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)
“There are three principal means of acquiring knowledge available to us: observation of nature, reflection, and experimentation. Observation collects facts; reflection combines them; experimentation verifies the result of that combination. Our observation of nature must be diligent, our reflection profound, and our experiments exact. We rarely see these three means combined; and for this reason, creative geniuses are not common.”
—Denis Diderot (1713–1784)