 On the other hand, the dissipative chaotic models used to characterize some actual-world systems all exhibit strange attractors with fractal geometries. So it looks like fractal geometries in chaotic model state spaces bear no relationship to the pre-fractal features of actual-world systems. In other words, these fractal features of many of our models are clearly false of the target systems though the models themselves may still be useful for helping scientists locate interesting dynamics of target systems characterized by prefractal properties. Scientific realism and usefulness look to part ways here. At least many of the strange attractors of our models play the role of useful fictions. 