glide reflection

plural glide reflections

1. countableuncountablegeometryA transformation consisting of a reflection followed by a translation along the same line.

   Footprints along a line have glide reflection symmetry.

   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

   2 more examples

   Thus every function of the form eⁱᵃz + c is the composition of a translation with a reflection and so it is a glide reflection.

   1993, Saul Stahl, The Poincaré Half-plane: A Gateway to Modern Geometry, Jones & Bartlett Learning, →ISBN, page 136

   That turns out to have one small spaceship, moving diagonally up and left at c/14 with period 14 (glide reflection at generation 7):

   1995 November 12, Rich Holmes, “Totalistic spaceships”, in comp.theory.cell-automata (Usenet)

   Synonyms: transflection