Jumping in with the cylinders around arbitrary minor axes, your work here is by and large well done, especially in regards to the cylinders themselves, but in terms of your linework I have a few small reminders to hold to elements of Lesson 1 where you may have gotten a little lax in that regard.

Basically it comes down to these two reminders:

• Make sure that you're applying the ghosting method, in its entirety, to every mark you freehand. You're by and large pretty good at maintaining a steady hand, but I am still seeing very slight signs of hesitation in the minor wobbling of the lines. This often will happen when students get a little too comfortable and allow the markmaking process to fall back into their subconscious. That is certainly what students should be doing when it comes to their own work, but in this course we want to strive to do everything as intentionally and purposefully as we can, so those processes sink into our subconscious and influence the way we draw instinctually. Relying on those instincts here while attempting to train them however tends to result in issues, like where students will go from following the three distinct stages of the ghosting method and their individual priorities, to spending less time on the planning/preparation phases and compensating by investing more time into the execution - which is in a lot of ways the opposite of what the ghosting method requires. Also, the ghosting method applies to ellipses as well, as to any marks we freehand throughout this course.

• Be sure to draw through your ellipses two full times before lifting your pen. Similarly to the ghosting method, you're probably intending to do so, but you often fall short, drawing through the shape one or one and a half times, but rarely two full turns of the ellipse.

When it comes to the cylinder portion of the exercise, you're doing very well. You're varying the rate of foreshortening across the set, you're checking the alignment of your ellipses quite fastidiously and thoroughly ,and I'm seeing a fair bit of comfort in understanding how the changes in the cylinder's orientation impacts their foreshortening, and in turn the way in which that foreshortening manifests in the shift in overall scale as well as the shift in degree from one ellipse to the other.

Continuing onto your cylinders in boxes, you've kept up that thoroughness here and have done a similarly solid job. 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. We do this not by memorizing every possible configuration, 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.

In checking your line extensions as consistently and thoroughly as you have here, you've armed yourself with enough information after each page to assess and consider how you might adjust your approach to keep bringing those convergences in together. Over the course of the set, you've shown a really solid level of comfort with those convergences. There's certainly still room for improvement, but you're making excellent headway, and continuing in the right direction.

I have just one minor point to call out - when checking the minor axis lines, you tend to do so in the manner used for the previous section of the challenge, where we just draw a relatively short line to identify the minor axis. In this exercise, we need to be extending them all the way back so we can properly judge them against the other lines that converge towards the same vanishing point. Leaving them short isn't the end of the world, but it does leave more room to miss issues that could be avoided by simply extending them further.

Anyway, all in all solid work. I'll go ahead and mark this challenge as complete.