>>16638217
>i don't think you understand the problem.
I wanted to accuse you of that.
>your goal is to place the food such that the bug takes the MAXIMUM distance of all possible distances it can travel.
No, you cannot select a path for the bug.
>you placed the food somewhere such that the minimum distance the bug travels is sqrt(65/8).
Yes.
>i placed the food somewhere such that the minimum distance the bug travels is 2 + sqrt(2).
No, the minimum distance between A and B is sqrt(8).
As I already stated, in a previous post.
sqrt(8) < sqrt(10) < 2 + sqrt(2)
Furthermore, if one unfolds the 1×1×2 box, then the bug's path is a single line segment.
Which means, that its length can be written as sqrt(x).
Your 2 + sqrt(2) cannot be written as sqrt(x).
I'm starting to think, that you might be an agent, a bad actor, or a liar!
>my distance is bigger than yours, which means i satisfy the problem and you do not.
You cannot force the bug to walk along a tightly-wound square helix from A to B.
The length of which far exceeds your 2 + sqrt(2).

In conclusion, you're starting to bug me.
And if this continues, then I may have say: "eye ching gah, you bug!"

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so given a box of X, Y, and Z dimensions, what would actually be the minimum of[math]\sqrt{a^2+y^2}+\sqrt{(x-a)^2+z^2}[/math]

so given a box of X, Y, and Z dimensions, what would actually be the minimum of
[math]\sqrt{a^2+y^2}+\sqrt{(x-a)^2+z^2}[/math]