6-Balloon Icosahedron Ball

This is a balloon design that I discovered using the graph theory I learned in college (I majored in math). I set out to make a icosahedron out of balloons. Since the icosahedron consists of 12 odd vertices I knew right away that I was going to need at least six balloons because each of the 12 vertices would need to include one end point (to make it odd) and each ballon has two end points. The icosahedron has 30 edges so I knew that each balloon would need to be divided into 5 segments (30 ÷ 6). So, the problem was to fill up a graph of an icosahedron using 6 Hamilton paths. I came up with several solutions but they were difficult and confusing to construct using balloons, so tried to find a solution that would be more like putting together origami modules and that's when I came up with this design.
I like to make this design a parties where I don't have enough time to make balloons for everyone, but at least I can make this icosahedron ball which everyone can share and toss about like a beach ball.