Given any two polyhedra of equal volume, is it always possible to cut the first into finitely many polyhedral pieces which can be reassembled to yield the second?

Question

dangerousjesse · Answer

I said no
If P is cut into two polyhedral pieces P1 and P2 with one plane cut, then $D(P) = D(P1) + D(P2).$
If P is cut into n polyhedral pieces $P1,...,Pn$, then $ D(P) = D(P1) + ... + D(Pn)$

dangerousjesse · Answer

Et cetera

dangerousjesse · Answer

(I cheated, I just want to know if it's accurate)

perl · Answer

are you reading a solution manual?

perl · Answer

what does this mean
"If P is cut into two polyhedral pieces P1 and P2 with one plane cut, then "

dangerousjesse · Answer

No, I'm using Wiki http://en.wikipedia.org/wiki/Hilbert%27s_third_problem#Dehn.27s_answer

perl · Answer

haha, never copy paste what you do not understand

perl · Answer

i can demand an explanation and call your bluff

dangerousjesse · Answer

It's extra credit.. I understand none of this, or at least very little ;P

perl · Answer

join the club dangerous Jess

perl · Answer

just dont pretend to be in 'that' club, people who understand the article

perl · Answer

its like pretending to have climbed mount everest

perl · Answer

yeah, it was pretty cold

dangerousjesse · Answer

Eh, I remember that seventh day. Colder than the first.

perl · Answer

sorry i didnt mean to be rude, i was being wry

perl · Answer

this hat is not sold in most stores