In what sense are the following "regular patterns"? Be generous-- the concept is really rather loose! In what ways do they fail to be "regular"?
(Fractal by Chia-Hsing Nien)
What sorts of patterns can you find around you? Examples can be found in snowflakes, trees, the eddies on a river, the pores of a golf ball, or the venetian blinds on the windows! Which of these patterns can be described using isometries? Which can't?
Patterns like the ones in the pictures above are more difficult to describe than the wallpaper patterns we've been discussing. That doesn't mean we shouldn't study them. Often things we encounter in the real world don't conform to the rules we know, and we have to continuously modify old systems to include new ideas.
Author: Heidi Burgiel
Comments to: email@example.com
Created: Dec 7 1995 --- Last modified: Jun 11 1996
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