"Cornerless-cube" beads are square—that is, having four sides (a cube), with the tips of the corners ground-off, providing eight facets. This is an ancient shape, and many stone specimens are well known.

The so-called "Russian" (glass) beads were made similarly, except that the parent canes were 6- or 7-sided, and the beads faceted by having the ends of their edges cut. Hence, "cornerless hexagonals" and the like.

The present beads are called "pentagon" beads (because the eight paddled facets are five-sided), and they're also called "twisted squares" (by Peter Francis, or noted by him) because they are shaped like what would happen if you could magically twist a cube 45 degrees between one end and the other. Like the cylindrical 5-sided "pentagonal faceted" (actually "prismatic") beads, these are wound glass beads.

Jamey