David B. posted a nice
puzzle the other day, asking you to imagine cutting a plane through a cube
in such as way as to create a regular hexagon. I'm sure you had fun with that one.
I have a couple of extra credit questions:
- Can a cube be sectioned in such as way as to create a regular pentagon?
- It appears the hexagonal section has the greatest area of all possible
sections. Can you prove it?
Enjoy!