Nodal Lines and Quasi-Space Filling Curves

Year: 2003 Authors: T. Giorgi; C. Werner

Core claim

A carefully chosen sequence of square-membrane eigenfunctions yields simple nodal curves that fill the domain in the limit.

Topics

nodal lines, space-filling curves, vibrating membranes, Chladni figures, spectral theory

Domains

Laplace equation, Dirichlet eigenvalue problem, eigenfunctions, nodal sets, sequences and limits, computer art, visual design, music visualization

Methods

theoretical analysis, computer algebra exploration, Scilab, Maple, case-by-case nodal set study

Media

square membrane, sand on vibrating plate, visual figures, computer-generated curves

Source status

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