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I'm 15 and I am trying to figure out this puzzle. Here it is:

Arrange three circles and three squares so that each circle may be connected to each square (Circle 1 to Sqaures A, B, C; Circle 2 to Squares A, B, C; and so on). However, note that the shapes may not be touching or overlapping, and the lines may not touch or intersect.

This is really boggling my friends and me. Please help!

2007-05-26 12:47:35 · 5 answers · asked by Anonymous in Science & Mathematics Mathematics

You have to draw lines from the circles to the squares. Every single circle must be connected to every single square. So if Circle 1 is connected to Square1, Circle two and Circle 3 must also be connected to Square 1, and that goes for all three squares.

2007-05-26 13:11:22 · update #1

SHAPES CANNOT OVERLAP.

2007-05-26 13:43:25 · update #2

5 answers

I think you have been given the classic "Three houses with three utilities" problem. This can not be done in two dimensions without some overlap somewhere. Utility companies know this, and use three dimensions to connect all the houses so you can have gas, water, and electric for each -- even if there are many more than three houses to connect.

2007-05-26 14:31:43 · answer #1 · answered by Don E Knows 6 · 0 0

Draw a right triangle with sides 3,4,5 units.
Erect squares on each side.
Now find the center of each square (where diagonals intersect).
Draw a circle from the center of each square that circumbscribes the square.

You will then have the three circles each of which is connected to each of the three squares.

Each circle touches the square it circumscribes in 4 places and the other two square at a corner.

2007-05-26 13:34:10 · answer #2 · answered by ironduke8159 7 · 0 0

Place the squares in a "T" shape and have one circle "inscribed," one "circumscribed," and one passing between the other 2.

2007-05-26 12:55:03 · answer #3 · answered by richardwptljc 6 · 0 1

wait, so how can they be connected and yet not touching or overlapping?

2007-05-26 12:50:48 · answer #4 · answered by Bob R. 6 · 0 0

Please clarify what you meen by connected, if they can't touch or overlap, what else can you do with it?

Please add more details and I'll see what I can do.

2007-05-26 12:51:50 · answer #5 · answered by Jordan 3 · 0 0

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