What is the Fibonacci sequence and how can I visualize it?

What is the Fibonacci sequence and how can I visualize it?

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. You can visualize it using a spiral or a series of squares.

Can you show me how to create a Fibonacci spiral?

Sure! To create a Fibonacci spiral, draw a quarter circle in each square of the Fibonacci sequence. Start with squares of sizes 1, 1, 2, 3, 5, and so on.

What are some applications of the Fibonacci sequence?

The Fibonacci sequence appears in nature, art, and architecture. It's used in algorithms, financial markets, and even in music!

Can you provide a code example to generate Fibonacci numbers?

Absolutely! Here's a simple Python code snippet:

def fibonacci(n):
    a, b = 0, 1
    for _ in range(n):
        print(a)
        a, b = b, a + b

fibonacci(10)  # Generates the first 10 Fibonacci numbers