- Returning homework, 3.2: Graded 6 and 20.
- For Monday, 3/16: Please read section 4.3 (the Sexiest Rectangle!)
- Originally Due Monday, 3/16: Homework, Section 4.7: #5, 6,
7, 9, 10, 12; and do a really good job with #19.
Let's make it due on Wednesday, 3/18.
- Last time:
- What thoughts and questions do you have about the fourth dimension? What is the "fourth dimension"? Where have you already encountered the fourth dimension?
- Time as the fourth dimension:
- We talked about shadows in two-dimensions. What would a shadow be like in one-dimensional space?
- Sweeping out additional dimensions ("inked points")
- point (imprisoned!)
- point -> line (imprisoned by two points, each on one side)
- line -> plane (imprisoned by a circle)
- plane -> three-space (imprisoned by a sphere)
- three-space -> the fourth dimension!
- Today: miracles and angels
- With a partner: some Drawing
- Projections of a pet
- Two-dimensional pets
- Slicing and dicing: Problems II.6, II.7
- What if there were creatures confined to two dimensions? How would
we mess with their heads?
- Safes aren't safe (p. 312)
- 3-D surgery (p. 311)
- 3-D rope tricks (p. 313)
- How might a cube dipped into two-dimensional space appear to creatures stuck in two-space?
- Now: what if there are four dimensional creatures living with us?
How might they mess with our heads?
- Safes aren't safe!
- Miracles: 4-D surgery
- Angels
- Hypercubes (or Tesseracts)
- Slicing and dicing: slicing and dicing a cube.