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, ... the famous Fibonacci sequence.

The relatively simple arrangement of numbers known as Pascal’s Triangle contains many numeric patterns, such as triangle numbers, binominal coefficients, and the celebrated Fibonacci sequence. ...

When b is 0, you haven’t cut anything; when it’s 1, you’ve erased nearly the whole triangle. Initially, the group’s efforts seemed unlikely to bear fruit.

0.5 is not derived from the Fibonacci sequence but is commonly used in trading. 0.786 is also not a Fibonacci number but is the square root of 0.618.

John Edmark, a professor of design at Stanford University, has mashed together geometry and art to create these 3D printed kinetic sculptures based on the Fibonacci sequence -- a series of ...