One of the things I thought about while reading the chapter was the inside of solids. Slicing a solid does not reveal its interior, rather it makes more outside faces. We can assume that there is an interior, but we can never see it.
As I was reading about the slices, I couldn't help thinking about slicing fruit. When I was little, my mother used to cut fruits and vegetables in different ways to make it more fun and appealing to eat. She would cut either a banana or a cucumber at an angle, then turn it a little and slice again, making very strange shapes. Other times she would cut and oranges at different angles so the pattern of the inside sections would be different. That showed me that slicing the interior can reveal hidden properties like sections which can be seen in different ways. I was hoping to simulate some of these ways of slicing, but I haven't yet figured out the way to bring it in that wouldn't be messy.
A popular belief among artists is that a block of wood or stone actually hides a figure or a form, and the artist's job is to release that form from the external material that surrounds it. I have seen friends who are artists see the suggestion of a wrist and create the form around that point. I think it is a really interesting idea, but I don't know if I agree. I was reminded of something I read in a book, which I think was by Critchlow, called "Order in Space." It was about the interrelationship of different solids in space; how a cube can become a tetrahedron, etc. The book made enough of an impression on me that I would recommend it as a possible resource for this class.