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Actually, no - simpler:
123
4O5
678

There, you have 8 connections, all directly touching the central
character, all of the same size.

 - Sai

On 1/29/06, Sai Emrys <[log in to unmask]> wrote:
> Arbitrary in my use: any node can be connected to any number of other
> nodes. (assuming it's on the node-and-connection sort of style, which
> it need not be if it has a fusional morphology)
>
> I still don't see how you can say it's 6. Could you please show me the math?
>
> I'm not sure about cases where 'neighbors' are directly touching, but
> it's obviously false if they can be simply connected by lines. E.g.:
>
> [paste this into a notepad w/ an equal-width font]
>
> 1 2 3
>  \|/
> 4-O-5
>  /|\
> 6 7 8
>
> ... and that's not even using multiple 'layers', or variable length
> connecting lines, branching ones, or anything like that.
>
>  - Sai
>