For tonight, employ some random procedure to sketch a zigzag pattern across the piece of graph paper you got in class. Suggestions include using a coin and moving up a square on a heads and down a square on a tails, or using your calculator to generate random integers and moving up on an even number and down on an odd. Bring your completed zigzag in tomorrow for a quick explanation on the beginnings of chaos!
For some more interesting Tales From the Fourth Dimension, check out the following:
- The Adventures of Fred, Bob, and Emily – a detailed look at how the lives of a 2D (Fred), 3D (Bob), and 4D (Emily) creature interact with each other. See especially the “World” section, where the author, Garrett Jones, imagines how wheels, water, and war would work in these universes.
- And He Built a Crooked House – a short story by “Big Three” science fiction writer Robert A. Heinlein about an eccentric architect who designs a house in the shape of an unfolded hypercube. An earthquake hits, and the house folds back up on itself to concerning results (see also this student film version of the story)
- Some Notes on the Fourth Dimension – some animations and movies showing the geometry of the fourth dimension, including the ones we saw in the Flatland special features and the “folding” hypercube we looked at in class