I was reading something last night and this unusual thought came to my mind. It goes like this: Assuming only 'straight' lines form a triangle. By basic theorem of inequality of sides a love triangle is not possible ! :) As per theorem combined love between any two pairs should be greater than the third pair but given three straight members... it leads to a Contradiction ! The general form will be like this: To form a convex love polygon the members with interconnected relationships should be even. Note that this holds only in case of convex polygons which are formed only using straight lines ;) |

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