As a maths teacher, I have often researched the Fibonacci sequence, Phi and the Golden Ratio. I’ve included it in my lessons every year to make things more interesting, engaging or relevant. Despite all my previous experience and a wealth of available resources online, I still keep discovering more facts and ideas surrounding this intriguing pattern of numbers. I have read about the patterns in plants and animals, the human body, architecture and art. I have also looked at fascinating themes related to Sacred Geometry. However, here are some other interesting pieces that I have stumbled across in the last few days. The link that started my revived interest was all about the planets and the Fibonacci sequence, but I didn’t think it would again lead to much more that is fascinating and beautiful about mathematics, patterns and the world around us. I also discovered that not all of it is true! I will assume the role of tour guide and take you on a little journey…
In the unlikely event that you are not already familiar with Phi or the Fibonacci Sequence, or perhaps you just need a reminder, then please visit these 3 introductory video links first:
1. Fibonacci, Venus, Earth and the Sun
Earth orbits the sun 8 times in the same period that Venus orbits the sun 13 times! Those numbers seem very familiar…and look at that lovely pattern in the middle when you join the lines on a weekly basis. Visit Under the SymmeTree where you can read more about this interesting fact.
2. The dimensions of the Earth and the Moon
3. Is it possible that the shape of the Universe itself is a dodecahedron based on Phi?
New findings in 2003 based on the study of data from NASA’s Wilkinson Microwave Anisotropy Probe (WMAP) on cosmic background radiation reveal that the universe is finite and shaped like a dodecahedron, a geometric shape based on pentagons, which are based on phi. Although it’s still a theory, the data that supports it is testing as true! Click on this link (or on the picture) to read more about it at goldennumber.net. There’s also a very interesting video about this theory: http://www.youtube.com/watch?v=Qu1GD_AifpM
4. What does Phi sound like?
A musical interpretation of Phi. The melodies that you hear throughout this piece are taken directly from the first 39 digits of Phi. The tempo is set at 161.8 BPM. http://www.youtube.com/watch?v=W_Ob-X6DMI4
5. Why is the Fibonacci Sequence important to religious people?
Christians call it “The Fingerprint of God”. http://www.youtube.com/watch?v=7Uo4Oond1e8 In the Torah, we find the “Love Numbers” as explained in an interesting talk given by Rabbi Yitzchak Ginsburgh. http://www.youtube.com/watch?v=4OBjtMdaROM
6. Why is the Fibonacci Sequence important to investors?
7. Why is the Golden Section important to artists and architects?
8. What do James Bond, Aston Martin and the Golden Ratio have in common?
From Gary Meisner (Goldennumber.net) Click here to visit the site and read the full article. James Bond, also known as 007, drove an Aston Martin DB5 in the movies GoldFinger and GoldenEye, and Aston Martin is now boasting its application of the Golden Ratio in the design of its latest DB9 and Rapide S automobiles. The Aston Martin Rapide S is described as:
“Breathtaking Proportions – The ‘Golden Ratio’ sits at the heart of every Aston Martin. Balanced from any angle, each exterior line of Rapide S works in concert and every proportion is precisely measured to create a lithe, pure form. Our engineering follows the same principle. A near perfect weight distribution ensures Rapide S is balanced in form and balanced in function.”
9. Golden Ratio – Top 10 myths and misconceptions
Visit this link to read about some of the common points of confusion and debate, covering beauty, the Parthenon, the UN Secretariat Building, the Great Pyramid, Nautilus shell, use by famous artists (Da Vinci, Botticelli, Seurat, etc.) and other topics.
10. Fact versus Fiction
Professor Keith Devlin presents an all-encompassing lecture on the facts and the myths about Fibonacci and the Golden Ratio – Stanford University, October 2012.