In Warcraft III (Reign of Chaos or The Frozen Throne), the practice of attacking the opponents base using only your
hero (and any summoned units, if the hero is a summoner of some kind). Mostly prevalent in multiplayer games when there are multiple allies, thus maximizing
the effect. In a Hero Rush, the opponent's workers are usually targeted
first. The purpose of a hero rush is to strike early
(and hopefully insurmountable) advantage.
Red and Pink are doing a Hero Rush on Teal. TP (teleport/town portal) to Teal now.