where F n are the Fibonacci numbers 0, 1, 1, 2, 3, … and L n are the Lucas numbers 2, 1, 3, 4, 7, …. These are two sequences satisfying the same famous recurrence relation, just with different initial ...

Let’s climb up to the E 6 root polytope starting with some of its 4-dimensional faces, which are called 4-demicubes because you get them by taking a 4-dimensional cube, or tesseract, and removing ...

Sep 24, 2026 These seven equations between binomial coefficients are ‘coincidences’: they aren’t among the four known infinite families of such equations. Here we explain one using representation ...