First, set up your stock size and draw a rectangle of an appropriate size:

Then draw in a rectangle of a suitable size to chop off the end if rotated:

Then work out the math to determine the angle of rotation — in this instance we want six segments, so:

```
360 / 6 (number of segments) / 2 == 30 degrees
```

(you have to halve things because each angle is made up of 2 board ends)

duplicate the geometry and flip along the vertical axis:

Drag each copy to the appropriate corner:

Select the rectangle for the board and then shift click on a cutting rectangle so that the latter is the key object and has a dashed appearance:

and choose Boolean Subtraction:

(if using a version which doesn’t tidy up after this operation, delete the extraneous left-over geometry)

repeat for the other part:

Verify the fit by duplicating and rotating 60 degrees and repeating this until one gets all the way around: