[pbmserv] Re: Broadcast from jjartus via PBM Server

["Jan Kristian Haugland" <jankrihau@hotmail.com>]

Randall Bart wrote:

> 'Twas 04:04 PM +0000 on Saturday 3/6/2004 when Jan Kristian Haugland wrote:
> > I get 21,141 different configurations.
>
> I don't know how you calculated that, but it looks good.
>
> P(15,5,5,5) = 15!/(5!*5!*5!) = 756,756.  Adjusting for color replacement we 
> divide by six, adjusting for rotation we divide by three, adjusting for 
> reflection we divide by two, and get 21,021.  I know for sure that this 
> number is low, because a small number of substitutions, rotations, and 
> reflections mimic each other.  Your number is probably right.  How did you 
> calculate it?

Brute force on the computer. I generated all possible configurations
and counted those that could not become "alphabetically smaller" by
rotations, reflections or colour replacement. I should probably be able
to calculate it directly, but...

> > The game seems to be a distant relative to my game of Nineteen:
> >
> > http://home.no.net/zamunda/nineteen.htm
>
> That's one of them good versions of Nim I mentioned.

:-)

J K Haugland

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