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A regular hexagonal room has 6 rotational symmetries (rotational symmetry of order six) and 4 reflection symmetries.(a) False(b) TrueThe question was asked by my school teacher while I was bunking the class.Origin of the question is Circular, Semicircular, Hexagonal & Half Hexagonal Rooms topic in section Methods of Building Estimate & Estimate of Building of Civil Engineering Drawing

Answer» Right option is (a) False

Easy explanation: A regular hexagonal room has 6 rotational symmetries (rotational symmetry of order six) and 6 reflection symmetries (six lines of symmetry), making up the dihedral group D6. The longest diagonals of a regular hexagon, connecting diametrically opposite vertices, are twice the length of one side.


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