One of our alums (Thanks CJ!) sent a link this summer about how MATH was used in the design of the Alignment Optical Telescope in the Apollo Lunar Modules. I mean, yes, of course it was, but in particular an Archimedes Spiral — a spiral where the distance is increasing steadily, such as r = θ in polar coordinates — was used instead of a heavier piece of equipment. This is, I think, the first time I’ve seen a modern application of the Archimedes spiral.
The video is available below, and there is more info at NASA.