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by Retric 1015 days ago
It’s an engineering program masquerading as a math problem. Long enough racks can have misalignment without noticeable issues because each segment has some play.
2 comments

No. It's the other way around. If someone did FEA on the track and showed you a stress map, it would be obvious how uninteresting framing it as an engineering problem is.
The question opens with a question about the material properties of a physical object and many of the replies address that.

As a pure math problem it’s got a few constraints such as the track not physically intersecting with itself which go beyond the stated question.

So yes it’s a toy problem, but one constrained by real world objects.

Yeah, that's human interest to get you interested in the problem and how it occurred to the author. Do you think the trolley problem is about trolley cars on rails with switches?
The most upvoted response was objectively wrong due to real world constraints.

The real world is irrelevant in the trolly problem or the 4 color theorem etc.

You may personally be interested in it as a purely mathematical problem, but he’s looking for a real world answer so poor abstractions are useless. On the other hand “I would first check for track flatness. When locked in with extra effort, the loop will warp a little, basically going into 3d instead of flat 2d.” is a useful shortcut.

> he’s looking for a real world answer

Based on his history in StackExchange, it is unlikely Lezzup is looking for a real world answer. The top tags of his posts are: mathematics, sudoku, geometry, logical-deduction, sequence, and enigmatic-puzzle.

https://puzzling.stackexchange.com/users/84683/lezzup

“I am sure this could be calculated mathematically, but I prefer a more quick, practical way.”
It's a real world problem, but one constrained by toy objects.
I’d argue is a chemistry problem, or maybe material science, as the type of plastic dictates the stress tolerance.
engineering takes into account material properties. the engineering solution is "no, that tension is way inside the design tolerances"

the stack overflow answers are math.

The top rated answer was math, but it ignored the possibility that a section of track would be under tension to avoid intersecting with itself. For a mathematical curve that’s no issue, but physical objects add additional constraints to the problem.