Fibonacci Sequence In Humanities

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Presentation transcript:

Fibonacci Sequence In Humanities Laura Chun Kiki Ong Pablo Saleta Mairin Murphy

Who is Fibonacci? Leonardo Bonacci, famous mathematician 1170-1250 (Middle Ages) Dad was diplomat who traveled Studied math in Egypt, Greece, Sicily,

Who is Fibonacci Continued Learned Hindu Arabic Number System Wrote Liber Abaci, Book of Calculations Fibonacci Sequence and Golden Ratio in book

Fibonacci Sequence List of numbers Starts with 1,1,2 each number is sum of previous 2 numbers goes up to indefinitely significant because it is found in nature, math, art, science, etc

Golden Ratio Golden Ratio definition: The Golden Ratio is found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part. “Perfect Spiral” is made up of Fibonacci numbers. The first two squares are 1X1, the second square is 2X2, the third 3X3, fourth 5X5 and so on. Equation: a/b =(a+b)/a = 1.618

Fibonacci in Architecture The golden ratio has been seen in many different buildings such as the Great Pyramids of Giza, Parthenon, Notre Dame, Taj Mahal, etc.

Fibonacci in Architecture Continued The Great Pyramid of Giza has a base length of 755 ft, height length of 479 ft, which ultimately produces a ratio that is roughly 1.5717, a number very close to the golden ratio (1.618)

The Parthenon Toronto’s CN Tower Notre Dame Taj Mahal

Fibonacci in Nature Pine Cone, 8 spirals one way 13 spirals other way The way petals grow is at certain angle (Phi)

Fibonacci in Nature Human body parts: 8 fingers,5 digits in each hand, 3 bones per finger, 2 bones per thumb,1 thumb per hand Ear shape-spiral

Fibonacci in Pop Culture

Fibonacci in Pop Culture

Fibonacci Continues to be Relevant Nature to Architecture to Pop Culture Not a Coincidence that the sequence continues being relevant today

Fibonacci Video https://www.youtube.com/watch?v=nt2OlMAJj6o