There is no particular name for such a shape.
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I don't think that's possible. If you make three equal sides, the fourth ("unequal") side will AUTOMATICALLY be parallel to the opposite side.
It is not possible to have a quadrilateral with four parallel sides - this would bea series of four parallel lines that do not intersect.A quadrilateral with four sides of equal length is a rhombus, however.And a quadrilateral with 2 pairs of parallel sides is a parallelogram.
A kite has two pairs of equal sides with no parallel sides.
A quadrilateral has 4 sides, 2 in which never intersect. Therefore, the lines that don't intersect are called parallel. There are 4 parallel sides but has 2 pairs of parallel sides.
isoisole trapzoid
a square