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A parallelogram and a trapezoid are a couple of examples.
A perfect square number is a number, whose square root is an integer. Examples are 1, 4, 9, 16, 25, .... The square roots of these numbers are {1,2,3,4,5,...} and {-1,-2,-3,-4,-5,...}
Square numbers have odd numbers of factors. Examples: 4, 9, 16
Every irrational number fits this category. Examples are pi, e, square root of 3, sine of 1.
It doesn't have an end and doesn't repeat. A few examples are pi and the square root of 7.