Download presentation
Presentation is loading. Please wait.
Published byMarcus Greer Modified over 9 years ago
1
WHO SAID MATH WASN’T FUN? Tara Kerr, Liz So, Deena Douara
2
A B C
3
A C B
4
A C B
5
A C B
6
B A C A
8
YouTube
9
the Golden Ratio: the math the Golden Ratio is a special number approximately equal to 1.6180339887498948482 one way to visually understand it is with a line segment
10
the Golden Ratio: the math then a mathematical equation can be established through the ratio b=a aa + b solving for a, we end up with a=(1 + sqrt(5)) 2 = phi =1.618033988749 by cross-multiplying we get ab + b 2 = a 2 or if we substitute 1 for b, then a 2 = a + 1
11
the Golden Ratio: the math Fibonacci sequence = 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144... where 5/3 = 1.6666… and 8/5 = 1.6 and 13/8 = 1.625 and 21/13 = 1.615… and 34/21 = 1.61904… and so on, each more closely approximating the Golden Ratio
12
In History...
13
Ancient Egypt Pyramids
14
Ancient Greece Pythagoras concept geometry Euclid definition Phidias (phi, Φ ) sculptor Parthenon
15
“Middle” Ages Leonardo of Pisa aka "Fibonacci“ Fibonacci sequence Great Mosque of Kairouan (Tunisia)
16
Renaissance Leonardo da Vinci “divine proportion” (Luca de Pacioli) Johannes Kepler Kepler triangle decimal (Maestlin) Taj Mahal
17
post-Renaissance “φ “ named Oprah, plastic surgery & cult of beauty Painters Mondrian, Dali Modern architecture Le Corbusier
18
Nature plants & flowers human body animals
19
Further Reading Mario Livio, The Golden Ratio: The Story of Phi, The World's Most Astonishing Number Mario Livio YouTube videos, Discover Channel
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.