It asks whether a six-dimensional sphere can be completely described using complex numbers, which include the (seemingly impossible) square root of –1. This means that there’s a simple way to assign ...
Can a six-dimensional sphere be described using imaginary numbers? For decades, experts puzzled over this question. Now an AI has apparently answered it ...
What did we see that made us judge it as a "sphere"? ◆◆ In mathematics, there is no compromise on spheres Shirakawa: "Let's get the math part out of the way first." She writes an equation on the ...
The surprising real-world applications of high-dimensional sphere packing and the 48-year-old barrier that OpenAI just broke ...
A sphere is a sphere, right? Yes, if you mean a globe or a beach ball – what mathematicians call a two-dimensional sphere – but not if you are talking about a sphere in seven dimensions. Now the ...