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We show that $$\mathbb {R}^3$$R3 can be packed at a density of $$0.222\ldots $$0.222… with tori whose minor radius goes to zero. Furthermore, we show that the same torus arrangement yields an asymptotically optimal number of pairwise-linked tori.

On Packing $$\mathbb {R}^3$$ R 3 with Thin Tori