What is the name of the critter depicted in the attached image?
That is the larva of a carpet beetle.


  Larvae feed on natural fibers and can damage carpets, furniture, clothing and insect collections.




"Anthrenus verbasci - larva side (aka)" by André Karwath aka Aka on Wikimedia

Related question: What kind of caterpillar is this?, though I think that the larva photographed in that example is either of a different species or at a different time period within the larval stage.