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Image: PGG'

[pgg' wallpaper]

This image represents a wallpaper function with symmetries in the group pgg'. The horizontal glide (purple line) is a positive symmetry, while the vertical glide (green line) and the half-turn (green dot) are negative (or anti-) symmetries.

The equation for the function used in this image is:

1.0 sin(2X) cos(0Y) + 1.0 cos(1X) sin(2Y) + 1.0 sin(3X) cos(1Y) + 0.5 cos(0X) sin(1Y)

[Up] Informal Discussion of Anti-Symmetries

Communications in Visual Mathematics, vol 1, no 1, August 1998.
Copyright © 1998, The Mathematical Association of America. All rights reserved.
Created: 08 Jul 1998 --- Last modified: 18 Aug 1998 23:59:59
Comments to: CVM@maa.org