He longs for the ultimate release of killing himself - but why. Polonius makes a noise, causing Hamlet to blindly thrust his sword through the curtain behind which Polonius is hiding, in turn killing him.
The name Romeo has even become synonymous with a man who is sorely infatuated, and the tragedy of lovers torn apart from society is now a cliche among movie critics.
These private traps do not have a hero and a villain in the traditional sense, but often a winner and a loser. Without examining the results of this scheme, its basic structure is one used by nearly every character in the play.
There is a springe Hamlet and a woodcock Claudius from the outset, and the results will be explicit: either the king reacts and Hamlet is victorious is his private game of cat and mouse or the king does not react and Hamlet faces even more self-doubt than before the play.
In this respect, Hamlet is equivocal - he gives several different motives depending on the situation. They do not immediately accost the culprit; rather, the characters set up small, contained traps and patiently wait for the results.
Hamlet is also fascinated with suicide, as the Greeks and Romans were, and unlike those in the Catholic religion. Alongside this comparison, he also mentions Niobe, Hecuba, and the Nemean Lion, all characters from the classics.