How to render a GeomPlane

Greetings to all!
I’ve got a bit of a “dummy” question: I would like to render the GeomPlane. The plane is defined by the for “plane equation” numbers. As probably most people, I would like to have a visible gound, so I had the idea to create a big quat array inside the rendering part which vertices intersect the defined plane. Unfortunately I ‘mentally’ got stuck in the 3d math stuff that is needed to calulate the 4 points in the plane.
Does somebody have a simple idea how to calculate the plane vertices for rendering? Certainly most of you are using a visible ground, how do you visualize the ground? Is there another simple trick I could use?

Greetings,
Marcus

This is a non-trivial problem unless your plane is a standard x-y, x-z, or y-z plane, in which case you just need to pick four boundary points in the plane (e.g. (x, y, 0.0f), (-x, y, 0.0f) (-x, -y, 0.0f) (x, -y, 0.0f)). If you have a “non-standard” plane, then you can try rotating points from a “standard” plane into the desired plane.