Can we have a rotational symmetry of order more than 1 whose angle of rotation is (i) 45 o (ii) 17 o ?

Question

Can we have a rotational symmetry of order more than 1 whose angle of rotation is (i) 45 o   (ii) 17 o ?

Philoid · Accepted Answer

i. If the angle of rotation is 45°, then it is possible to have rotational symmetry of order more than one since, 360° is completely divisible by 45°.

ii. If the angle of rotation is 17°, then it is not possible to have rotational symmetry of order more than one since, 360° is not completely divisible by 17°.

Can we have a rotational symmetry of order more than 1 whose angle of rotation is(i) 45o (ii) 17o ?

Can we have a rotational symmetry of order more than 1 whose angle of rotation is

(i) 45^o (ii) 17^o ?