The bam'mrex has two loops that hang from a medusa-style bell. Figure one shows a cross section of these loops. The cross sections of four-dimensional objects are three dimensional and what you see above are spheres. Being three-dimensional, we can only see one segment at a time. On the end of the loops, the spheres are lumpy and soft. In the middle, they are spiked. Near the mouth, the spikes have barbs and other branches. The preferred hunting strategy of the bam'mrex is to move its soft spheres close to unsuspecting prey and surround it. It then moves its loops through the fourth dimension to where the spheres are spiked and impales the prey. It continues to move through the fourth dimension to where the spikes are barbed. Using the increased surface area, the bam'mrex has only to pull its looped tentacles into the mouth where the prey will suddenly find itself surrounded on all sides it is capable of perceiving or moving in.
To better explain its hunting strategy, I drew a three-dimensional analogue that hunts two-dimensional organisms below. Only one of the two loops is shown. In this case, when something touches the soft part of the tentacle, it forces the tentacle downwards until the blade cuts through. The two-dimensional prey would not understand that the blade had always been there, instead perceiving that the circle they were near suddenly sprouted a line that impaled it. Next, the tentacles continue to move to where the blade has a "T" cross-section. This allows the hunter to pull the prey out of its two-dimensional space and into its mouth. The prey would only perceive that the line had sprouted branches.