Isometries As Reflection Group
Reflections, or mirror isometries, can be combined to produce any isometry. Thus isometries are an example of a reflection group.
Read more about this topic: Euclidean Plane Isometry
Famous quotes containing the words reflection and/or group:
“The reflection of her here, and then there,
Is another shadow, another evasion,
Another denial. If she is everywhere,
She is nowhere, to him.
But this she has made.”
—Wallace Stevens (1879–1955)
“Just as a person who is always asserting that he is too good-natured is the very one from whom to expect, on some occasion, the coldest and most unconcerned cruelty, so when any group sees itself as the bearer of civilization this very belief will betray it into behaving barbarously at the first opportunity.”
—Simone Weil (1910–1943)