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Wikipedia:Reference desk/Archives/Mathematics/2022 January 6

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January 6

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Gluing construction for the non-orientable flat 3-manifolds

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Is there a reliable source that describes the gluing constructions for the 8 non-orientable flat 3-manifolds (4 closed and 4 unbounded), akin to those for the 10 orientable ones? The most nontechnical description I found online was in terms of the corresponding space groups. I may not have access to the source, so you may want to describe the gluing constructions here. –LaundryPizza03 (d) 11:13, 6 January 2022 (UTC)[reply]