How Topology Reveals Shapes in Science and Games
1. Introduction to Topology and Shapes: Understanding the Basics a. What is topology and how does it differ from traditional geometry? Topology is a branch of mathematics focused on the properties of space that are preserved under continuous deformations such as stretching, twisting, or bending, but not tearing or gluing. Unlike traditional geometry, which emphasizes exact measurements and angles, topology considers shapes equivalent if one can be transformed into another without cutting or attaching new parts. For example, a coffee … Continued
