Looking for the spectrum of equilateral drums

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SUMMARY

The discussion centers on the search for formulas related to the frequencies of equilateral drums, specifically hexagonal drums and equilateral triangles. The user has successfully found formulas for half square triangles and rectangles but is seeking additional information on the specified shapes. There is a particular interest in deriving these formulas under Dirichlet and Neumann boundary conditions, which are crucial for solving partial differential equations in this context.

PREREQUISITES
  • Understanding of wave equations and their applications in acoustics
  • Familiarity with Dirichlet and Neumann boundary conditions
  • Knowledge of mathematical modeling of physical systems
  • Basic principles of drum acoustics and vibrational modes
NEXT STEPS
  • Research the mathematical derivation of frequencies for hexagonal drums
  • Explore the application of Dirichlet and Neumann boundary conditions in drum acoustics
  • Study the vibrational modes of equilateral triangles in acoustical physics
  • Investigate existing literature on the frequencies of polygonal drums
USEFUL FOR

Acoustic engineers, mathematicians, and physicists interested in the vibrational properties of drums and other geometrical shapes in acoustics.

Heidi
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Hi Pfs,
I found the formulas for the frequencies of half square triangles, and rectangles.
But nothing on hexagonal drums or equilateral triangles.
(it would nice to get them with Dirichlet and Neumann bordery conditions)
thanks
 

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