Yes, that is a Mandelbrot in the middle there! That specifically is what we fractal artists call a “midget” They are literally miniatures of the fractal they came from, which arguably could be the midget of a larger fractal. Get a fractal program and zoom in on the basic Mandelbrot fractal and you’ll see what I mean. Isn’t infinity cool?
This Wikipedia article has a great explanation. It’s almost overwhelming!