Transformation (function) - Glide Reflection

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.


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Famous quotes containing the words glide and/or reflection:

    We perceive no charms that are not sharpened, puffed out, and inflated by artifice. Those which glide along naturally and simply easily escape a sight so gross as ours.
    Michel de Montaigne (1533–1592)

    What chiefly distinguishes the daily press of the United States from the press of all other countries is not its lack of truthfulness or even its lack of dignity and honor, for these deficiencies are common to the newspapers everywhere, but its incurable fear of ideas, its constant effort to evade the discussion of fundamentals by translating all issues into a few elemental fears, its incessant reduction of all reflection to mere emotion. It is, in the true sense, never well-informed.
    —H.L. (Henry Lewis)