text: This mathematical concept is demonstrated on the Galton board, on which it determines the number of paths a ball can take to reach a peg.
full_question: This mathematical concept is demonstrated on the Galton board, on which it determines the number of paths a ball can take to reach a peg. A fractal can be created from this construct by only displaying it's odd numbers. That fractal was developed by Sierpinski. It's first diagonal is useless, but it's other right-to-left diagonals display well known mathematical series. One of these series is composed of the triangular numbers. It is useful for displaying the coefficients of a binomial expansion, in which the row number displays the coefficients of binomial x+y raised to that row's number. For ten points, name this geometric construct whose namesake is that of a French Mathematician.
first_sentence: This mathematical concept is demonstrated on the Galton board, on which it determines the number of paths a ball can take to reach a peg.