Question
Explain with diagram, how many identical points are created by a 3 roto-inversion operation. Among 3-fold rotation and 3 roto-inversion operation, which one has higher order? Why?
Answer :
Word Count : 251
A 3 roto-inversion (S3) combines a 120° rotation about an axis with inversion through a center. Consider a point P at some distance from the axis. Applying S3 maps P to a new point obtained by rotating P by +120° around ______ ________ ____ ______ ____ ___ ________ _______ _________ ________.
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A 3 roto-inversion (S3) combines a 120° rotation about an axis with inversion through a center. Consider a point P at some distance from the axis. Applying S3 maps P to a new point obtained by rotating P by +120° around ______ ________ ____ ______ ____ ___ ________ _______ _________ ________.
__________ __________ _____ _____ ___ ______ ______ ____.
________ _____ ______ _________ ______ _________ _______ _______ ___ ___ ______.
____ _________ _________ _____ ______ ____ __________ _____ _______ _______ __________.
___ _______ ________ ________ _______ ___ _____ _______ ______ ___ ____ ______.
_______ ____ _______ ____ __________.
____ ___ ________ ______ ____ ____ ____ ________ _______ ________ ________.
______ ___ ___ ______ ________ ________ __________ ______ _____.
_______ _________ _____ ____ __________.
________ __________ ________ __________ __________ _______ _______ _____.
________ _______ _______ _______ _______ __________ ______ _______ _____ _________ ____ _________.
______ ______ _____ ________ __________ ______ _____ ______ ______ __________.
______ _______ ___ ________ ____ _________ _________ __________ ________ _____ ____ ___.
________ __________ _______ ____ _____ __________ ___ ____ __________ ___ _____ ____.
_____ _________ __________ ____ ___ ____ ________ _________ __________ ____.
________ ____ __________ _______ ________ ____ _________ ________ ___ ____ ________.
___ ____ ___ ____ _____ ___ _________.
_______ ____ _________ _______ ___ __________ ___ ______ _______.
_________ __________ ____ __________ _________ ___ ____ ___ ______ __________ __________.
_____ ______ _____ ____ __________ _________ ______ _________ _________ __________.
__________ ______ _____ ___ _______ ___ ___ ______ ____.
_____ ___ _________ ___ ______ ________ _________.
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