The Carpet Makers
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The Carpet Makers (ISBN 0-7653-0593-3), a novel by Andreas Eschbach published in 2005 by Tor Books, is an English translation of the German Die Haarteppichknüpfer (1995).
The book is set on a planet whose sole industry is weaving elaborate rugs. The carpets are made of human hair and require a lifetime of work to complete. The book is a series of inter-related stories that give increasingly more detail on the nature and purpose of the rugs and why the universe has tens of thousands of planets solely devoted to making such a thing, each thinking they are the only one.