Boilermakers and sheet metal workers have something in common with fashion designers: They have to figure out how to cut 2D materials to form 3D shapes. For instance, imagine trying to make this out of sheet metal:

Sure, you could plot it out in CAD first. But skilled boilermakers may be confronted with problems in the field, like how to mate a cylindrical duct with a rectangular opening. They learn to plot things like this out with a compass and math.






If you're curious to learn these skills, expert boilermaker Shellton San has a YouTube channel filled with tutorials. ( Though originally shot in Portugese, the videos are now available auto-dubbed in English.) ID modelmakers could learn a thing or two.
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Fascinating! This is also an incarnation of stereotomy: the general method of modeling 3D objects from 2D geometric forms. The pictured paper flat-to-shape exercises are *extremely* similar to those which, e.g. traditional carpentry apprentices still study in France and Germany (and possibly also Japan; unsure whether they use this kind of paper form modeling). Likewise, stonemasons across the world have their own ancient traditions of stereotomy, for everything from basic arches, to fan vaults, cathedral architecture, etc.
For me, SHEET METAL PATTERN DRAFTING AND SHOP PROBLEMS ©1922,1959,1961, Daugherty and Powell. The process has been the same for a couple of centuries. I'm old - I learned this stuff in 1968. It absolutely baffles anyone who grew up with CAD.
The Geometry of Sheet Metal Work: Amazon.co.uk: Dickason, A.: 9780582009615: Books