Can we have a rotational symmetry of order more than 1 whose angle of rotation is (i) `45^@` (ii) `17^@`
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To determine if we can have a rotational symmetry of order more than 1 for the given angles of rotation (i) 45° and (ii) 17°, we will follow these steps:
### Step 1: Understand the concept of rotational symmetry
Rotational symmetry of an object means that the object can be rotated around a central point and still look the same at certain angles. The order of rotational symmetry is the number of times the object looks the same during a full rotation of 360°.
### Step 2: Identify the condition for rotational symmetry of order more than 1
For an object to have a rotational symmetry of order more than 1, the angle of rotation must be a factor of 360°. This means that when you divide 360° by the angle of rotation, the result should be a whole number greater than 1.
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