Continuing arguments presented [1] or announced [2][3] in Complex Systems, zero-divisor (ZD) foundations for scale-free networks (evinced, in particular, in the “fractality” of the Internet) are decentralized. Spandrels – quartets of ZD-free or “hidden” box-kite-like structures (HBK’s) in the 2N+1-ions – are “exploded” from (and uniquely linked to) each standard box-kite in the 2N-ions, N ≥ 4. ...