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

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.