In the 2d renderer, we show braid information at wire crossings in the traditional way, by occluding the lower wire in the neighhourhood of the upper wire, where 'lower' and 'upper' are with respect to the third dimension.
Similarly, in the 3d renderer, we could show braid information at surface intersections, by occluding the lower surface in the neighbourhood of the upper surface, where 'lower' and 'upper' are with respect to the fourth dimension.
In the 2d renderer, we show braid information at wire crossings in the traditional way, by occluding the lower wire in the neighhourhood of the upper wire, where 'lower' and 'upper' are with respect to the third dimension.
Similarly, in the 3d renderer, we could show braid information at surface intersections, by occluding the lower surface in the neighbourhood of the upper surface, where 'lower' and 'upper' are with respect to the fourth dimension.