An alternate description for ribbon disk complements in the
$4$-ball is provided. It is known (and reestablished) that
this description is equivalent to the standard LOT description,
up to $3$-deformation. Amenable to geometric arguments, the
alternate description yields asphericity results for ribbon
disk complements using simple graph-theoretic criteria and,
later, using a relative homotopy group which arises naturally.
In the course of making and modifying the description, two
algorithms are given for presenting ribbon disk groups.