glide reflection
noun1
Geometry, Mathematics, Sciences A transformation consisting of a reflection followed by a translation along the same line.
- 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):
1 more example
- 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:
- Synonyms
- transflection
- Related terms
- glider