Good point I have rotated the problem. This doesn't cleanly solve the -1,0,1 problem.
The circular number system will solve the two number average if the negative number(s) 
are always normalized positive (((-179 + 360) +179) / 2) MOD 360 . This will not work 
for averaging three angles.

w..
 

Howard Winter wrote:
> 
> Walter,
> 
> On Thu, 16 Sep 2004 08:56:46 -0400, Walter Banks wrote:
> 
> > The problem is the discontinuity in the number system being used. Creating a continuous wrap around number
> system representing the compass as 0 to 179 180 -179 to -1 makes all of the averaging problems go away.
> Conversion of negative numbers requires a simple add of 360.
> 
> I think you've just shifted the problem 180 degrees:  average of -1 and 1 is 0, which is correct.  But the
> average of -179 and 179 is also 0, which is wrong (should be 180 or -180).
> 
> Cheers,
> 
> Howard Winter
> St.Albans, England
> 
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