Jumping right into the form intersections, by and large you're doing pretty well as far as the intersections go. At this stage we find it entirely normal for students to run into issues with those intersections that involve curving surfaces, while generally being more confident with those with straight edges. You're definitely past that mark, though there are areas where the curves still give you trouble, as shown on the notes I've drawn on some of your pages here.

When it comes to navigating the curving surfaces (and the exercise in general), the key comes down to focusing on the surfaces themselves, and considering how each one sits in space. You are doing this to a point, but there are cases where - for example, the corner I pointed out on the bottom half - where you may not have been thinking as much about where the shift in trajectory would actually fall. This diagram may help by exploring how to think about these intersections, and we'll revisit this exercise as part of Lesson 7. As it stands, you're progressing as expected, but you will want to keep working at it to keep solidifying that understanding.

Continuing on, one thing to keep in mind when it comes to the difficulty of building up all of the lines are the notes on which tools we permit students to use for this lesson, as noted here. The key takeaways include:

• You are permitted to use a ballpoint pen. You'd likely find this to be much easier to deal with, given that ballpoint can allow you to build up more gradually, whereas fineliners force you to choose between full black and full white, with nothing in between.

• In the same point, we do advise that using a different pen for a clean-up pass should still be avoided. In your case while you didn't switch to a different pen, you did end up employing a sort of "clean-up pass" approach to separate your object from the construction lines - most notably in the nerf gun, which we still want to avoid. You can read more about that in these notes from the form intersection instructions. While your use of it didn't fall into the usual concerns we have surrounding that approach, it still would have been much better to leverage line weight - specifically with a focus on clarifying overlaps rather than applying it more broadly as you tended to in other constructions. This video from Lesson 1 goes over thus in more detail.

Now as a whole, your work in this lesson is very well done. You've clearly pushed yourself quite far to prioritize the core principles espoused throughout this lesson, which largely center around the idea of precision. Precision is often conflated with accuracy, but they're actually two different things (at least insofar as I use the terms here). Where accuracy speaks to how close you were to executing the mark you intended to, precision actually has nothing to do with putting the mark down on the page. It's about the steps you take beforehand to declare those intentions.

So for example, if we look at the ghosting method, when going through the planning phase of a straight line, we can place a start/end point down. This increases the precision of our drawing, by declaring what we intend to do. From there the mark may miss those points, or it may nail them, it may overshoot, or whatever else - but prior to any of that, we have declared our intent, explaining our thought process, and in so doing, ensuring that we ourselves are acting on that clearly defined intent, rather than just putting marks down and then figuring things out as we go.

In our constructions here, we build up precision primarily through the use of the subdivisions. These allow us to meaningfully study the proportions of our intended object in two dimensions with an orthographic study, then apply those same proportions to the object in three dimensions, and you've leveraged this very effectively throughout your work here.

When it comes to what you said about your remote control, at first from what was written I assumed that you'd opted to go with less precision here (defining groups of buttons, then perhaps estimating their positions within those groups), and so I was ready to use this as a point of critique, but looking at how you actually approached the problem, you nailed it. You are absolutely correct - you can break up the plan into separate sections with their own underlying sub-subdivisions, which helps you to avoid the specific divisions from one section to bleed over into areas where they're not relevant. This allows you to maintain the full precision of laying down the footprint of each button, but with much less overall complexity. ... not that you didn't still have to deal with a ton of complexity here, but it certainly could have been much worse.

Since that opportunity to provide further critique was a bust, I have only a few minor points to call out:

• For your coffee mug, your approach is entirely correct (the proportions are off but that's not actually a problem as we don't get into how to develop the proportions across multiple dimensions of space until Lesson 7), but you definitely could have gone one small step further and applied curves to the straight edges you'd built up. Generally the mistake people make is that they jump into the curves too soon, without the appropriate scaffolding. In this case, you set up the scaffolding, but didn't apply the curves, which is much less of a concern, but still worth pointing out.

• Now this one's more of an opportunity to provide extra context/information, but when it comes to the black bars we use in the bluetooth speaker demo (which you carried over into your beer can construction), the logic behind those is that since the core structure (a box) doesn't traditionally have rounded corners, using them helped to reinforce the roundedness of the curves. Simply rounding it out on the construction wasn't quite giving a clear enough impression, so this kind of hatching helped. In the case of your can however, since it's already a cylinder, it definitely would have been enough to stand on its own, so the hatching wasn't really required.

Anyway! All in all, solid work - although I definitely would recommend using a ballpoint pen for lesson 7, where the construction lines only get more complicated. I'll go ahead and mark this lesson as complete.