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About: Hantzsche–Wendt manifold     Goto   Sponge   NotDistinct   Permalink

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The Hantzsche–Wendt manifold, also known as the HW manifold or didicosm, is a compact, orientable, flat 3-manifold, first studied by and Hilmar Wendt in 1934. It is the only closed flat 3-manifold with first Betti number zero. Its holonomy group is . It has been suggested as a possible shape of the universe because its complicated geometry can obscure the features in the cosmic microwave background that would arise if the universe is a closed flat manifold, such as the 3-torus.