Give the cycle structure representation for a 135 degree rot

Give the cycle structure representation for a 135 degree rotation of the corners of an 8-gon.

Solution

Here we have that 135 = 180- 45 degree.

So clearly 135 degree is actually angle of 45 degree that is in the top left quadrant which is the angle between the base of an 8- gon and its first side.

Thus using above concept, we caN draw a cycle structure, following the same rule for each its vertex to form its 8 corners.

Answer