Glad you posted this but that article is a bit user-hostile even for math wikipedia. The relevant paper is relatively approachable if you're a mathematical tourist.
https://arxiv.org/pdf/1312.2007.pdf
> In planar N = 4 supersymmetric Yang–Mills theory, also equivalent to the perturbative topological B model string theory in twistor space, an amplituhedron is defined as a mathematical space known as the positive Grassmannian.
Can I use a turbo-encabulator to create amplituhedrons?
I tried my hand at editing it, but was definitely lost at the question that it's not that hard to understand geometrically what the idea is, but how it relates to physics means doing a lot more work. So hard to strike the balance. Why would one care about a rectangular matrix all of whose maximal minors are positive.
Through substitution of a theoretical geometric object into infinite dimensional space computations are greatly simplified, as Riemann hypothesis provides sufficient rules to deal with infinite series of natural numbers.
