Is it possible for a wallpaper pattern to have a translation and glide reflection isometries but no reflection isometry?

Name: Is it possible for a wallpaper pattern to have a translation and glide reflection isometries but no reflection isometry?
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Question

Quizplus · Accepted Answer

Yes, it is possible for a wallpaper pattern to have a translation and glide reflection isometries but no reflection isometry. An example of such a pattern is the Wallpaper Group pg, which has only glide reflection and translation isometries.

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