Starting with your cylinders around arbitrary minor axes, unfortunately you've run into a pretty major issue that was addressed in this reminders section of the lesson material - specifically the second point. In effect, by keeping those side edges of your cylinders parallel on the page, you're forcing the vanishing point that governs those edges running lengthwise down the cylinders to infinity - but this is not something we can simply choose to do, as it is dictated by the actual intended orientation of the cylinder. As explained in those reminders, since we're rotating our cylinders randomly in space, the likelihood that they will align as perfectly as that to the viewer's angle of sight (something that is explained primarily in Lesson 1's boxes lecture).

While this issue isn't present in all your cylinders (for example, 106 and 137 are beautifully done, and 132 has enough of a convergence to those side edges to be correct), it is present for the vast majority of them.

In addition to this - and I believe at least in large part because of it - you ended up drawing most of your cylinders with no foreshortening at all, which ultimately means that along with having no shift in the scale of your ellipses from one end to the other (which is what results in those side edges converging), you also tended to avoid a shift in their degree - and so in some of the few cases where you didn't force that VP to infinity - like 114 - you don't appear to have applied any change to the degree as we slide farther away along the length of the cylinder. The far end of that cylinder should be at least a little wider than the end closest to the viewer, but there it appears to be about the same.

I'm getting the impression that under the surface you are grasping elements of what's going on, but you kind of shot yourself in the foot by keeping everything so parallel, and it resulted in a lot of very weird configurations. Unfortunately this does mean that we'll be going through a pretty hefty number of revisions, although where I'd usually give a student a full 150 additional cylinders around arbitrary minor axes, I'm seeing enough suggestions of understanding that we'll limit it to 75.

Moving onto your cylinders around arbitrary minor axes, your work here is considerably better. 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 by and large applying these line extensions correctly, you're able to derive useful information from each page and apply it to the next. I did notice two main things to note:

• You tend to stiffen up with your ellipses when drawing them within the plane - this suggests that you're focusing too much on accuracy, and hesitating as a result. Remember, as discussed in Lesson 1's sections regarding mark making, confidence is always going to be our primary goal, with accuracy only ever being secondary to that. Be sure to leverage the ghosting method so you can invest your time in the planning and preparation phases, but ultimately push through the execution phase with confidence, and also be sure to engage your whole arm from the shoulder, especially with those wider ellipses. The ellipses in planes exercise from Lesson 1 can help focus on this particular issue more directly, so it might not hurt to include it in your warmups more frequently for a bit, just to get more comfortable in addressing that issue.

• Not really a mistake, but just something to note - the instructions for the line extensions don't include drawing lines between the contact points of different ellipses. Each ellipse gives us only 3 line extensions, one ideally aligning to each of the box's vanishing points. The only line that would run down the length of the cylinder for each ellipse would be the minor axis line. Additionally, choosing your colours based on which VP they align to can help in cases where we might accidentally end up with a box that is so stretched that its minor axis converges towards an entirely different VP - having it in a different colour will ensure that the mistake still stands out, so we can address it, without it going undetected.

You'll find your revisions assigned below.