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In mathematical terms, once you know the length of one side of a square, you can deduce everything else about it, such as its perimeter or its area. All squares are exactly the same shape, they all have four sides of equal length, and four right angles internally. Mathematicians do not count the properties of a square, that is not such a well defined concept. You could stay that the corners of a square are pointy, so pointiness is a property. You could say that the square is a boring shape, or a useful shape, or lots of other things which could be taken as properties of a square.

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Q: How many properties does a square have?
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