Part I
Part II
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Atoms as flat, fractal loops
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Superclusters though, are not the largest flat structures in space. Brent Tully reported that many of them are in fact joined, stretching through Cetus, Pisces, Perseus, A1367, Coma, Virgo and Centaurus. See 1986 ApJ...303...25T. And even this is not the top limit on size; see next slide.
