Some succulents, such as the Cobweb Houseleek, have fine spiderweb-like filaments that grow naturally from leaf edge to leaf edge, forming a white cover on the top of the plant, while others have fine hairs that cover the entire plant structure.
This interesting specimen is related to the “hen and chicks” succulents which produce clusters of offspring around their perimeter. Upon maturity (usually around 3 to 4 years old) this plant will send up a single stalk that can reach 5-15 cm tall. The head of the stalk is a cluster of star-shaped flower buds 1-2 cm in diameter, which range in color from dark pink to yellow and that flower for several weeks. After blooming, the plant will die. Usually by this time it has produced many offsets (‘chicks’).
This image is from the cobweb currently going through maturity on the patio. Click on it for a nice close up view.
Wikipedia provided the details on this item.