folding squares..geometry SOLVEDO

[dolor]

When this net of six squares is cut out and folded to form a cube, what is the product of the numbers on the four faces adjacent to the one labeled 1?

[NotLKH]

5 is opposite 1

[dolor]

good show

[wossname]

144

I once did this with a hypercube, no sweat

[alkatran]

2*3*4*6=6*6*4 = 6*6*2*2=12*12=144

Is a hyper cube a 4 dimensional object? How is it represented?

Here's how I represent a cube on 2d, I'd love to see a 4d object.

[dolor]

Originally posted by alkatran
I'd love to see a 4d object.[

well, you'd be rich if you could, seeing as how we can't visualize objects in dimensions higher than 3d.

[alkatran]

Of course not (I knew someone would say that). But we can 'put' 3d objects on 2d surfaces, so we could put a 4d object on a 3d surface (and then on a 2d) to get .. a general idea, right?

[dolor]

Originally posted by alkatran
Of course not (I knew someone would say that). But we can 'put' 3d objects on 2d surfaces, so we could put a 4d object on a 3d surface (and then on a 2d) to get .. a general idea, right?

well, go ahead and 'put' it on a 3d object, but i doubt it would make sense. when you represent a 3d object on a 2d object, it is only possible because we are capable of understanding what it looks like in 3d (because we've seen it before). or at least that's what i think.

[Acidic]

http://www.geocities.com/CapeCanaver...hypercube.html
not too good, I'll try finding better ones.


edit:
http://www.mathematische-basteleien.de/hypercube.htm

[jemidiah]

Probably the easiest way would be to lock 1 dimension of the cube and simply represent it as a 3d object. You could make a movie (adding one more dimension, time) that would accurately show a hypercube. Time would corrolate to the 4th dimension of the cube, causing it to be a represenation of a four-d object (only because we actually have 4 dimensions )

[alkatran]

After reading that... wow.. A lot of it is just too hard to imagine. I liked the pics of the hypercube though.