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What has 0 face 0 edges 0 vertices?
a point, or a blank sheet of paper
You are 3 dimensional with 2 edges 0 vertices and 3 faces?
No. I'm a piece of paper.
Which one is right --- unsmooth or non-smooth?
Both might be ok, informally, with different meaning. Unsmooth would be a verb, meaning to roughen, as a surface: I unsmoothed it with scratchy, rough sand-paper. Non-smooth would be an adjective: Stand on the non-smooth part for better traction. But it is better to use roughen for the verb and rough for the adjective.
Is a dollar bill truly shaped like a rectangular prism?
No, a rectangular prism is a 3D object with rectangular sides and a shape with 3 or more edges on both ends. A dollar bill (or any other similar piece of paper) is a 2D rectangle.
Why is paper squared?
Squares are easier to fold, but all origami are not squares. Some are rectangles, and even circles. The person that created this, probably thought squares were better too.
