yes it can. a diamond is basically a square. if you stretch two paralell lines opposite each other on a square one way, you would get a diamond. if you don't get that, just rotate the square a little bit and voila! a parralell diamond!
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Assuming it's a regular shape. You could 'slice' it into three, keeping parallel to any one of its sides.
NO. A diamond does not have parallel lines. All the lines would eventually connect.
No, a diamond is not normally cut into a square shape.
A 25-sided shape would have no parallel sides !
A trapezium, or diamond shape. Imagine you have a rectangle, and you push the top left corner to the right a little.