Can we have a rotational symmetry of order more than 1 whose angle of - Ex 12.3

part 2 - Ex 12.3, 7 - Ex 12.3 - Serial order wise - Chapter 12 Class 7 Symmetry

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Ex 12.3, 7 Can we have a rotational symmetry of order more than 1 whose angle of rotation is (i) 45°? Order of rotational symmetry = (360°)/(𝐴𝑛𝑔𝑙𝑒 𝑜𝑓 𝑠𝑦𝑚𝑚𝑒𝑡𝑟𝑦) = (360°)/(45°) = (72°)/9 Since, order of rotational symmetry is an integer Hence it is possible Ex 12.3, 7 Can we have a rotational symmetry of order more than 1 whose angle of rotation is (ii) 17°?Order of rotational symmetry = (360°)/(𝐴𝑛𝑔𝑙𝑒 𝑜𝑓 𝑟𝑜𝑡𝑎𝑡𝑖𝑜𝑛𝑠) = (360°)/(17°) = 21 (3°)/17 Since, order of rotational symmetry is in fraction This is not possible

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