Internet Math Challenge
Deadline for solutions: Friday, 15 November 2002
Why confine your geometric imagination to the x,y-plane?
Open yourself to the freedom of three dimensions!
This week's puzzle requires some spacial thinking. It isn't too
hard, but it might stretch your 3-D thinking muscles.
Suppose that somewhere in 3-space there is a (two-dimensional) square of side
length 1 floating around. What is the volume of the set of all points that
lie within distance 1 of this square?
Hint: try breaking this solid shape up into more familiar pieces.
After this, maybe we should move on to the fourth dimension...
