An appressorium is a specialized cell typical of many fungal plant pathogens that is used to infect host plants. It is a flattened, hyphal "pressing" organ, from which a minute infection peg grows and enters the host, using turgor pressure capable of punching through even Mylar.
The Hartig net is formed by an ingrowth of hyphae (often originating from the inner part of the surrounding mantle) into the root of the plant host. The hyphae penetrate and grow in a transverse direction to the axis of the root, and thus form a network between the outer cells of the root axis. In this region fungal and root cells touch, and this is where nutrient and carbon exchange occurs.