Category
page 1Coxeter groups
Coxeter group
abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors)
Coxeter–Dynkin diagram
pictoral representation of symmetry
triangle group
Group realized geometrically by reflections across the sides of a triangle
Coxeter element
concept in geometry
reflection group
discrete group which is generated by a set of reflections of some space

affine symmetric group
a mathematical structure that describes the symmetries of the number line and the regular triangular tesselation of the plane, as well as related higher dimensional objects