For the past month or so, Sean has been fascinated with 2-dimensional vs 3-dimensional shapes. He's also been drawing tesselation of shapes. Brian was the one patiently teaching him about tesselation.
He's also asked numerous times for me to teach him to draw spheres, cones, cylinders, cubes, cuboids, pyramids and lately ellipsoid after he asked what a 3-d oval would look like.
Today I was stumped when he asked if a point was one-dimensional. We searched the net and I read that a point was zero-dimensional and lines are one-dimensional.
Brian explains to me what he understands about 1D, 2D and 3D:
"We are in a 3-dimensional world and everything, except shadows I think, is 3-D in our world, but what we view is just 2D. In a 2-dimensional world, what we can only see is a slit or a line, eg if you cut a very thin line on a piece of cardboard and look through it, that's how much you would see in a 2-dimensional world. For a one-dimensional view, you need to take a very very sharp pencil, and use it to make a hole in a piece of paper, that's how much you'll be able to see in a one-dimensional world. Basically, a point is what we see in a one-dimensional world, a line is what we see in 2-dimensional world and a plane is what we see in the 3-dimensional world."
I'll summarise if the above is true:
A point is zero-dimensional;
A line is one-dimensional;
A plane (any shape we draw) is two-dimensional;
And the stuff in our world are three-dimensional.
Please correct us if this is wrong. I think I'm gonna confuse my boys more and more with my incompetence in Science.
Sigh...I still have to find out how to answer Sean's other question, "What does 4-dimensional mean?"...Hellllpppp!