PPT Slide
A pattern is a repeating array of identical units (typically with
The following web sites illustrate many such examples from
art and mathematics:
- Regular tilings: The only regular polygonal tilings of the plane are by triangles, squares, and hexagons.
Regular polygons are ones in which the sides have the
same length and the angles are all equal.
- Wallpaper patterns are “marked” tilings of the plane with
an orientation reversing symmetry that can be detected through markings. There are exactly 17 such independent patterns for the plane. Many of these are represented in the artwork of M.C. Esher. You can construct and examine these wallpaper patterns using the program Kali.