Fairly off-subject but I wonder if anyone's heard of something like
this being built?

In the DSP world we toss around concepts like convolution, room
responses and the like, usually in the context of getting natural
reverb but always note the input could be convoluted by any other
signal.

Taking it backwards: what if the other signal was a sample of someone
saying, "hello?"  And if this wasn't DSP, but rather a surface was
prepared to give this as a natural echo in response to a clap or say a
gunshot?

Find a nearly straight cliff somewhere, or perhaps a smooth, flat,
fossil lake bed, and machine it in a slight sawtooth pattern such that
"vertical edges" of the sawtooth were in fact all facing the clapper
perfectly.  For 44.1kHz reproduction you'd need a vertical edge every
7mm or 1/4", though 1/10 that fidelity would still be phone-quality.
The vertical extent of each of the sawtooth-edges would correspond  to
the strength of that "sample."  The edges from near to far would
appear from the clapper's position to be the same angular height and
width, and the edges wouldn't be flat but in fact be subtly curved so
the entire edge faced the clapper.  This would mean that energy
reflected for the first sample and last would be the same energy
(assuming they were meant to be the same magnitude) and that energy
would be focused at the clapper.

Result: drive out to Hello Point, clap, and hear the recording.

(A distant relative of this concept: in my youth there was some
highway in Minnesota with grooves that caused your car to play a few
bars of music as it drove by.  It might have been the state song or
something.  That was simple monophonic square waves, and was more akin
to a record paper, but is similar in that a surface was machined to
reproduce sound under certain circumstances.)
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