Generalizing previous constructions, we present a dual pair of decompositions of the complement of a link L into bipyramids, given any multicrossing projection of L. When L is hyperbolic, this gives new upper bounds on the volume of L given its multicrossing projection. These bounds are realized by three closely related infinite tiling weaves.

中文翻译：

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多交叉链接互补的双锥分解

概括以前的构造，我们提出了对链接 L 的互补分解成双锥体的对偶分解，给定 L 的任何多交叉投影。当 L 是双曲线时，这给出了给定多交叉投影的 L 体积的新上限。这些界限是通过三个密切相关的无限平铺组织实现的。