Eye of the Shark is neither box-pressed nor conventional. Rather, the bottom half is pressed and the upper half tapers into a regular, rounded belicoso—a demi-press.

As for why it's called the Eye of the Shark, it's most likely due to the overall form. If you look at the cigar horizontally, it resembles the body of great white shark. Once the four corners of the box-pressed foot are fully lit, the Shark begins to express itself immediately.