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An isosceles triangle, isosceles trapezium.

More generally, any polygon where the side to the left of the bottom is the same as the side to the right of the bottom, and the next pair of sides are the same as one another (but different from the first pair), and so on. So that is an infinite number added to the "only one".

A truncated parabola.

An ellipse.

and there are loads more.

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