Can you hear the shape of a graph?

I'm guessing this is in reference to a famous math problem, open for quite a long time, posed in the paper "Can One Hear the Shape of a Drum?" by Mark Kac.

https://en.wikipedia.org/wiki/Hearing_the_shape_of_a_drum

https://www.math.ucdavis.edu/~hunter/m207b/kac.pdf

Slightly better explanation: https://web.archive.org/web/20141114091039/http://math.iit.e...

You still have to figure out their convention for the matrices they're taking eigenvalues of though. Looking at the eigenvalues for K8, it seems to me that their adjacency matrices have 1 on the diagonal, and -1/n wherever there is an edge (n being the degree of the vertex), so that each row sums to 0.

You sure can hear the shape an orbit: https://www.youtube.com/watch?v=GiAj9WW1OfQ&t=384s

Makes a great sound reference for any nerdy science fiction movie.

Makes me think of potentially using sound as a way for humans to conceptualize higher dimensional spaces. I feel very bound to 3 dimensional visualizations frequently and often wish that conceptualizing that next step to even 4 dimensional spaces would be more 'obvious'. E.g. space time diagrams (even though I can't say that I'm good at evaluating movement in even one dimension of space and one dimension of time on a 2-d plot, I can't even comprehend trying to 'visualize' movement through three dimensions of space and one of time.) For some reason feels more possible in audio space.

Conversely, can you make a graph that sounds like the song "happy birthday", and would the graph suffer from copyright claims?

Slightly OT: I'm on FF. Is it suppose to download a .wav file or play it?

Now I want to hear charts. Market crashes would be fun.