Easy math puzzles
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51 members have voted
How can you enclose all nine circles with two additional squares?
Quote: Wizard
Move one coin to create two lines of four coins each.
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I assume the answer is, put the blue coin on top of the red one, but then the four coins in each row are, strictly speaking, not in a "line."
Quote: Wizard
Draw three paths, connecting A to A, B to B, and C to C. The paths may not cross nor go outside the box.
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I've always seen this done differently. The three squares on the bottom represent electricity, water and gas. You need to hook up all utilities by connecting each house to all three, without crossing any lines.
Quote: billryanI've always seen this done differently. The three squares on the bottom represent electricity, water and gas. You need to hook up all utilities by connecting each house to all three, without crossing any lines.
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That's a different problem, with the added condition that no line could go through another house or utility
Quote: ThatDonGuyQuote: billryanI've always seen this done differently. The three squares on the bottom represent electricity, water and gas. You need to hook up all utilities by connecting each house to all three, without crossing any lines.
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That's a different problem, with the added condition that no line could go through another house or utilityIt was proven centuries ago that this is impossible, regardless of where the three houses and three utilities are located.
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A sage Pack leader once offered $100( in 1967 dollars) reward for the solution to a bus full of Cub Scouts at the start of a three-hour bus ride. It's a great babysitting tool.
I actually saw a twist on this where they substituted telephone for gas, which makes it possible.
Quote: ThatDonGuy
It depends on how you define "line."
I assume the answer is, put the blue coin on top of the red one, but then the four coins in each row are, strictly speaking, not in a "line."
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I agree!
Draw two squares to enclose all nine circles. You may count the existing square as well.
Each box is numbered 1-16.
Place the numbers so that each column, horizontal, vertical, and diagonal, adds up to 34.
This is considered the most powerful of the magic squares, and solving it will protect you from the plague.
For a smaller blessing, divide the square into 9 parts and place the numbers so each adds up to 15.
Jewish people revere this square as it represents the name of God.
Quote: billryanA square is divided into 16 boxes.
Each box is numbered 1-16.
Place the numbers so that each column, horizontal, vertical, and diagonal, adds up to 34.
This is considered the most powerful of the magic squares, and solving it will protect you from the plague.
For a smaller blessing, divide the square into 9 parts and place the numbers so each adds up to 15.
Jewish people revere this square as it represents the name of God.
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How about a mega-blessing?
Here is how you can create a magic square of any odd size:
Put the number 1 in the center column of the top square.
For each number, the next number's square is the one diagonally to the upper right.
If you are already at the top row, put it on the bottom row of the next column to the right.
If you are already at the right column, put it on the left column of the next row up.
If you are in the upper right corner, or the square up and to the right is occupied, put the next number directly below the current one.
There was once an official Guinness World Record for the largest magic square, and I think it was "only" 125 x 125.
Quote: Wizard
Draw two squares to enclose all nine circles. You may count the existing square as well.
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I am not entirely sure it is possible "as drawn."
I assume the intended answer is, the vertices of the first drawn square are on the large square - either the midpoints of each side, or moved slightly clockwise around the square - then the vertices of the second drawn square are the midpoints of the first drawn square.
However, given the shape of the square and the size and location of the nine circles, I am not entirely sure it can be done here. Every time I try, I intersect one of the circles.
Quote: Wizard
How can you enclose all nine circles with two additional squares?
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Being the circles look they already are enclosed by a square, I made an assumption that it means drawing two squares that isolate each circle from the others.
