Last edited by yellow4321; Mar 6th 2008 at 05:10 AM.
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Originally Posted by yellow4321 this question has been bugging me:
how could i define a map f:Complex--->Complex (complex plane)
that is a glide reflection
i have ideas but struggling to put show as a map? Hint: What is a glide reflection? It is a composition of a rotation and a reflection.
Originally Posted by yellow4321 where r= reflection and t=translation
(t o r) perhaps but when i have it for the complex plane would i say r=reflection in some line x=3 perhaps, and translation by i or something? Note the function is the reflection of a complex number through the x-axis. And is a translation of a number by 1 unit to the right. Hence is a glide reflection.
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