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 the axis and then inverting that rotated point through _______ ______ __________ ___ __________.
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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 the axis and then inverting that rotated point through _______ ______ __________ ___ __________.
__________ ________ ____ ____ _______ ___ _____ ________ _________ ______ ______.
_____ ______ ______ _______ ____ ________ ______.
____ ________ ____ ____ ___ __________ ______ _________ ______ ________ __________ ______.
_______ ____ ____ _____ ________ ________ ____.
______ __________ ____ _____ ____ ___ ____ _______ ____ __________.
__________ _________ __________ ________ _______ _____ _____ _______ _________ _____ ________ ________.
_________ ____ _____ __________ __________.
______ _________ ____ ___ ______ ___ __________ ________ __________.
_________ _____ ___ _____ ___ _______ _________.
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___ _______ _________ _______ _________ _______ __________.
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__________ ________.
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