This is fractal animation of the golden spiral, meaning no matter how much you zoom in — the golden spiral will always repeat.
The golden spiral is logarithmic spiral whose growth factor is φ, the golden ratio. The golden ratio exists two quantity’s ratio is the same as the ratio of their sum to their maximum (which sounds confusing but is basically expressed as (a+b/a = a/b = φ = approximately 1.61803989)
This ratio is often observed in painting, architecture, many forms of art — and surprisingly is frequently noticed in nature. It has been proposed that the golden ratio is even connected to human genome DNA.
This number, and its geometric representation are very interesting — and I strongly encourage you to read more about it.