(See photo below.)īy dividing the rectangle into smaller and smaller sections, each one approximates the golden ratio, and as you continually create successive squares and spirals out of the first rectangle, the equation of the sides approximates more closely 1.618033, which is phi or the golden ratio. With the first rectangle, create a spiral from the square by drawing a 90-decree curve from sides “a” and “b” of the square, and continue doing this for the other squares, and you have the golden ratio spiral. (To see how this works, there is a manipulative here to play with.) If a square is created within the rectangle, the part that is cut off forms another rectangle. In a golden rectangle, the ratio of the width and the length are equal to phi. Its specific properties are represented in what is called a golden rectangle. (See the drawing below.)
The spirals and proportions of a nautilus present the perfect golden ratio. It represents a certain ratio of elements, and is all about “relationship.”Ī marvelous example of the golden ratio is found in the nautilus shell of our logo. The golden ratio, which is also known as the golden section, the golden mean, or the golden proportion, is a term that refers to divine proportionment, which the Greeks referred to as phi. Part I – Healing From a Spiritual Perspective.Part II – Healing From a Spiritual Perspective.Part I – Relationships From a Spiritual Perspective.Part II – Relationships From a Spiritual Perspective.Part I – Abundance from a Spiritual Perspective.Part II – Abundance From a Spiritual Perspective.Part I – Refreshing Your Psychology From a Spiritual Perspective.Part II – Refreshing Your Psychology From An Ascended Master Perspective.Part I – Increasing Your Light in the World.Part II – Increasing Your Light in the World.Elizabeth Clare Prophet on Your Divine Self.An Introduction to the Mystical Paths of the World’s Religions.
#9 – Tips for Spiritual & Physical Healing.#8 – Spiritual Warfare: A Sacred Mission.#6 – The Divine Mother, Mother Mary, Kuan Yin.#4 – The Christhood & Buddhahood Connection.#3 – Krishna & Kuthumi: Psychological Healing.
Jasmine’s Personal Story about Her Longing for Life’s Meaning. Ana’s Personal Story about Listening to Her Heart’s Promptings. Mary’s Personal Story about Life After a Near Death Experience. Elann’s Personal Story about the Miracles in Her Life. They named this special relationship of the parts the "golden ratio". Were in the same ratio as Fibonacci's numbers were to each other. When mathematicians examined what they considered to be perfect objects a building like the Acropolis, a finely made and tuned violin, the human body, they discovered that the parts of the objects The "golden mean" has been a number used to investigate natural and man-made objects and the size of one part of the object to another part. Golden items are considered very valuable and quite rare. To the answers, you have found an answer that is very close to what is sometimes known as the "golden mean". This is the type of strange phenomenon that intrigues mathematicians. Notice anything worth investigating further? Try finding the average of your answers. Try dividing each number into the number that follows it, e.g. If you investigate how the numbers of the sequence relate to each you will make another amazing discovery. Rectangle was ranked seventh, so that six rectangles had ratios lower than 1:1.618, and three had ratios higher. All involve the Fibonacci numbers - if you would like to discover how and why, Dr Ron Knott has the answers for you. In the order of long-to-short ratio, the Golden. In branching plants, flower seeds and petal and leaf arrangements, on the outside of pineapples and inside apples as well as within pine cones. If you don't know about the rabbits you can find out more at Fibonacci's Three Wishes 2įibonacci's number sequence (1,1,2,3,5,8,etc) has been discovered in some very interesting places. But there was more to Fibonacci than a number pattern and counting breeding rabbits. There is an Fibonacci association and even a journal dedicated to the sequence. His statue is not as well known as his number sequence. Well, Leonardo is better known as Fibonacci. Do you recognise him now? (picture from the website of the School of Mathematics and Statistics University of St Andrews, Scotland) Here a picture of a statute of Leonardo that is in his home city.
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