Have you ever heard of the Fibonacci sequence? Or the Golden Ratio? Or the Golden Spiral? These mysterious numbers and shapes are all connected to each other. If you look closely, they can be ...

Learn about the optical rotatum, a newfound structure of light that exhibits a spiral pattern linked with various parts of ...

The pattern of the branching of many trees ... Once they learn about the Fibonacci sequence, says Brother Alfred, “people tend to find an esthetic satisfaction in it. They think that there ...

The golden ratio emerges from the Fibonacci sequence, where each number (with ... Below, we review the tools developed to take advantage of this pattern. The golden ratio is an irrational number ...

The first three terms of a Fibonacci-type sequence are 𝑥, 𝑥 + 7 and 2𝑥 + 7. Work out an expression for the 4th term. The 𝑛th pattern has 2𝑛 + 1 sticks. Write the number of sticks ...