Re: D=5

[Bob LaMontagne <rlamont@POSTOFFICE.PROVIDENCE.EDU>]

John - a picture is worth a thousand words - yes, your 4th figure is
what I call the box kite (with some bent sticks) and is exactly what I
had in mind. Gamow ended up with a picture that showed two 2-D
representations of cubes which were of different size, connected by
sticks at various angles to make it work in 2-D. Your picture correctly
shows them as identical copies of each other and is consistent with the
rules of the game (as I see them).

Bob at PC

"John S. Denker" wrote:

> Bob LaMontagne wrote:
> > If you go to the next level (4-D)
> > what you should see if you follow the
> > rules - which no one does - is a box kite!
>
> 1) A box kite is not what you "should" see.
>
> 2) You can't disassemble a box kite in four
> different ways as shown in e.g.
>   http://www.monmouth.com/~jsd/physics/gif48/tesseract-chop.gif
>
> 3) One of the "rules" is that your basis vectors
> should be linearly independent.  The only way
> you can get even close to a box kite is to choose
> two of the basis vectors in the same direction,
> in violation of this rule.