Psychedelics actually really do allow you to see crude fractals, though. I remember on LSD once, I experienced a "conceptual" 3D fractal -- I allowed to entertain the notion of a hypothetical rectangular prism, which shared a corner with a smaller, similar rectangular prism, which shared the same corner with a smaller similar prism, which shared corners with another and another... It was "animated", too -- the dimensions that defined the height, width, and depth of each similar 3D shape were constantly morphing.