Generally a four sided object is called quadrilateral. Some examples of four sided objects are square, rectangle, parallelogram, rhombus, trapezium, etc.
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There are infinitely many such shapes.
Faces are sides of 3-dimensional objects. If these faces are four bounded by four straight lines then they are quadrilateral faces.
Some types of quadrilaterals don't have parallel sides. Such as a diamond or a kite.
Simpy, some do and some don't. Quadrilaterals are any four sided figure. A square has all four sides equal, while a rectangle and a trapazoid have 2 sets of equal sides.
Some shapes having four equal sides include rhombus, square, diamond, parallelogram with four equal sides, and oblique-angled equilateral parallelogram.