# Wallpaper Symmetry Exploration

From EscherMath

**Objective:**
Learn to recognize the lattice in a wallpaper pattern. Learn to use the flow chart to identify wallpaper symmetry groups.

## Materials

- Printed copy of the images from this exploration.

- Copy of the flowchart

## Exploration

### Lattice

1. Mark the lattice of translations on this geometric pattern:

### Symmetries

2. For the following geometric wallpaper patterns

- Mark all centers of rotation symmetry. Clearly indicate the order of rotation.
- Identify and mark mirror lines and glide reflections.

A. | B. |

C. | D. |

E. | F. |

### Symmetry Groups

3. Identify the symmetry group of each figure in the previous part.

**Handin:**
This page with the geometric patterns marked, and all symmetry groups identified.

Instructor:Wallpaper Symmetry Solutions (Instructors only)