Discovering Frieze Patterns with Kali

The Pattern Gallery

Each of the following patterns was created using one of the frieze groups in Kali. For each pattern, indicate which symmetry groups it satisfies. In other words, figure out for which frieze groups the pattern could be drawn.

• X's

  
  
   Hop           Spinhop       Jump          Sidle       
   Step          Spinjump      Spinsidle
  
  
  
  

• Triangle Patterns

  
  
   Hop           Spinhop       Jump          Sidle       
   Step          Spinjump      Spinsidle