Well, the Level I answer is 4, but with a modicum of thought you get the Level II answer, which is 6.
Given that I played rugby yesterday and am thus not at my neuronal best, I’m going to go out on a limb and say that I’m probably missing a Level III answer, or even a Level IV. So it goes.
This one will haunt your dreams. Especially if I tell you how many pieces Ken Brown can cut the torus into.
Well, Dave? Are you going to let the other shoe drop on a lonely experimentalist?
By torus I mean a donut or the answer is silly.
Alas, I was hoping the comments would finally beat my donut cutting skills.
Well, the Level I answer is 4, but with a modicum of thought you get the Level II answer, which is 6.
Given that I played rugby yesterday and am thus not at my neuronal best, I’m going to go out on a limb and say that I’m probably missing a Level III answer, or even a Level IV. So it goes.
Can’t be more than 10, or?
By torus, do you mean “object with the topology of a torus” or “doughnut”?
See Sloane’s sequence A003600 for the general answer for n cuts of a genus-1 doughnut. It’s an old Scientific American puzzle.
http://ladies.xp2001.org/pantyhosegirlsphotosw/ delectablygobblingnoticed