# Analytic Solutions of the Helmholtz Equation for Some Polygons with 45 Degree Angles

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This Demonstration considers the Helmholtz equation in two dimensions:

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Contributed by: S. M. Blinder (January 2021)

Open content licensed under CC BY-NC-SA

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References

[1] H. P. W. Gottlieb, "Exact Vibration Solutions for Some Irregularly Shaped Membranes and Simply Supported Plates," *Journal of Sound and Vibration*, 103(3), 1985 pp. 333–339. doi:10.1016/0022-460X(85)90426-2.

[2] W.-K. Li, "A Particle in an Isosceles Right Triangle," *Journal of Chemical Education,* 61(12), 1984 p. 1034. doi:10.1021/ed061p1034.

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