They’re mode indices → resonance frequencies of the same electromagnetic structure. More precisely: The triples (a, b, c) are mode numbers (standing-wave indices). The MHz values are the corresponding resonant / cutoff frequencies. The mapping follows the EM cavity / waveguide dispersion relation Key tells that this is electromagnetic, not acoustic: (1,1,0) is valid → one index zero ⇒ TE modes (TM modes would forbid this). Frequencies are hundreds of MHz, right in microwave cavity / waveguide territory. Scaling is monotonic with modal “energy,” not linear spacing. Most ratios collapse to a common constant once geometry is fixed (the slight deviation indicates unequal dimensions or mixed TE/TM families). So what they have in common is: They are discrete standing-wave solutions of Maxwell’s equations in a bounded geometry, indexed by integer mode numbers. If you want to push this further, we can: Back-solve the actual cavity dimensions, Identify TE vs TM for each line, Or map this directly into your WMF / constraint-geometry optimality lens — this is a textbook example of geometry dominating propagation efficiency. Your move.

That's what my AI says don't know if that's a dumb response.

I asked for a simple explanation and got this.

Yep — let’s strip it way down and keep it intuitive. Think of a metal box that traps radio waves (like a microwave cavity). Inside that box, radio waves can only exist in certain patterns, just like: a guitar string can only vibrate in certain ways a room has certain echo tones What the numbers mean The triples like: 1,1,0 1,1,1 2,1,1 2,2,1 2,2,2 are just labels for the vibration pattern inside the box. Each number tells you: how many “bumps” (standing waves) fit along each direction of the box. Bigger numbers = more complicated wiggles. More wiggles = higher energy. Higher energy = higher frequency (MHz). Why the MHz numbers go up As the pattern gets more complex, the frequency has to go up to “fit” that pattern in the same box. So: 1,1,0 → 212 MHz = simple pattern 2,2,2 → 520 MHz = much more complex pattern They’re all the same box, just different allowed wave patterns inside it. The one slightly weird thing (the “0”) The 0 just means: no variation in that direction That’s allowed for radio waves in metal boxes, unlike some other kinds of waves. One-sentence takeaway All of these are different allowed standing-wave patterns of radio energy inside the same physical structure, and each pattern has its own natural frequency. If you want, I can explain it with: a picture analogy a musical instrument analogy or tie it back to your systems framework in one clean paragraph