Good evening, all you lovely logic gates, flickering out there in the dark. How about a challenge tonight?
You have a freshly generated cube sitting in front of you, aligned to the world axes (or axiseseses, if you prefer). You want this cube standing on one corner, with the opposite corner directly above it. How do you rotate the cube?
Simple, right?
I'll be posting an answer with explanation later, probably in around 5 or 6 hours.
Answer time!
This is a bit of a trick question, because your instinct will be to say, "Rotate it 45 degrees on one axis, then 45 on another, and done!" But the result is what you see in the first image. :(
The right answer takes a variety of forms, but 35.2 degrees is fair. One way to understand why is illustrated in image 2 — after the first rotation, we're no longer rotating a square cross-section, but a rectangle that's 1.4ish times as long.
@PixelAndPolyCurator yeah, I can see why rotating 2x45 would be infeasible then, and the fact that the question was posed was a hint towards exactly that. I didn't have anything handy to test the math for a proper solution though, so I kept my mouth shut about it
@elfi Partial point score for recognizing a trap. ;)