Presentation on theme: "Phi, Fibonacci, and 666 Jay Dolan. Derivation of Phi “A is to B as B is to C, where A is 161.8% of B and B is 161.8% of C, and B is 61.8% of A and C is."— Presentation transcript:
Derivation of Phi “A is to B as B is to C, where A is 161.8% of B and B is 161.8% of C, and B is 61.8% of A and C is 61.8% of B” The point at which the ellipse (y=x^2) and the line (y=x) intersect has an x value of approximately 1.618. The proportion of each line segment to any other line segment is 1.618. (1+√n½) / 2 N=5 1.618
Phi in Nature Each segment of the human finger can be divided to find the Golden Ratio
More examples The front two incisor teeth form a golden rectangle, with a phi ratio in the height to the width. The ratio of the width of the first tooth to the second tooth from the center is phi. The ratio of the width of the smile to the third tooth from is phi. The sections of an ant’s body are laid out true to the Divine Ratio Spirals of a sunflower’s seeds become increasingly larger by the number Phi.
Phi in Art One of the most anatomically correct drawings, the Vitruvian Man holds true to the proportion Phi Leonardo’s “The Last Supper” follows the proportion as well
Phi in Architecture Architects have designed buildings that are true to the ratio for thousands of years Ancient Egyptian Pyramids Notre Dame Cathedral, Paris Greek Parthenon, Athens United Nations Building, New York
The Fibonacci Sequence Leonardo Pisano Fibonacci discovered it in about 1202 A.D. He lived from 1170-1250 He first used the sequence to calculate the growth of a Rabbit population. The sequence is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 35, 56… Each number is found by adding up the two previous numbers. The Fibonacci sequence is found in nature and is still used to predict growth patterns.
The sequence in Nature: Flower Petals 123 5 813 2134
Fibonacci in the Real World “A group of rabbits mate at the age of one month and at the end of its second month a female can produce another pair of rabbits. Suppose that the rabbits never die and that each female always produces one new pair, with one male and one female, every month from the second month on. How many pairs will there be in one year?” The branches of a plant form according to the Fibonacci Series
More real world uses Area Census Rank Actual Population Predicted Population Method 1Method 2 New York, NE NJ116,206,841 LA Long Beach CA28,351,26610,016,379 Chicago NW IN36,714,5786,190,4625,161,366 Detroit, MI53,970,5843,825,9164,149,837 Washington DC82,481,4592,364,5462,453,956 Houston, TX131,677,8631,461,3701,533,626 Cincinnati, OH211,110,514903,1761,036,976 Dayton, OH34685,942558,194686,335 Richmond, VA55416,563344,983423,935 Las Vegas, NV89236,681213,211257,450 New London, CT144139,121131,772146,277 Great Falls, MT23370,90581,43985,982 Predicting populations
666 Originated in the pagan beliefs of the Babylonians. 666 was the number of the Supreme Sun God The number was derived by adding up the numbers of each of the 36 other Gods. Christianity is a monotheistic religion. In order to help convert followers of the Babylonian tradition, the Trinity (Holy Father, Holy Son, and Holy Ghost) was created. The book of Revelation condemns the number as the “mark of the beast.” This came later in an effort to rid the Church of Babylonian practices.
What does the Bible say about it? “Here is wisdom. He who has understanding, let him calculate the number of the beast, for it is the number of a man. His number is six hundred sixty-six.” -Revelations chapter 13, Verse 18
Conclusion: Brown uses these numbers accurately However, he may be overstating Phi’s actual importance. Lucas numbers exist too. (start with 1 and 3) 675 diamond shaped panes and 118 triangular panes. NOT 666! Brown’s Phi is PHI. Brown is leading us on for his more controversial topics. He’s trying to give himself credibility. But we are smarter than Brown.