glide reflection

English

Noun

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 e^iaz + 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.

Synonyms

• transflection

Related terms

• glider