How to paint with 'rotational symmetry' (the symmetry of a playing card design)?

Hi.

I want to draw a design for the king, queen and jack of a deck of playing cards.

The typical design of playing cards features so-called 'rotational symmetry'. From what I can see none of the symmetry options for painting provide rotational symmetry, only direct mirroring.

Of course there are plenty of ways I can do it manually, but I'm wondering if anyone knows how to apply it in real time, automatically (like the other symmetrical painting options do).

What I want, if it's a bit hard to picture: if I have an empty rectangle and I paint a blob in the top right corner, I want that same blob to appear in the bottom left corner. Using the normal symmetry options the blob would appear in the bottom right (if using a horizontal axis) or top left (if using a vertical axis). The design needs to be symmetrical after rotating the rectangle 180deg.

Thanks.