On 12/14/2011 1:27 PM, DJ Delorie wrote:

Dan writes:
Thanks. I took a look at the postings on r.c.woodturning. From DJ's
equations I see that there are additional issues with N = 3 that I had
not considered.

At N=3 the angles are all leaning the "other way" so the sin/cos stuff
doesn't work out, plus you measure off the other side of each segment.

Yes. When I first looked at your display for the N=3 case, I wondered why
you had reversed the orientation of the segments. Then I realized that
you really had not changed the orientation, instead the angle had swung
past 90 degrees and that appears to change the orientation. (And, as you
said, that also changes which edge of the segment is the 'length'.)
Thanks for adding to my education.


I tested N=2 also but there were infinities. I suppose if you can't
figure out the math for N=2, you probably shouldn't be using heavy
equipment with sharp objects.

Yes. :-)



Dan