Topology: the math of bendy shapes
Topology is a branch of mathematics that explores how shapes can bend and stretch without breaking, revealing their fundamental, unchanging characteristics and impacting modern technology.
Imagine stretching and twisting a coffee cup into a donut without tearing it – that's topology! This field of mathematics studies properties of shapes that remain unchanged even when deformed, like the number of holes. A coffee cup and a donut are topologically identical because both have one hole. Pioneered by mathematicians like Henri Poincaré around 1895, topology helps us understand space and connectivity beyond just how things look.