Frieze Groups

Crosswise Symmetry

Looking at patterns in different frieze groups, figure out which type(s) of crosswise symmetry each frieze group has.

Guide lines across the center of the band are only drawn for the first two groups. It may help you understand the symmetries to think about or actually draw guide lines for the other cases.

     Jump      

      reflection    glide reflection    halfturn    none


     Spinhop   

      reflection    glide reflection    halfturn    none


     Hop       

      reflection    glide reflection    halfturn    none



     Sidle     

      reflection    glide reflection    halfturn    none



     Step      

      reflection    glide reflection    halfturn    none



     Spinjump  

      reflection    glide reflection    halfturn    none



     Spinsidle 
      reflection    glide reflection    halfturn    none