glide reflection
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English
Noun
glide reflection (countable and uncountable, plural glide reflections)
- (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 (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.