Machining angled pockets without a rotary table FAST!

Inspired by Abom’s latest video, I wanted to demonstrate that this type of pocket can also be machined quickly and accurately, if you don't have a rotary table.

I used the traditional setup with a fixed and a moving pin to establish the angle and position. In this example, I left a 0.05 mm (0.002") clearance all around, though achieving a tighter fit is quite straightforward.

https://youtu.be/0rNipA1VBao?si=ZqDg1rhyHEbvWHk5

I would be interested is seeing your math for the cutting paths.
Probably straight forward based on the radius of the cutting tool and radius of the corners, but would still be interesting to see.

There is a diagram in the video; it's probably only a few seconds long. If you pause it, hopefully, it has all the info you need.