5. p. 322 # 9 is a pretty good example.
6. Draw a box that a 2D person couldn't look inside, but a 3D person could
6 1/2. Which of these two pictures would make the better 2-D person? Why?
4D vs 3D: A fourth dimensional person can look at something 3-D and see all of the parts of it, even the inside. From the fourth dimension you could see inside someone's body, or backpack or inside a closed box without opening it. A fourth dimensional person could also move things in a direction that goes out of our 3-D univers, so they could make part of a string seem to disappear without breaking it.
I could ask a very specific question about something like this:
1. How would your backpack look different to a 4-D person?
2. Could a 4D person take a memory chip out of the computer in our classroom without opening the case? (explain)
or I could ask a very general question:
4. Explain something that would look different to a 4D person, and how it would look.
3D vs 2D: A 3-D person can see the inside of a 2D object. If there's a shape like a square, a 2D person could see the edges of the square, but not the inside (the face). A 3D person can also put things into or take things out of a 2D cage or box without opening it
Some questions I could ask are:
5. p. 322 # 9 is a pretty good example.
6. Draw a box that a 2D person couldn't look inside, but a 3D person could
6 1/2. Which of these two pictures would make the better 2-D person? Why?
1D: a 1D universe is really boring because you can only go forwards and backwards. You can only see things right in front or right behind you. If you were a 1D person there would probably be a lot of your universe you couldn't see or get to.
Some questions I could ask are:
7. If you were a 1D person, how many other 1D people could you see directly?
8. describe what a 1D universe is like
You can see an illustration (the best you're likely to get) on page 315 near the bottom of the page. With a little care, you should be able to figure out how to sketch it well enough to count vertices and edges. There are 16 vertices and 32 edges.
The question I am most likely to ask is:
9. Tell how many vertices and edges a 4D cube has. Tell how you know.
Here are answers to the more specific questions