Frieze Patterns
The Seven Frieze Patterns
Frieze patterns are infinite patterns that repeat in one direction along a straight line (Translation).
There are exactly 7 possible symmetry groups for these patterns.
To evaluate these patterns, we observe the four types of isometric transformations:
- translation (sliding),
- reflection (mirroring across a horizontal or vertical line),
- rotation (usually 180 degrees), and
- glide reflection (sliding and then reflecting)
1. What 'move' would a person make to create these footprints?
2. What 'move' would a person make to create these footprints?
3. What 'move' would a person make to create these footprints?
4. What 'move' would a person make to create these footprints?
5. What 'move' would a person make to create these footprints?
6. What 'move' would a person make to create these footprints?
7. What 'move' would a person make to create these footprints?
These patterns can be categorised using the standard notation called the International Union of Crystallography (IUC).
IUC Coding guide:
Example
*Slot 4 is often a 1 unless there are specific intersecting symmetries, though in simplified frieze notation, we often focus on the first three.
*Slot 4 is often a 1 unless there are specific intersecting symmetries, though in simplified frieze notation, we often focus on the first three.