Applied Coherent Technology (United States)

The continuum limit of icosahedral Goldberg–Coxeter fullerenes: the flat icosahedron with twelve cone points

Let G_ν = GC_{ν,0}(D) be the Goldberg–Coxeter fullerene of the dodecahedron D, with 20ν² vertices, and let L_ν = 3I − A_ν be its graph Laplacian. Omori, Naito and Tate showed that the bottom o(ν²) eigenvalues tend to 0. We identify the limit of the rescaled bottom spectrum ν²λ_k(...