Question

Describe, in general, the steps for producing a frieze pattern.

Answer 1

An infinite strip with a symmetric pattern is called a frieze pattern.

There are only seven possible frieze pattern.

1. Translation symmetry only.

2. Glide reflection plus translation symmetry.

3. Reflection over a horizontal line plus translation.

4. Reflection over a vertical line plus translation.

5. Rotation (a half-turn about a point on the mid line of the strip) plus translation.

6. Reflection over a vertical line plus a reflection over a horizontal line plus translation.

7. Reflection over a vertical line plus glide reflection plus translation.