Annie Perkins (@anniek_p) shared (Twitter) how to make an icosahedron out of paper. (BTW, her video really helps.)
I had to make one.
It turns out that the edges can be colored, using 5 colors, so that the 5 edges meeting at every vertex are all different.
I used 5 colors. Picked Easter colors! 6 of each to make the 30 edges. (Didn’t take too long. My wonderful wife, Marilyn, helped.) I used 4″ by 4″ scrapbooking paper.
Here are my pics. (Click to enlarge.)