On Wed, 3 Jan 2024 at 23:52, andy pugh <bodge...@gmail.com> wrote:

> x'= Dm/2×cosØ −2×e×cos(2Ø)+e×cos(4Ø)
> y'= Dm/2×sinØ +2×e×sin(2Ø)+e×sin(4Ø)
>
> Plotted out this is very close to the shape that I had but differs by
> about 30 microns at the worst spots.
>
> The good news is that this is very easy to convert to either XY
> offsets for boring, or a radius for computed offset on a lathe as it
> is already in terms of spindle angle Ø.

I was wrong here. The Xi angle is a generator only, it gives you x,y
points but the angle is _not_ the centre angle, so it can't be used
directly as the spindle angle.

I explain this all in my recent YouTube video,  with an animation of
how the generator works.
https://youtu.be/YDxyNChCILU?si=1kMJ5d7FZ9qKFlAl

-- 
atp
"A motorcycle is a bicycle with a pandemonium attachment and is
designed for the especial use of mechanical geniuses, daredevils and
lunatics."
— George Fitch, Atlanta Constitution Newspaper, 1912


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