A frieze is a pattern which repeats in one direction. Friezes are often seen as ornaments in architecture. A mathematical analysis reveals that there are seven different frieze patterns possible.
The only transformation in this pattern is a translation.
The transformation in this pattern is a glide reflection. All frieze patterns also map onto themslves under a translation.
The transformations in this pattern are two parallel reflections across vertical mirrors..
The transformations in this pattern are two half turns.
The transformations in this pattern are a reflection across a vertical mirror and a half turn.
The transformations in this pattern are a translation and a reflection across a horizontal mirror.
The transformations in this pattern are three reflections, one across a horizontal mirror and the other two across parallel vertical mirrors.
[Transformations] [Plane Symmetry] [Geometry] [Resources]
Maintained by David A. Reid
Email: david.reid@acadiau.ca
Last modified April 4, 2003
http://socrates.acadiau.ca/courses/educ/reid/Geometry/Symmetry/frieze.html
