Classical knot theory considers embedded loops in 3-dimensional space up to smooth deformations that don’t bend or break the loop. In dimension four, the interesting knotted objects are not loops (which are 1-dimensional) but rather surfaces (which are 2-dimensional). Being 3-dimensional beings ourselves, “seeing” knotted surfaces can be a challenging task. In this talk, we’ll discuss various ways to draw knotted surfaces (or ways to draw enough data to recover knotted surfaces), and we’ll look at some recent results of myself and collaborators that transfer well-understood ideas from dimension three into dimension four.