It is a rhombus.
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A diamond or a quadrilateral.
square, rectangle and all that jazz
A quadrilateral. There are numerous quadrelaterals including a square, a rectangle, a diamond etc
A quadrilateral with four equal-length sides and opposite angles equal (but not all four) is a rhombus. That's the usual description of a diamond shape.
a quadrilateral sideways, a pentagon looks like a crown.