Hi Dan,
I posted the question to 4 math groups, and I got
replies from 2 of them. The answer is 6,922. My
write-up turned into 2 new Word files. Let me know if
you would like me to e-mail them to you off list. I
think you would find them quite interesting.
OCTA-TETRA Dan

--- danradin <DanRadin@...> wrote:

> That's an interesting question. I'll be curious to
> hear what you find
> out and/or figure out.
>
> --- In platonicsolids@yahoogroups.com, Daniel Suttin
> <homespun4homeschoolers@...> wrote:
> >
> > I recently attended a teacher workshop on math
> > manipulatives. One of the activities was to
> figure
> > out how many geometrically "unique" ways 8 cubes
> can
> > be arranged with face-to-face connections. I have
> > begun to catalog my results including the chiral
> > (mirror-image)examples.
> > My question is: Does there exist any kind of
> > theorem for such an exercise that gives the total
> > nuber of possibilities?
> > Will appreceiate any responses.
> > Dan Suttin




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