A double cap cigar is a cigar that has two layers of wrapper leaf overlapping at the head. This creates a slightly thicker and rounder shape to the cigar’s head, allowing for more flavor and complexity in the smoke. On the other hand, a triple cap cigar has three layers of wrapper leaf which overlap each other at the head. The triple cap allows for an even greater amount of complexity and flavor in the smoke, making it a popular choice among aficionados who prefer stronger cigars with full-bodied flavors.