Re: D=5

[Ludwik Kowalski <kowalskiL@MAIL.MONTCLAIR.EDU>]

"John S. Denker" wrote:

> The other evening I was telling one of my neices
> about hypercubes.  Start with a D=1 object, namely
> a line:
>          _______
>
> Then duplicate it, andconnect corresponding ends.
> The result is a D=2 object, namely a square:
>             _______
>         |       |
>         |       |
>         |       |
>         |_______|
>
> Then duplicate that, and connect corresponding corners.
> The result is a D=3 object, namely a cube:
>                             _______
>           /|      /|
>         /        / |
>         |  |    |  |
>         |  |____|_ |
>         | /     | /
>         |_______|/
>
> Now keep going.  Duplicate that, and connect corresponding
> corners.  I'm not going to draw it using ASCII art, but
> it's not very hard to draw it using pencil and paper.
> If you can project a D=3 cube onto D=2 paper, you can
> perfectly well do the same for a D=4 hypercube.

What is drawn above (sorry I was not able to preserve JohnD's
ASCII picture of the cube, even after switching to Courier font)
is a projection of a D=3 cube onto D=2 screen. How does it
help me to figure out the D=4 structure? My ability to visualize,
or to represent with sticks, etc. ends at D=3. Am I the only one
to suffer from this limitation in this company?
Ludwik Kowalski