An interface defines the metric of search space

What exactly is going on here?

This is a beautiful visualisation for something so trivial, well done...

Nice visual. Probably more relevant to ML. This assumes water temp is magically stable. also:

This felt relevant:

Thank you, it’s more precise and explanation for what I wanted to visualize. But I’m wondering the temperature is technically not a “difference” of hot/cold water — or rather, it may be a ratio of the two. I know they purposely simplified so to explain within the frame of basis transformation, yet I’m just curious if there’s much more generalized term for representing a non-linear transformation, such as (hot, water) -> (pressure, temp) and (R, G, B) -> (H, S, V).

Is the z-axis the flow rate?

so cool, i wrote an article about this exact metaphor a while back:

this is exactly why we have misinformation problems and I've never understood how people didn't see this coming. it's been obvious since i started my journey over a decade ago.

Hysteresis is missing....