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In highschool we learned geometry separate from algebra, all with the same teacher. I would get 100% in geometry and failing grades in algebra. I later read in the arts and now have a PHd in psychology. I am from a family of artists and find my drawings and etchings tend towards repeated patterns and symetry. I recently started reading King of Infinite Space by Siobhen Roberts, a biography of Donald Coxeter. It is an excellent book and has rekindled a curiosity about geometry. Would you recommend I read Coxeter's books or vis there another route for someone who is interested in learning more geometry but still wanting to avoid algebre?

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    You might find it interesting that that islamic artists created aperiodic tilings 500 years before they were rediscovered by matheticians in the 1960's. http://www.scientificamerican.com/article.cfm?id=islamic-artisans-constr2012-03-29

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Why not judge for yourself what you like or not?

Two classics :

More recent :

A list at Amazon Geometry and Beyond.

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    I cannot upvote enough for Hilbert's book! A real gem!2012-03-31