A square must have all four angles equal (at 90o) whereas in a diamond only the opposite angles are equal.
A square is a diamond with all four angles right angles.
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The way I learnt was to imagine the shape stood flat upright on a table. A square sits upright on the table and everything is normal. But if someone sits on it and squashes it it bends over to the side a bit, and that gives us a diamond - a square that somebody's sat on. The technical difference is that all the angles in a square are equal (which is why it stands upright) while the angles in a diamond are different (because it's been sat on).
There isn't a significant difference, just which ever you prefer.
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A diamond is not technically a mathematical shape whereas a rhombus is. Other than that i don't know of any other difference.
The main difference is that a square is a geometric shape whereas a rhumbus is a word with no meaning.The main difference between a square and a rhombus is that all the angles of a square are equal. In a rhombus, there are two pairs of equal opposite angles.