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10:33 PM, Tuesday March 31st 2020

https://drawabox.com/lesson/1/16/step4

In the rotated boxes exercise you are not drawing boxes. So you can assume one of the vanishing points to always be at the center. Doing this distorts the shape of the boxes but the exercise instructions say this is expected.

What the exercise ask you is to work with the other vanishing point, sliding it from infinity (for the central box) closer until it's quite close to the box itself. On top of that once you draw the boxes which are not aligned to the axis you'll need to work with two such vanishing points at the same time.

This exercise is sort of an introduction to 3 point perspective. Almost like 2.5 point perspective. The third vanishing point is there (in the center) but you are not doing any work to put it in the right place.

This is a peculiarity of this particular exercise, so bear with it as you do your rotated boxes. Think of it as "training wheels" while you get used to perspective rotation. Once to move on to drawing boxes in general 3 point perspective you will have to think about the placement of all the vanishing points (ie. with the training wheels removed).

11:40 PM, Tuesday March 31st 2020

So you can assume one of the vanishing points to always be at the center.

That's not true. The vanishing points don't stay at the center. Nihmar's initial statement - that the vanishing points slide along the horizon line - is correct.

The thing is, we're not just rotating the boxes around their own origin - we're rotating them relative to some point farther back, so the boxes themselves can be treated as rotating around their origin and physically moved in space. So the vanishing point is sliding, and then the whole thing is being moved. That doesn't have anything to do with them not being boxes though (which you're right, they're not). Them not being boxes just means that those depth lines exist in pairs, with two going to one vanishing point, and the other two going off to a slightly different VP.

6:51 AM, Wednesday April 1st 2020

These answers solved a lot of doubts, thank you to both of you. I should have realized the fact that we are also moving the boxes.

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