Rotations Are Not Single Round Here
Age 14 to 16
Challenge Level
The Frieze Symmetries are an important mathematical idea.
The question is about an infinite sequence of translations mapping
onto itself by :
Reflection, V (vertical mirror line)
or Reflection, H (horizontal mirror line)
or Rotation, R
or by a combination of H with a half unit shift left or right (G,
glide reflection) .
This is an excellent opportunity for children to categorize : R or
not R, V or not V, etc.
There are in fact only 7 categories, and there's plenty to explore
and discuss as the combination options are investigated.