Friezes and Tessellations
This page explores the applications of geometric transformations in creating patterns, specifically frises et pavages friezesandtessellations.
Tessellation Pavage:
A tessellation is a pattern that covers a plane without gaps or overlaps using one or more geometric shapes.
Definition: A tessellation is created by repeating a basic motif elementarypattern using translations and/or rotations.
Frieze Frise:
A frieze is a strip pattern that extends infinitely in one direction.
Example: The diagram shows a frieze pattern created by applying two translations to a basic motif.
Rosette Rosace:
A rosette is a circular pattern created by rotating a motif around a central point.
Example: The illustration demonstrates a rosette pattern formed by applying multiple rotations to a basic shape.
Vocabulary:
- Tessellation Pavage - A pattern that fills a plane without gaps or overlaps.
- Frieze Frise - A strip pattern extending infinitely in one direction.
- Rosette Rosace - A circular pattern created by rotations around a central point.
These patterns demonstrate practical applications of transformations géométriques geometrictransformations in creating aesthetically pleasing and mathematically interesting designs.