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If you were the Sphere in Flatland, how would you convince the Square that there is another dimension?

2007-06-07 04:31:12 · 11 answers · asked by confused 3 in Science & Mathematics Mathematics

11 answers

I've never read Flatland so I don't know how much knowledge of mathematics the square has, but if the square knows how to work with vectors:

Tell him to treat two of his adjacent sides as 2-dimensional vectors, and to take their cross product. He'll notice that the resulting vector looks like the zero vector to him. But he knows that two perpendicular vectors can't produce the zero vector under a cross product. Therefore he must conclude that the vector has a component in some dimension other than the two he can see.

2007-06-07 04:50:23 · answer #1 · answered by TFV 5 · 1 0

By passing through Flatland and allowing Square to see how I increase in size, then decrease in size, and finally disappear.

But since this is so far out of Square's ability to perceive, Square would not believe.
.

2007-06-07 11:38:07 · answer #2 · answered by Robert L 7 · 2 0

This is why you find science squares instead of business squares. A science square would see things like disappearing but still there (as evidenced by his voice) and his ability to change size and enter locked rooms as proof, however difficult to believe, of a third dimension.

2007-06-07 11:52:26 · answer #3 · answered by TychaBrahe 7 · 2 0

How about taking another square, and spinning him around real fast so he looks like a cylinder. Maybe the first square would see the error of his way and be converted.

2007-06-07 11:43:54 · answer #4 · answered by Dr D 7 · 0 0

If I were a sphere in Flatland, I would be a circle and wouldn't be there, so there wouldn't be this problem.

2007-06-07 11:35:04 · answer #5 · answered by rdnck_grl_ms_007 3 · 2 1

There's a book something like this. (It's an inter-dimensional love story :P )It's really bizarre to think about! I don't know if you could explain it, that's why we don't know of any true fourth dimension.

2007-06-07 11:36:41 · answer #6 · answered by Info Retained (Leuschus Monk) 2 · 0 0

i'll make or ask the square to rotate about its diagonal.

2007-06-07 11:44:02 · answer #7 · answered by ? 4 · 0 0

What are you talking about????

Kelsey

Ps: Geometric shapes cannot send you to jail.

2007-06-07 11:39:10 · answer #8 · answered by Kelsey Joy 2 · 1 0

Foolish earthling.

2007-06-07 11:34:17 · answer #9 · answered by Anonymous · 0 2

kick him in the triangles

2007-06-07 11:36:23 · answer #10 · answered by wasteofletters 3 · 3 2

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