Dizzying animations of hyper cubes performing a double reach around are hard to wrap your mind around because the depiction is inherently nonsensical. 4-space is much easier to understand from an every day example that most people are familiar with: the hyper rectangle, or more commonly known as the humble USB-A plug.
@aeva if people just rotated their USB plugs around the w axis instead of the x axis, they'd go in on the second try