| T.R | Title | User | Personal
Name | Date | Lines |
|---|
| 1459.1 | is this meant to use a program to solve? | SMAUG::ABBASI | | Wed Jun 19 1991 02:17 | 13 |
| i think it is hard to this without a computer program, where you
try different cutting/glue back different combinations of pieces
untill to get 3 pieces identical, i assum offcourse we are allowed
to glue back different pieces in the process.
this is then some what similar to problems where you are asked to
end up with certine quantity of liquid in one container of some size
given you have one or more empty containers on the side to use.
this is easy to see through the whole process if the number of STEPS
is small (around 10), but if one has to do many hundreds of steps,
i cant see how to do this other by brute forces search method.
/nasser
|
| 1459.2 | No program will work | AGOUTL::BELDIN | Pull us together, not apart | Wed Jun 19 1991 13:14 | 9 |
| No, the "point" is that the center can only be in "one" of the three
sections. So the normal pie-shaped segments won't work, because they
all intersect at the center. This (like many of the counter-intuitive
problems) is a topological problem. Such problems require very careful
attention to what you do with the boundaries of the pieces and so on.
No digital computer program has enough precision to handle these
issues. The techniques used are pure mathematical reasoning.
Dick
|
| 1459.3 | I can do it almost everywhere ... | DECWET::BISHOP | F. Avery Bishop, back in the US for now | Mon Jun 24 1991 20:26 | 12 |
| > No, the "point" is that the center can only be in "one" of the three
> sections. So the normal pie-shaped segments won't work, because they
> all intersect at the center. This (like many of the counter-intuitive
> problems) is a topological problem. Such problems require very careful
> attention to what you do with the boundaries of the pieces and so on.
> No digital computer program has enough precision to handle these
> issues. The techniques used are pure mathematical reasoning.
But what's a set of measure zero among friends?
-fab
|