I found some explanations why the Mandelbrot set has a perfect cardioid and a perfect circle. But then there are other miniature copies of the entire set like on pic-related which however don't have perfect cardioids or perfect circles like the main Mandelbrot set has.

How do you explain mahtematically that those miniature copies exist and why do they approximate cardioids and circles (instead of being perfect cardioids and circles)? How is their location on the complex plane determined?