In the case of "'glide reflection symmetry "', the symmetry group of an object contains a glide reflection, and hence the group generated by it.
22.
In the case of "'glide reflection symmetry "', the symmetry group of an object contains a glide reflection, and hence the group generated by it.
23.
If the translation vector of a glide reflection is itself an element of the translation group, then the corresponding glide reflection symmetry reduces to a combination of reflection symmetry and translational symmetry.
24.
If the translation vector of a glide reflection is itself an element of the translation group, then the corresponding glide reflection symmetry reduces to a combination of reflection symmetry and translational symmetry.
25.
In the geometry of the Euclidean plane, a translation is an example of a continuous map of the plane to itself that leaves no point fixed; so is a glide reflection.
26.
Combining two equal glide reflections gives a pure translation with a translation vector that is twice that of the glide reflection, so the even powers of the glide reflection form a translation group.
27.
Combining two equal glide reflections gives a pure translation with a translation vector that is twice that of the glide reflection, so the even powers of the glide reflection form a translation group.
28.
Combining two equal glide reflections gives a pure translation with a translation vector that is twice that of the glide reflection, so the even powers of the glide reflection form a translation group.
29.
Escher used irregular polygons when tiling the plane and often used reflections, glide reflections, and impossible staircase " created by the medical scientist Lionel Penrose and his son the mathematician Roger Penrose.
30.
In this example, the top border pattern utilizes glide reflection of a unit formed by three stylized curly leaves, whereas in the side borders, the unit of repeat has five stylized leaves.
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