/sci/ - Science & Math

>>10358114
>>10359240
I don't get this. For ease I've discarded all non-relevant faces in pic related and just unfolded the remaining two.

If we take it as a single continuous rectangle, then AB is the hypotenuse of a triangle with sides 1 and 2+1, which equals a hypotenuse of sqrt(1^2+3^2) = sqrt10. If we move along the edges instead, we end up moving 2+sqrt2 (along the edge then across the diagonal). So we end up with 3.16 and 3.41 respectively.
If we assume point C is at (0.75, 0.75, 2), then it makes a triangle with a hypotenuse of sqrt(2.75^2 + 0.75^2). If we move along the edges and then across the diagonal, we move sqrt(2^2+0.75^2). 2.85 and 2.136 respectively.

Seems to me like the point with the longest shortest path is still B.