The Fibonacci sequence and its generalization have been studied for many years. This paper considers the sequence obtained by changing the operation of the recurrence relation from addition to ...

As their results began to crystallize, at first they didn’t notice the striking patterns emerging. But a colleague who reviewed their work spotted the famed Fibonacci numbers—a list whose entries have ...

A variation of a puzzle called the “pick-up sticks problem” asks the following question: If I have some number of sticks with random lengths between 0 and 1, what are the chances that no three of ...

Learn about the origins of the Fibonacci sequence, its relationship with the golden ratio and common misconceptions about its significance in nature and architecture. When you purchase through links ...

Shea Gunther is a writer, entrepreneur, and podcaster living in Portland, Maine. He covers topics such as renewable energy, climate change, and nature. One of the things that drove me to enroll back ...