The relationship between elements in digital spaces creates constraints that manifest as spatial coordinates, similar to pixels on a computer screen. These coordinates are comprised of atoms of space that are interconnected to form a grid-like structure.

The way in which we connect nodes on a graph can determine our perception of the macroscopic level of that graph, with different connections forming a different dimensional space.

The ability to determine whether you live on a circle or a line comes down to understanding if you can walk in one direction and eventually end up where you started or instead find yourself in a different location.

This podcast episode discusses how references to space are used in mathematics, from calculating distances between objects to navigating through mathematical concepts.

The concept of infinity cannot be expressed with a mathematical language without running into contradictions, rendering the language invalid.

In this episode, the hosts delve into the complexity of high dimensional spaces and their limitations, discussing the challenges in understanding the vast number of ways one can arrange and structure such spaces.