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There is essentially only one sub-category and that is a square.

All rhombi have four straight sides of equal length, in two parallel pairs, all have two pairs of equal angles. In a square all four are equal, other wise two are acute and two obtuse. Apart from the exact measurements, any statement about a rhombus which is not a square is applicable to all.

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Q: How many ways can you classify a rhombus?
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