Starting with your cylinders around arbitrary minor axes, your work here is by and large looking pretty good. I am noticing some places where your far end is either narrower than the end closer to the viewer, or the same size (it should of course be wider, due to the degree shift aspect of foreshortening), but the vast majority of them show clear progression in the right direction. I have just a couple points for you to keep in mind:

• Be sure to always use the ghosting method for every mark you freehand - while I believe you're trying to hold to the core principles of this, it is definitely one of those things where it's easy to slip away from following through with all the steps for every stroke, and I think that might be the case here, where you're not necessarily as mindful of plotting out your start/end points (where applicable), and perhaps just not going through all the stages as specifically as you could.

• Similarly, while you should also be applying the ghosting method for your ellipses to ensure a confident execution (some of your ellipses were very confidently drawn, while others are more hesitant and wobbling, suggesting that you may be going back and forth between ghosting properly, and perhaps not giving yourself enough time to plan/prepare), also be sure to draw through the ellipse two full times. I'm seeing a lot of cases where you stop short of 2 full turns of the ellipse, suggesting that your intent is correct, but that you're not necessarily always as attentive to what action is actually being taken as you could be.

Always remember - we make every action, every choice throughout this course as intentional as it can be. That makes it very time consuming and tedious, but the goal is that by being so intentional and specific with our actions here, we push them into our automatic, subconscious behaviours, so that outside of the course we can draw without as much conscious awareness of it, while still performing those actions correctly. This leaves our cognitive resources to focus entirely on the what we wish to draw, rather than the how.

Continuing onto the cylinders in boxes, your work here is generally coming along well, especially looking further into the set. 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.

As you are applying the line extensions as instructed, you're arming yourself with the appropriate analysis and understanding of where your approach can be adjusted to continue yielding better results. Earlier on you were definitely struggling - your linework was sloppier, and in general you had more significant discrepancies both with the boxes' convergences, and with the ellipses' line extensions in relation to them, but you appear to have made a solid effort to address those issues as they revealed themselves.

Aside from the same points about ghosting and whatnot I raised for the other section, I have just one small point to recommend. Make sure that when you're applying the line extension for the ellipses' minor axes, that you are extending them all the way back, like the others. What we're doing here is not the same as the previous section, where we were only identifying the minor axes. Here, if we're not extending them all the way back, it becomes more difficult to compare them with the boxes' lines, thus making it more likely that you'll notice issues relating to that particular element.

Anyway, all in all you've done well. I'll go ahead and mark this challenge as complete.