When Beauty Is Depicted, The Picture IS Worth A Thousand Words (BrandonRugs.com)

The hand-knotted oriental rug has a distinguished seat on the dais at this design seminar where profound statements are being made in a genteel exchange of ideas from all participants.

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Taste for Makers - A Cross-Discipline Exploration of Design Concepts

This interesting essay "Taste For Makers" (http://www.paulgraham.com/taste.html) by Paul Graham reveals the stuff it takes to make good stuff. It details concepts pertaining to what makes things beautiful, functional, useful and desirable. 

Fine rugs - especially traditional quality hand-knotted rugs - are all those things, and so must have these principles woven into their creation, and into our ultimate enjoyment of them.

Symmetry and Pattern: The Art of Oriental Carpets

http://mathforum.org/geometry/rugs/    ( Symmetry and Pattern: The Art of Oriental Carpets )

The mathemeticians can explain what is happening -- and it is fascinating. But humble artisans make it reality from a talent written in our humanity.

"Oriental Carpets have long been appreciated for their beauty. That beauty is achieved through the choice of colors and designs, as well as by the manipulation of designs and colors to form pleasing patterns."

"Patterns in Oriental carpets are never quite what you expect - a surprise here, a flourish there, a change of color, the flip or rotation of a design where you might not predict it. The more you look, the more variations you will find. How can we explain this phenomenon? Is it the result of human choice, or human error?"

"The study of symmetry offers one approach to analyzing patterns in Oriental carpets. Through symmetry analysis we may identify areas of pattern that exhibit expected repetitions, and areas that vary from that expectation."