Monday, October 7, 2013

Wallpaper Groups: p2

Tonight I'm continuing my exploration of Wallpaper Groups with an example from group p2. Cells in this group have the following structure:


p2 wallpaper cell structure from Wikipedia

Key
Wallpaper group diagram legend rotation2.svga centre of rotation of order two (180°).
Wallpaper group diagram legend rotation3.svga centre of rotation of order three (120°).
Wallpaper group diagram legend rotation4.svga centre of rotation of order four (90°).
Wallpaper group diagram legend rotation6.svga centre of rotation of order six (60°).
Wallpaper group diagram legend reflection.svgan axis of reflection.
Wallpaper group diagram legend glide reflection.svgan axis of glide reflection.
 Image and Key: Source: Wikipedia


Now applying cats. Note my example flips the parallelogram 90 degrees.

example of p2 wallpaper cell with cat
The cell structure contains a 180 degree rotation
 Once we create our cell, we translate it both vertically and horizontally to cover the plane.

example of p2 wallpaper group with cat pattern
The cell is translated across the plane to create a pattern

For more examples of p2 patterns, check out my pinboard.