Spectrum of the Laplacian on Regular Polyhedra

Abstract

We study eigenvalues and eigenfunctions of the Laplacian on the surfaces of four of the regular polyhedrons: tetrahedron, octahedron, icosahedron and cube.

Publication
Spectrum of the Laplacian on Regular Polyhedra, Communications on Pure and Applied Analysis 20(1), pp. 193-214.
Samuel Wiese
Samuel Wiese
PhD Student in Computer Science