Nested loop to render tiles in a grid
I think it is mostly fine as it is. I would declare variables at the level they are actually needed, not before. Also, xAxis = TILE_WIDTH_AND_HEIGHT + xAxis; can be written as xAxis += TILE_WIDTH_AND_HEIGHT.

i and v are not very good variable names (too short, and they don't fit together). What does v even stand for? vertical? In that case, I would use vertical and horizontal. 

TILE_WIDTH_AND_HEIGHT would be shorter as TILE_DIMENSION.

You could restructure it like this if you want to:

    for (int y = 0; y &lt; 3; y++) {
        for (int x = 0; x &lt; 3; x++) {
            shapeRenderer.rect(SPACE_BETWEEN_TILES + TILE_DIMENSION * x, SPACE_BETWEEN_TILES + TILE_DIMENSION * y, 10, 10);
        }
    }


The performance loss from transforming additions to multiplications should be fine in most cases.