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?
learning geometry for artists?
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reference-request
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1You 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-constr – 2012-03-29
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Why not judge for yourself what you like or not?
Two classics :
More recent :
- Mumford (2006) Indra's pearls The vision of Felix Klein
(a very nice book with some algebra...) - Ebert (2003) Texturing & Modeling - A procedural approach
(a personal choice for the Worlds we may create using a computer...)
A list at Amazon Geometry and Beyond.
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2I cannot upvote enough for Hilbert's book! A real gem! – 2012-03-31