I built a @geek2nurse icosahedron and faced it with a nasty maze.
Get from the top triangle…
down the sides…
To the bottom triangle.
The entrance and exit are on opposite sides, so you have to traverse the whole thing top to bottom.
This is a difficult maze, there are infinite loops and dead ends everywhere. There’s only one solution… I made it and even I am like “uh…”
Want to try it yourself? Go to a maze generator and make a bunch of different triangular mazes (20 to be exact) and go nuts. You’ll need to tweak it to make it work in a wrap around polyhedron like this, but it’s a cool project.