# Chladni figures Barycentric refinement

Here are some Chladni figures of of the Barycentric refinement G_{3}of the triangle K

_{3}. This graph has 121 vertices. The level surfaces are in the refinement G

_{4}shown here. We want to understand the spectral gaps, the discontinuities of the spectral functions F. Like the gap occurring at x=1/2, which corresponds to the change from eigenvalue number 60 to number 61. See the preprint "The graph spectrum of barycentric refinements" for the math and mini blog, Same pictures for G

_{3}, a polyhedron or or a square.