I've been busy - I'm writing a book, or series of books - for quilters. However anyone interested in developing techniques employed by artists will get some benefit from it. What follows is an excerpt, a draft not for publication.
Symmetry: a noun meaning "the quality of being made up of exactly
similar parts facing each other or around an axis."
Asymmetry: a noun meaning "lack of equality or equivalence
between parts or aspects of something; lack of symmetry."
Dynamic: An Adjective meaning "Relating to forces producing motion."
(source of definitions: google dictionary)
Dynamic Symmetry -
The commonly accepted “Rule of Thirds” and the "Golden Mean" are others.
To quote an article published by Larmon Studios:
“Dynamic Symmetry is an armature which is geometrically
designed to promote continuity, flow, rhythm and balance
within artistic design.”
While simple symmetry may be illustrated as any one of the
geometric polygons, dynamic symmetry uses asymmetry.
To try tessellating a design, draw a simple square.
From one side of the square, cut out a shape (any shape)
and re-attach it to the other side.
(What does the circle/square design remind you of?)
The square has a part of a circle cut out from the left edge
and attached on the right edge.
If you hold a mirror on one side, the image is not symmetrical
but forces movement of the eye from one side to the other..