glide reflection

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English

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Noun

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glide reflection (countable and uncountable, plural glide reflections)

  1. (geometry) A transformation consisting of a reflection followed by a translation along the same line.
    • 1993, Saul Stahl, The Poincaré Half-plane: A Gateway to Modern Geometry, Jones & Bartlett Learning, →ISBN, page 136:
      Thus every function of the form eiaz + c is the composition of a translation with a reflection and so it is a glide reflection.
    • 1995 November 12, Rich Holmes, “Totalistic spaceships”, in comp.theory.cell-automata[1] (Usenet):
      That turns out to have one small spaceship, moving diagonally up and left at c/14 with period 14 (glide reflection at generation 7):
    • 2004, Dorothy Koster Washburn, Donald W. Crowe, Donald Warren Crowe, Symmetry Comes of Age: The Role of Pattern in Culture, University of Washington Press, →ISBN, page 6:
      Footprints along a line have glide reflection symmetry.

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