MVP on Instagram: "Sierpiński triangle area This is a short, animation showing the Sierpiński triangle construction and discussing the fact that it encloses a zero area. #mathshorts​ #mathvideo​ #math​ #fractal #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #limits #mathematics #area #sierpinskitriangle #sierpinski This is a standard result that can be found in numerous places, such as Wikipedia. To learn more about animating with manim, check o

Andrzej Kukla on Instagram: "Fractals have weird dimensions 🤔 And I really mean it, these numbers are not integers, sometimes not even rational! Who would’ve thought, right? But… why do we need it? The purpose of such characteristic is to describe the complexity of detail in pattern of such fractal. There are many different definitions of a fractal dimension, but for a self-similar fractals (like the Sierpiński triangle) we can use a simple formula described in the reel itself. How cool is that