the remaining letters in the following word squares so that each row forms a word and each column forms a word. More than one answer may be possible.
1.
P _ _ _ _ G _ _ _ _ U _ _ _ _ N...
A Latin square is an n x n array containing the numbers 1 to n exactly once in each row and exactly once in each column.
For example, L is a Latin square:
123 231 312
L
A critical set ...
...POILERS
No solution is possible with rational numbers. What we would need is an arithmetic sequence of squares differing by 100.
Let’s look at rational square sequences. I believe that they ...
...ble colour or some other means, e.g. ridges etc. It is not a chess board. It can have any composite number squares (or fields), including square numbers. For example, my sample puzzle has 5 by 4 that ...
[ I assume that only vertically or horizontally adjacent squares are
...be struck at 1/8th the frequency that the entire chessboard is. Since there are 32 such small targets (the squares of a single color) the frequency with which they will be struck is (1/8)*32 = 4 times...
... N-dimensional single-square board satisfy the conditions. Don't complicate things with those other 8 squares!...
...e both checks can be discovered. They can't both be delivered by rooks, though, since the two vacated squares are horizontally adjacent....
...utions I see to put me out of my misery.
I was taught that the variance was the arithmetic mean of the squares of the distance of each sample from the mean. i.e. the sum of the squares of the dist...
...it.
For cross sums, realize that each combination of numbers can occur in only a few ways: 23 in three squares must be 9 8 6, in some order; 36 in seven squares must have all nine digits except fo...
2 clarifications:
Each player's line can begin and finish on any two squares. An advanced variation: Players start and stop on the same square, forming a loop with each line.
There is no ...
...ssing through its centre and orthogonal to the four cuts already made. This exposes two surfaces which are squares S. Assume one part is hollow and the other is solid. Take the hollow part, put the fo...
SPOILER below:
SPOILER:
101, 111, 121, 202, 212 and 307 are numbers whose squares are five-digit palindromes. The missing one is 264: 264^2 = 69696. (BTW, there's one more three-digit num...
...ll
lllllll
__ __ __
arranged like that but all connected
move 1 math to make 4 squares...
... should replace the question mark? ? I Q
14 T E
0 S T
a 12 b 10 c 17 d 9 e 13 f 5
12. Five squares follow a specific pattern.
a
o
b
o I
c I...
... there are plenty of ways of unraveling the position. Or white's king could have come from one of the squares surrounding c7, capturing a black piece there. Or white's knight could have move...
... are overlapping) and form the complete silhouette of a square. If you wished, you could make two separate squares, each square using two opposite quadrants of the circle. This raises some questions: ...
Yes, the probabilities given assume that each player chooses from the available squares at random (with equal probabilities). The enumeration of possible games is just that: a tallying of all possible...
...uzzles have been published by Nikoli. Slitherlink is played on a rectangular lattice of dots. Some of the squares formed by the dots have numbers inside them. The objective is to connect horizontally...
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