Mathematically, this is written as (x + y) n. Pascal’s triangle can be used to determine the expanded pattern of coefficients. The first few expanded polynomials are given below. Using summation ...

And not only is it useful, if you look closely enough, you’ll also discover that Pascal’s triangle contains a bunch of amazing patterns—including, kind of strangely, the famous Fibonacci ...

Pascal’s triangle can even make some dreaded high-school algebra ... equal to 1 as well… Now for my all-time favourite Pascal pattern – I never cease to be amazed by how my favourite fractal ...

there can be infinitely many. The evolution of divisibility patterns in Pascal's triangle is closely related to a variety of cellular automata. Running a cellular automaton and testing divisibility ...

Pascal’s Triangle can tell us. What does the inside of a tesseract ... And that's not just a coincidence of the first few rows. The pattern holds for all the rows below. To explain why this ...