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In two-dimensional simulations the resulting rate is known, but real systems are three-dimensional, where the bubbles become twisted tubes and turbulence develops.","posed_since":"","precise":"In resistive (and Hall) MHD reconnection with Lundquist number $S = L v_{A}/\\eta$ far above the critical $S_{c} \\sim 10^{4}$, $2\\mathrm{D}$ simulations give a rate $\\sim 0.01 v_{A} B_{0}/c$ independent of $S$ and a power-law plasmoid size distribution. Determine in $3\\mathrm{D}$ the asymptotic rate as $S$ goes to $\\infty$, the critical $S_c$, the flux-rope size distribution and whether self-generated turbulence makes the $3\\mathrm{D}$ rate differ from the 2D value. An answer is converged $3\\mathrm{D}$ values with error bars.","problem_ref":"c1b1c641085393db0156fb15d5b864dc904d5993b88860599d72675eb327487a","references":"","settled_by":"3D MHD simulations converged in S and resolution, cross-checked against a high-S laboratory experiment.","status_note":"The 2D plasmoid-mediated rate of about 0.01 was established around 2009-2012; the 3D asymptotic regime is still under study in 2025-2026.","title":"Reconnection rate at very high Lundquist number in three 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