A glide reflection is a type of isometry of the Euclidean plane: the combination of a reflection in a line and a translation along that line. Reversing the order of combining gives the same result. Depending on context, we may consider a simple reflection (without translation) as a special case where the translation vector is the zero vector.
Read more about this topic: Transformation (function)
Famous quotes containing the words glide and/or reflection:
“All things change, nothing is extinguished.... There is nothing in the whole world which is permanent. Everything flows onward; all things are brought into being with a changing nature; the ages themselves glide by in constant movement.”
—Ovid (Publius Ovidius Naso)
“Fanny was not there! How she would have enjoyed the scene.... I could not but think of her, and in spite of my efforts to prevent, the unbidden tear would flow. Alas! I cannot feel the satisfaction some appear to do in the reflection that her eyes beheld the scene from the other world.”
—Rutherford Birchard Hayes (1822–1893)