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.
Pattern 1: Translation
Pattern 2: Glide reflection
Pattern 3: Two parallel reflections
Pattern 4: Two half turns
Pattern 5: A reflection and a half turn
Pattern 6: Horizontal reflection
Pattern 7: Three reflections