These materials can be suspended by wrapping them in poly(arylene-ethylene) in a method that affords a relatively consistent pitch length. These materials can be oxidized to create “peapods,” which can then be annealed to create a different type of these materials. These materials are described by 2D vectors (n, m) (“n-comma-m”) that count units on a lattice; (15[1]-5[1])if 2n plus m is a multiple of three, then these materials are metallic. These materials were first synthesized by Iijima (“ee-ee-JEE-mah”) using the (*) arc-discharge method and come in chiral, zigzag, and armchair forms. Multi-walled examples (10[1])of these structures are comprised of nested single-walled versions of them, which can act as extremely strong fibers. (10[2])For 10 (10[1])points, name these carbon allotropes with a cylindrical structure resembling a rolled-up sheet of graphene. ■END■ (10[1])