>Well... if we can represent 3D objects into a 2D device, the same can be
>done by 4D objects into a 3D device. The problem is that we identify those
>3D objecte (on a 2D device), but we have never seen a 4D object... wow...
How to draw a 4D cube in 3D:
- Draw a 3D cube with corners ABCD EFGH
- Draw a smaller 3D cube with corners A'B'C'D'E'F'G'H' inside the first
- Draw lines between A and A', B and B' etc.
- voila
It's a bit hard to realize in e-mail, so I'll illustrate it by creating
a 3D cube out of a 2D cube. It's completely analogue:
A.--------.B Start with ABCD, draw A'B'C'D',
|\A' B'/| draw lines between A and A' etc...
| +----+ |
| | | |
| | | |
| +----+ |
|/C' D'\|
C'--------'D
A 4D sphere crossing our 3D world could be identified by seeing a
spot appearing out of nowhere, which grows into a large sphere an then
shrinks again until it disappears. Why? Imagine a sphere (3D) crossing a
sheet of paper (2D) and look what happens on the paper: a spot appears,
growing into a large circle (2D cut of a 3D object) and shrinking again
to a small disappearing spot.
In this way you could imagine how 4D objects would look like.
Eric (always happy when there's some math to explain :-))
****
MSX Mailinglist. To unsubscribe, send an email to [EMAIL PROTECTED] and put
in the body (not subject) "unsubscribe msx [EMAIL PROTECTED]" (without the
quotes :-) Problems? contact [EMAIL PROTECTED] (www.stack.nl/~wiebe/mailinglist/)
****
