  The presence of slipknots in configurations of proteins and DNA has been
shown to affect their functionality, or alter it entirely. Historically,
polymers are modeled as polygonal chains in space. As an alternative to space
curves, we provide a framework for working with subknots inside of knot
diagrams via knotoid diagrams. We prove using a pattern theorem for knot
diagrams that not only are almost all knot diagrams slipknotted, almost all
unknot diagrams are slipknotted. This proves in the random diagram model a
conjecture yet unproven in random space curve models. We also discuss
conjectures on the enumeration of knotoid diagrams.
