Starting with the cylinders around arbitrary minor axes, I'm actually fairly satisfied with the foreshortening variation. There's two things I look out for in particular here:

• Cases where the student just straight up includes no foreshortening at all. There are some here that are close to it, but where there's enough of a slight convergence between the side edges to argue that you just had very slight foreshortening, like 122 - which is totally fine. The reason cases with no foreshortening at all would be a problem is because this only occurs when the cylinder runs perpendicular to the viewer's angle of view, and if we're rotating these cylinders freely, we can assume it'll basically never happen. Looks like you're clear on this front.

• Cases where the two shifts between the near and far end of a cylinder - that is, the shift in scale caused by the convergence of the side edges, and the shift in degree where the closer end is narrower and the farther end is wider - occur at an inconsistent rate. Since both of these are manifestations of foreshortening, we do sometimes have students apply them in a disconnected fashion, allowing the shift in scale to be quite dramatic (far end way smaller than the closer end), but the shift in degree remains very minimal, or vice-versa. I'm not seeing much of this in your work, so it looks like you're clear on that front too!

As far as the ellipses go, you're doing a great job of drawing them confidently and fluidly, maintaining even and smooth shapes. You've also done well to check your minor axis alignments, and you caught a lot of very slight mistakes, which helped you reel them in more and more as you progressed through the exercise. Very nice work!

Continuing onto your cylinders in boxes, I noticed that early on you did have a tendency to have your boxes' edges converge in pairs, but I also noticed that you appeared to work on correcting this as you pushed through the set. As a whole, while there is certainly plenty of room for continued growth in terms of getting your lines to converge more and more consistently, I think you're showing a lot of solid progress and clear attention to what you're doing.

When it comes to adding the ellipses themselves, you've continued to do a great job. This exercise is basically designed to hone a student's instincts for proportion - specifically, their ability to construct boxes that feature two opposite faces which are proportionally square. We do this by using the ellipses as part of the error checking - by adding their own line extensions, we can see how far off they are from converging towards the box's own vanishing points, and therefore how far off we are from the ellipses representing circles in 3D space, and how far the planes that enclose them are from representing squraes in 3D space.

As a whole you've done a great job, and I can see your grasp of those proportionally relationships improving. Still plenty of room for growth, but that's normal - as it stands though, you're well prepared for lesson 6.

So, I'll go ahead and mark this challenge as complete! Keep up the good work.