But computers render triangles! That's what they do.

Indeed. What I meant was not to abolish triangles, just to consider a voxel an elementary object, not as a cube with 6 faces that can have different colors on each side. My voxels are intended to have only one color overall.

I decided, that YEAH, I'm going to use OpenGL. But in the meantime, while I'm getting used to it, I made a terrible renderer, just to show how I want the result to be. It's pretty unoptimised, but it works.

As you can see, each voxel have only one color, but it's possible to have a smooth shading. What I did there is creating a rgb gradient. To demonstrate.

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