What do you mean when you say the dodecahedron is a modular curve? Is there some N for which X_1(N) can be naturally thought of as a dodecahedron or something?

What do you mean when you say the dodecahedron is a modular curve? Is there some N for which X_1(N) can be naturally thought of as a dodecahedron or something? Edit: Okay glanced at the arxiv paper linked below. The dodecahedron is not a modular curve per se, but the link is as follows: The quotient X(5) -> X(1), which geometrically is a quotient from P^1 (the sphere) to itself, can also be thought of as quotienting the sphere by the group of symmetries of its inscribed dodecahedron. I believe this group can naturally be thought of as PSL_2(Z/5Z)