One-dimensional symmetry group
id:
one-dimensional-symmetry-group-297-17095314
title:
One-dimensional symmetry group
text:
A one-dimensional symmetry group is a mathematical group that describes symmetries in one dimension (1D). A pattern in 1D can be represented as a function f(x) for, say, the color at position x. The only nontrivial point group in 1D is a simple reflection. It can be represented by the simplest Coxeter group, A1,, or Coxeter-Dynkin diagram. Affine symmetry groups represent translation. Isometries which leave the function unchanged are translations x + a with a such that f(x + a) = f(x) and reflec
brand slug:
wiki
category slug:
encyclopedia
description:
Symmetry group in 1D systems
original url:
https://en.wikipedia.org/wiki/One-dimensional_symmetry_group
date created:
date modified:
2022-02-11T07:39:39Z
main entity:
{"identifier":"Q7092304","url":"https://www.wikidata.org/entity/Q7092304"}
image:
fields total:
13
integrity:
14