Thanks, Paul! Jihyeon's work is a very interesting exploration of capsid geometry and I look forward to diving into it further. Geodesation of Platonic solids gets you at least approximate geometric tilings that have the same topology, which ultimately determines percolation properties (and was thus sufficient for me here).
However, there are large swathes of tilings more intricate than those produced via the scripted method I used; in those instances, we resorted to a bit of manual work using 3rd party resources in the associated publication, even just to get the topological representation down. Your and Jihyeon's work seems to be more rigorous in that direction using Mathematica, which is fascinating.