Follow your curiosity

What discovery has been shared with you?

FACTREE gives you something interesting to discover every day — and something worth talking about together.

Start with one fact. Explore it, go deeper, then follow whichever branch catches your imagination.

Choose subjects for a surprise

Exploring any topic

Begin your discovery

Your next discovery is one click away.

Choose one or more subjects above, or leave Any Topic selected and let curiosity decide.

Mathematics

The Evolution of the Concept of Space in Mathematics

Quick fact

In the early 20th century, mathematicians realized that 'space' could be defined without any notion of distance or coordinates, leading to topological spaces where only open sets matter, and even inspired the framework for general relativity, which describes gravity as the curvature of a four-dimensional spacetime.

Why this is interesting

You've lived your whole life in a space that feels perfectly ordinary—three dimensions, straight lines, and a clear distance between points. But what if the 'space' mathematicians use today is something far more alien, more flexible, and more abstract than you ever imagined?