Starting with the cylinders around an arbitrary minor axis, there are a few things I want to call out but first lets talk about all the things you did well:

• you're doing a great job of checking for minor axis discrepancies which is important to ensure you do not plateau in that area.

• your first 50 cylinders had little to no convergence, effectively running parallel to one another. However It seems like you caught on and started experimenting with the rate of foreshortening even more afterward so I'll only be looking through those instead.

The first thing that stands out to me is how small your cylinders are which is making it more difficult than it needs to be. The main purpose of these exercises is to get you to solve spatial problems using the full extent of your shoulder. Drawing small limits us from doing that, making the process clumsier in the end.

Moving onwards, the reason why we ask for varied foreshortening comes down do the ways in which foreshortening manifests itself on the forms we create. It does so through the shift in scale (where the back end is smaller than the end closer to the viewer) and the shift in degree where the farther end is relatively wider. This is something students seem to understand not consciously but on a gut-feeling level, and others have trouble grasping the concept that these shifts occur in conjunction with each other.

A dramatic shift in degree with minimal shift in scale tells the viewer two contradictory things: that the length of the cylinder exists in the unseen dimension of depth, and the the length visible on the page is all there is. Similarly, a cylinder with a narrow front face but had dramatic side edges tells us that the front is facing away from us and the side is also facing away from us. Both can't be true, so we must ensure that both shifts exist together.

Since you've held it together and followed the instructions, I won't make you redo this section. Just make sure to draw bigger moving forward.

Looking through your cylinders in boxes there is one minor thing to address but first I'd like to discuss what the point of this exercise is.

What we're trying to do here is develop our understanding on how we construct our boxes to have proportionately square faces regardless of the box orientation. To do this, we don't actively memorize every single configuration but instead we subconsciously develop that understanding through repetition and analysis.

The box challenge was all about developing a stronger sense of how to achieve more consistent convergences by analyzing the line extensions. Here, we're just adding three more sets of line extensions: the minor axis lines (which also happen to be one of the vanishing points), and the two contact points. We can check how far off these are from the box's vanishing points and this helps us determine whether the ellipse represents a circle in 3d space, and in turn how far off the plane was from representing a square.

As you can see in this diagram, each set has the box's own extensions but for the cylinder part:

• The minor axis lines are drawn separately for each ellipse marked in red

• In blue, there's another pair of extension lines which are the contact points that exist for each ellipse.

• The same applies for the contact points in green.

I'm noticing that you're not lining up your side edges correctly. It's not a huge problem since the core focus of this exercise was to develop a stronger sense for constructing our boxes to have proportionally square faces and in order to construct your cylinders in boxes properly, you'll just have to do what you did initially on your cylinders in arbitrary minor axis. It's not a huge change but I do recommend you look more into that moving forward. Feel free to move onto the next lesson.