On Sunday, January 19, 2014 8:46:37 AM UTC-8, Joseph Bento wrote:
>
> >   Might it be as easy as reversing the grids?  I've never tried.
>

Correct. A dekatron actually has 30 cathodes. 10 of them are separately 
pinned-out, so that the counting function is available externally.
10 cathodes are connected to a single pin, call it group1
The remaining 10 cathodes are connected to group 2.
The cathodes are arranged radially, something like this:
Cathode 0
Group 1
Group 2
Cathode 1
Group 1
Group 2
Cathode 2.

All cathodes connect to ground via a resistor. The dot will "follow" the 
path of least resistance. To make it move, group1 is pulled low, and then 
group 2 is pulled low. Then group1 is released. Finally, group 2 is 
released and the dot moves to the next cathode. To reverse the direction, 
pull group 2 low, then pull group1 low, then release group 2, then release 
group 1

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