The given expression r1 r2 f1 r3 f2 f3 r3 represents a Reflection.
Given, r1, r2, and r3 represent rotations from dn and f1, f2, and f3 represent reflections from dn.
we have to determine that whether r1 r2 f1 r3 f2 f3 r3 is a rotation or a reflection.
So, on solving the expression, we get
r1 r2 give 2 rotations.
then, f1 give 1 reflection
after that r3 give again one rotation
then, f2 f3 give 2 reflections
and at last r3 give one rotation.
as, a result we got a reflection.
So, the given expression r1 r2 f1 r3 f2 f3 r3 represents a Reflection.
Hence, the given expression r1 r2 f1 r3 f2 f3 r3 represents a Reflection.
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