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## Main Question or Discussion Point

OK, so I understand mathematically why one can't square a circle, but when I do the following thought experiment I can't see how one could

- I tie a string at both ends and lay it on a table so that it forms a perfect circle.

- Now I place four pins, at equal distances from each other, so that the center of the square they form is also at the center of the circle formed by the string.

- Now I start moving the pins apart in small increments, but in equal increments, so that they remain at equal distances.

- Eventually all four pins will be touching the string (circle), and as I keep moving them apart, they will begin to distort the shape of the string.

- Finally they will reach a limit, at this point, they will have distorted the string into a square, which should have the exact same area as that of the initial circle.

I don't know if it makes sense written down so here I drew it: http://38.114.207.18/980826fdf52d0d9c4e1f36c9428704cc4g.jpg"

I assume then that what they mean is that, though it is impossible to mathematically determine the exact distance by which those pins are separated, it is not

__not__square the circle:- I tie a string at both ends and lay it on a table so that it forms a perfect circle.

- Now I place four pins, at equal distances from each other, so that the center of the square they form is also at the center of the circle formed by the string.

- Now I start moving the pins apart in small increments, but in equal increments, so that they remain at equal distances.

- Eventually all four pins will be touching the string (circle), and as I keep moving them apart, they will begin to distort the shape of the string.

- Finally they will reach a limit, at this point, they will have distorted the string into a square, which should have the exact same area as that of the initial circle.

I don't know if it makes sense written down so here I drew it: http://38.114.207.18/980826fdf52d0d9c4e1f36c9428704cc4g.jpg"

I assume then that what they mean is that, though it is impossible to mathematically determine the exact distance by which those pins are separated, it is not

*physically impossible*to square a circle, right? or am I missing something.
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