How Do Hyperbolic Tessellations Work?

Imagine a piece of paper that keeps getting bigger and bigger as you move away from the center, like a funhouse mirror. On this strange paper, shapes can fit together in ways we don’t see on flat surfaces. This is what hyperbolic tessellations are like! Just like how squares tile a flat floor, shapes such as triangles or hexagons can tile the whole surface of this stretched-out world, making patterns that repeat and swirl beautifully.