/sci/ - Science & Math

>>11072511
In the mandelbrot set, an infinite perimeter encloses a finite area. This is like that, but the perimeter is also finite. In fact the picture does describe a fractal with a perimeter of 4. On an infinitessimally small scale the shape is rough, and all those infinitely small right angle bends contain the extra distance. The circle-fitting fractal is also probably described with an infinite series.

>>9885662
Chaos exists but is deterministic. Everything that will ever happen is destined to happen, but it’s fundamentally impossible to actually predict it. You can only make approximate predictions based on approximate knowledge, but approximate predictions effect real outcomes in a way that creates non-predicted deviation from the approximate prediction.

Both chaos and constant exist. Things can be both summarized perfectly but impossible to break down comprehensively.

Could somebody explain to me the significance of the Mandelbrot sequence?