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The Rectangular Lattice

This is the largest category of patterns, both because there are so many wallpaper groups with this lattice type, and because for each group there are many possibilities for negating symmetries.

We break up the recipe tables into tractable pieces. You may wish to visit the tables immediately, or read an explanation of the methods for making them.

[Next] The Ingredients
[Next] Functions with no positive mirrors or rotations
[Next] Functions with mirrors but no positive rotations
[Next] Functions invariant under positive rotations

[Next] The Rectangular Ingredients
[Skip] The Rhombic Lattice
[Up] Recipes for Negation
[UpUp] Negating Isometries
[Prev] The General Lattice

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: Sep 30, 2003 9:27:06 AM
Comments to: CVM@maa.org