Google rolled out Photo Sphere back in 2012, and it was on every Nexus and Pixel phone since, at least until the Pixel 8 series. And things haven’t looked good for Photo Sphere for some time — it was ...

These are collections of functions, or “mappings,” that send points from a high-dimensional sphere to a lower-dimensional one. Imagine, for instance, a mapping that sends every point in a ...

For example, two-dimensional experiments in both the U.S. and in Europe 2018 showed evidence of a four-dimensional existence because scientists could make logical inferences based on how electrons ...

The disproof of the telescope conjecture has wide-ranging implications, but one of the simplest and most profound is this: It means that in very high dimensions (think of a 100-dimensional sphere), ...

As a three-dimensional sphere passes through, it would appear as a dot that grows and shrinks, illustrating how limited perceptions can hinder understanding of higher dimensions.