Tag: Geometry
-
Exploring Fractal Geometry: Peano Curve, Hilbert Curve, Koch Curve, and Their Applications
Fractals are intricate geometric shapes that can be split into parts, each resembling the whole—a property known as self-similarity. These fascinating structures appear in various natural phenomena and have applications across multiple scientific disciplines. This article delves into three notable fractal curves: the Peano curve, the Hilbert curve, and the Koch curve, exploring their mathematical… Read more…
-
Zermelo-Fraenkel Set Theory: A Cornerstone of Modern Mathematics
Abstract Set theory forms the bedrock of contemporary mathematics, providing a universal framework for understanding mathematical structures. Among various systems, Zermelo-Fraenkel Set Theory (ZFC) has emerged as the most widely accepted and influential formulation. ZFC elegantly defines the concept of “sets” and underpins much of modern mathematical logic and reasoning. This article delves into the… Read more…
-
Manim: An Exciting Animation Engine for Explanatory Math
A community-maintained Python framework for creating mathematical animations. Read more…