Mscene | Animate in Python With Manim
— [ Ссылка ]
Fractals: Koch Curve, Koch Snowflake, and Koch Antisnowflake
[Source] [ Ссылка ]
[Animate] [ Ссылка ]
In mathematics, the intriguing concept of self-similarity emerges, wherein an object bears resemblance, either entirety or partially, to a smaller iteration of itself. A remarkable illustration of this phenomenon is the Koch Curve, showcasing the beauty of complexity inherent in self-similar geometric patterns. A fractal formed from the Koch Curve is the Koch Snowflake. It is created by repeatedly dividing each side of an equilateral triangle into three segments and replacing the middle segment with a smaller equilateral triangle. This process leads to a shape with an infinite perimeter enclosing a finite area.
Thanks for watching!
CuriousWalk
— [ Ссылка ]
— hello@curiouswalk.com
Koch Curve | Fractal Geometry | Animate in Colab
Теги
mathematicsself-similarityKoch CurveKoch Snowflakefractalsgeometric patternsfractal geometryinfinite perimeterfinite areaequilateral trianglefractal shapesself-similar objectsgeometrymathematical conceptsKoch curve explanationself-similarity in mathcomplex geometrygeometry patternsfractal patternstriangle subdivisioninfinite complexityfractal structuresmathematical beautymath visualizationrecursive shapesAnimation4KPythonManim