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Vbm exercise-fibonacci-wheel

Pooyan Najafi
Pooyan Najafi

The Fibonacci series is a significant pattern able to model or describe an amazing variety of phenomena in nature, art and science [1]. In these slides, the Fibonacci series is taken to the Vortex Based Mathematics world and really interesting results are observed. Reference: [1] THE FIBONACCI SEQUENCE, SPIRALS AND THE GOLDEN MEAN,http://www.math.temple.edu/~reich/Fib/fibo.html, Oct17

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Fibonacci Series Fibonacci series is a deceptively simple sequence of numbers that has many amazing properties. It was discovered by Leonardo Fibonacci in 1202 and has perplexed mathematicians for 700 years [1]. It goes like this: 1, 1, 2, 3, 5, 8, 13, 21, 34,..... Each number is attained via adding the previous two numbers. Why is this signifcant? Geneology of bees, the growth of pinecones and sunflowers, and even the relative orbit of Earth and Venus [2]. For example, we can have 1, 2, 3, 5, petals in flowers. 4 is extremely rare.
Vortex Math and Fibonacci Series Let us re-write the Fibonacci Series reduced to its digital roots (add digits to get 1 digit numbers). So we get 1,1, 2, 3, 5, 8, 13 (4), 21 (3), 34 (7) etc. You will find that the sequence when reduced (to be represented with 9 numbers), has a cycle of 24. Let's put them on a circle. See next slide.
9 1 1 1 8 2 2 3 6 5 5 8 1 4 4 3 6 7 7 1 8 8 8 9
Inverted Sine Figure shows that Fibonacci series in Vortex Based Math can lie on a sine wave Cycle. When the curve dips down numbers become those on the top subtracted from 9 [2].
References [1] A, Matt et al., "The fibonacci series." Oracle thinkquest education foundation. 1999. Oracle, Web. August 21, 2012. < http://library.thinkquest.org/27890/mainIndex.html >. [2] Codymrose, "Rodin Fibonacci Wheel Symmetries," blog, 16 Jan. 2011 http://philosophestoned.blogspot.ca/2011/01/rod in-fibonacci-wheel-symmetries.html.

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Vbm exercise-fibonacci-wheel

  • 1. Fibonacci Series Fibonacci series is a deceptively simple sequence of numbers that has many amazing properties. It was discovered by Leonardo Fibonacci in 1202 and has perplexed mathematicians for 700 years [1]. It goes like this: 1, 1, 2, 3, 5, 8, 13, 21, 34,..... Each number is attained via adding the previous two numbers. Why is this signifcant? Geneology of bees, the growth of pinecones and sunflowers, and even the relative orbit of Earth and Venus [2]. For example, we can have 1, 2, 3, 5, petals in flowers. 4 is extremely rare.
  • 2. Vortex Math and Fibonacci Series Let us re-write the Fibonacci Series reduced to its digital roots (add digits to get 1 digit numbers). So we get 1,1, 2, 3, 5, 8, 13 (4), 21 (3), 34 (7) etc. You will find that the sequence when reduced (to be represented with 9 numbers), has a cycle of 24. Let's put them on a circle. See next slide.
  • 3. 9 1 1 1 8 2 2 3 6 5 5 8 1 4 4 3 6 7 7 1 8 8 8 9
  • 4. Inverted Sine Figure shows that Fibonacci series in Vortex Based Math can lie on a sine wave Cycle. When the curve dips down numbers become those on the top subtracted from 9 [2].
  • 5. References [1] A, Matt et al., "The fibonacci series." Oracle thinkquest education foundation. 1999. Oracle, Web. August 21, 2012. < http://library.thinkquest.org/27890/mainIndex.html >. [2] Codymrose, "Rodin Fibonacci Wheel Symmetries," blog, 16 Jan. 2011 http://philosophestoned.blogspot.ca/2011/01/rod in-fibonacci-wheel-symmetries.html.