The point of non-objective art is that there isn't one. Paint anything that comes to mind, including repeating patterns or sporadic shapes and colors. For example, you could follow in the footsteps of Mark Rothko, Kenneth Noland, etc. Like any other art piece, non-objective art speaks what the artist is thinking, but without the use of images, per se. Instead, non-objective artists use colors, shapes, blending, lines, and patterns to convey thoughts, feelings, and the like.

Lesson on Non-objective art