Re: HyperCube (Diamond Explained)

In article
<Pin...@dcsun4.comp.brad.ac.uk>, "Carl R.
White" <crw...@computing.bradford.academia.unitedkingdom> wrote:

> On Tue, 10 Jun 1997, salesman wrote:

> ._____________________.
> |\\.                 /|\
> | \ \.              / | \
> |  \  \            /  |  \
> |   \  \.         /   |   \
> |    \.__\_______/____L____\
> |     |\. \_____/    _|_--""| 
> |     |  \L\.___L\.-" |     |
> |     |   | |   | |   |     |
> |     |  _|_|___|_|   |     |
> |__.==|="__\L____\|=._|     |
>  \    |    /       \   \    |
>   \   |   /         \.  \   |
>    \  |  /            \. \  |
>     \ | /               \.\ |
>      \L/___________________\|
> 
> I always thought the above was a 2D representation of the 3D
> representation of a 4D cube (hypercube), assuming there was a fourth
> directional dimension... :-)

> Carl R White   | e-mail...:                    crw...@-comp.brad.ac.uk

I've seen a variation of this in 3-D, that had the lines radiating inward
to form the inner cube's edges (don't expect me to ascii it). But yes, this
is a possible representation, but so is the one that started this thread.
Since it's theoretical, a hypercube could look like this, for all we know:

 :~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~-.
 |`.                         /~\~~~~~~~--.  `.      (At least it would explain
 |  `.                       \_/_______--'    `.     where the meat comes from.)
 |    `:========================================:
 |     | ,dP""8a "888888b,  d8b    "888b  ,888" |      FRM
 |     | 88b   "  888  d88 dPY8b    88Y8b,8888  |
 |     | `"Y8888a 888ad8P'dPaaY8b   88 Y88P888  |
 |     | a,   Y88 888    dP    Y8b  88  YP 888  |                               
 |     | `"8ad8P'a888a  a88a;*a888aa88a   a888a |
 |     |                ;*;;;;*;;;*;;;*,,       |
 |     |        _,---'':::';*;;;*;;;*;;*d;,     |
 |     |     .-'      ::::::::::';*;;*;dII;     |
 |     |   .' ,<<<,.  :::::::::::::::ffffff`.   | 
 |     |  / ,<<<<<<<<,::::::::::::::::fffffI,\  | 
 |     | .,<<<<<<<<<<I;:::::::::::::::ffffKIP", |
 |     | |<<<<<<<<<<dP;,?>;,::::::::::fffKKIP | |
 |     | ``<<<<<<<dP;;;;;\>>>>>;,::::fffKKIPf ' |
 |     |  \ `mYMMV?;;;;;;;\>>>>>>>>>,YIIPP"` /  |
 |     |   `. "":;;;;;;;;;i>>>>>>>>>>>>>,  ,'   |  
 !     |     `-._``":;;;sP'`"?>>>>>=========.   |
  `.   |         `---..._______...|<[Hormel |   |
    `. |                          `========='   | 
      `:====================================(FL):

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