Starting with your cylinders around arbitrary minor axes, your work here is by and large very well done. You're executing your linework with confidence, which ultimately results in smooth, straight side edges and evenly shaped ellipses. You're also quite fastidious in checking the alignment of your ellipses after the fact, catching even fairly small discrepancies, which is important when it comes to avoiding the tendency to plateau when we get into that "close enough" territory.

I'm also pleased to see a decent variety in terms of the rates of foreshortening, and the fact that you consistently tie the shift in degree and the shift in scale between the ellipses as we move from one end to the other to one another, having them operate in tandem. This is spot on, as they both represent the same thing - they're manifestations of foreshortening, and convey to the viewer just how much of the cylinder's length is visible on the page, and how much exists in the "unseen" dimension of depth. And so, we wouldn't end up with a dramatic shift in scale, with far less of a shift in degree.

I do however want to warn you against one thing - I am noticing a fair number of cylinders in the set (although they are not even close to being the majority) where your side edges actually end up running parallel to one another on the page, rather than converging towards one another. We can see this in 60 for example, as well as 58, but there are quite a few others.

Be very careful with any situation where you deal with a vanishing point at infinity (which is how we get a lack of convergence for a set of parallel edges drawn on a flat page). Vanishing points only go to infinity when the set of edges they govern specifically run perpendicularly to the viewer's angle of sight - in other words, when they don't slant towards or away from the viewer. Given that we're rotating our cylinders freely and randomly throughout this challenge, it's fair to say we'd probably never have any cylinders snap to such a perfect alignment, and generally if we're doing so purposely, we should be cognizant of the reasoning behind it.

Before I move onto the next section of the challenge, I did want to mention that I don't fully understand the question you posed about the bottom part of your ellipses being rounder. For the most part they look pretty normal to me. I certainly don't expect students to be able to pull off perfect ellipses freehand right now (or at all during this course, which is why we encourage the use of ellipse guides as we get into more ellipse-heavy material, so students don't get distracted in dealing with less-than-perfect ellipses), but yours are generally better than most.

Ultimately, when it comes to your freehand ellipses, all you can do is:

• Be sure to engage your whole arm from the shoulder

• Use the ghosting method to ensure a confident execution

• Practice!

Anyway, continuing onto the cylinders in boxes, your work here is similarly well done. This exercise is really all about helping develop students' understanding of how to construct boxes which feature two opposite faces which are proportionally square, regardless of how the form is oriented in space - which is exactly what you were struggling with, and that is entirely what's expected. We get more comfortable with these matters of proportion not by memorizing every possible configuration and rotation of our boxes, but rather by continuing to develop your subconscious understanding of space through repetition, and through analysis (by way of the line extensions).

Where the box challenge's line extensions helped to develop a stronger sense of how to achieve more consistent convergences in our lines, here we add three more lines for each ellipse: the minor axis, and the two contact point lines. In checking how far off these are from converging towards the box's own vanishing points, we can see how far off we were from having the ellipse represent a circle in 3D space, and in turn how far off we were from having the plane that encloses it from representing a square.

You've been very thorough in the use of your line extensions, and while they're not perfect - and again, I would not expect them to be - that's not really the point. It's about inching closer, page by page, analyzing your results, and identifying how to change your approach for the next one. You're demonstrating a strong capacity for this, and in terms of what we can tell by eye (which is the only standard that really matters - we're doing all the analysis so we can see where there's room to improve, but in terms of drawing something that looks the way you want it to, it is the look of it that matters). This should continue to serve you quite well as you move into the next lesson.

So! I'll go ahead and mark this challenge as complete. Keep up the great work, though you may want to reflect a bit upon where you may be expecting more of yourself than is strictly fair.