A Mathematical Space odyssey: Solid Geometry in the 21st Century

Roger Nelsen, professor emeritus of mathematics, coauthors a text that presents techniques for proving a variety of geometric results in three dimensions. 

Mathematical Association of America, 2015. 288 pages. 

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http://www.amazon.com/Mathematical-Space-Odyssey-Geometry-Century/dp/0883853582/ref=sr_1_1?ie=UTF8&qid=1455137809&sr=8-1&keywords=a+mathematical+space+odyssey+solid+geometry+in+the+21st+century