Andy has already done that..

https://youtu.be/fo7SwanH50I

On Mon, Jul 13, 2020, 8:11 PM Gregg Eshelman via Emc-users <
[email protected]> wrote:

> Running it like that should make it possible to cut teeth on thread taps
> with relief. Thread it 'lumpy', mill out most of the chip grooves, harden
> then grind to sharpen. Used to be mechanical drive attachments for some
> lathes to move the cross slide in and out for cutting threads for taps.
>
>     On Monday, July 13, 2020, 11:59:28 AM MDT, Chris Albertson <
> [email protected]> wrote:
>  Actually making a hex head on the lathe would best be done using a
> microcontroller.  FPGAs can compute trig functions but I think the method
> used is to first implement a "soft CPU" and then run code written in C that
> uses math.h  That is a silly-expensive why to replace a $5 STM32 chip.
>
> But really, the Lathe spindle does not run so fast and you can write this
> code as a HAL component that runs in the Servo loop.    I wanted out how I
> would do this last night and was stumped on the math until I remembered the
> law of cosines and "SAS" triangle problems from some class I took in the
> 10th grade.  Look those up on Wikipedia and then it is not hard to
> computer the cross slide position as a function of spindle angle.
>
> The hard part is getting such a good cross slide setup with no play of
> backlash
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