Fibonacci Poetry: The Golden Ratio in Verse

1. Fibonacci Poetry

2. Where does Fibonacci Poetry come from?

3. How does the Fibonacci Sequence Work? 0, 1, 1, 2, 3, 5, 8, 13, 21, … • The next number is found by adding up the two numbers before it. • The 2 is found by adding the two numbers before it (1+1) • The 3 is found by adding the two numbers before it (1+2), • The 5 is (2+3), • And so on!

4. The Rule • When we make squares with the widths, we get a nice spiral.  • Do you see how the squares fit neatly together? For example 5 and 8 make 13, 8 and 13 make 21, and so on. • This then turns into "The Rule". That rule looks like:  xn = xn-1 + xn-2

5. Fibonacci Numbers in Nature "The Fibonacci numbers are Nature's numbering system. They appear everywhere in Nature, from the leaf arrangement in plants, to the pattern of the florets of a flower, the bracts of a pinecone, or the scales of a pineapple. The Fibonacci numbers are therefore applicable to the growth of every living thing, including a single cell, a grain of wheat, a hive of bees, and even all of mankind." -NikhatParveen, UGA (Fibonacci in Nature)

10. The Rule of Thirds or The Golden Ratio • The Fibonacci Sequence is an important element in design and art. • It is also known as the Golden Ratio, the Golden Mean, the Golden Section, and the Greek letter phi. • The Designer's Guide to the Golden Ratio

11. Let’s Practice Creating a Golden Ratio You will need: • Graph paper • Pencil • Ruler

12. Now Let’s Design Fibonacci Poems! • A Fibonacci Poem is structured after the Fibonacci sequence.  • Each line is based on either number of words or number of syllables.  • The pattern you use is created from the pattern of the ever-expanding spiral. • That pattern is 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on.

13. Example Poem from Math Teacher Writes

14. Task 1: (Classwork) Draft a Fibonacci Poem! Steps: • 1. Choose a topic. You may want to brainstorm a list of possible topics that relate to the Fibonacci sequence. You will be required to include an image with your final poem that is an example of the Golden Ratio.Bonus: Try to make your poem relate to this naturally occurring pattern! • 2. Decide if you want to base your poem on the syllables for each line or on the word count for each line. You must stick to one format for your entire poem. You can practice writing your poem both ways and see which one you prefer.  • 3. Begin writing your poem!

15. Task 2: (Homework) Edit and Revise Your Fibonacci Poem • A final, published copy of your poem will be due on Friday, August 18th. • Your final copy must include your poem, a title, your name, and a visual representation of the Fibonacci Sequence in nature, design, math, or art.