The Fibonacci sequence is a series of numbers that is created starting with a 0 and a 1. From there, the next number in the sequence is determined by adding the two numbers before it. So starting with 0 and 1 the third term in the sequence is 0 + 1 = 1. The fourth term in the sequence is then 1 + 1 = 2 and so forth. This process continues indefinitely and the pattern resulting can be seen in the image to the right.

The interesting thing about the Fibonacci Sequence is that it can be seen all around us in the natural world. From flowers petals to galaxies this sequence continues to show up as a defining feature of the physical world. To many this begs the question that there may well be more to the Fibonacci sequence than what we currently know, that the sequence of numbers could hold some truths within its code. Since each number in the sequence is only determined by the two numbers prior to it, one would not necessarily expect to find any relationship between the series as a whole. However, the more we look at the Fibonacci sequence the more unique relationships we find connecting different terms. Check out this link to see some of the previously discovered patterns in the sequence.

I believe that there is something fundamentally true about the Fibonacci sequence. Starting with 0 and 1 the sequence builds itself up off of itself in a way that parallels the Big Bang itself. So I decided to take a look at the numbers myself and see if I could find some patterns of my own. Let me preface this by saying it is entirely possible that I am the only one that finds this remotely interesting. I discovered that there is a pattern determining the starting digits of the numbers. I started by looking at the first two digits of the fibonacci terms (if the number was 1124873343 I considered it to be an 11). From there I looked at the number of terms in the sequence until the next 11 appeared. I found that there was a set pattern that could be used to predict when the next 11 would appear.

For example, in the first 1000 terms of the Fibonacci sequence, the terms in which the number starts with 11 are

[45, 59, 88, 112, 136, 155, 179, 203, 222, 246, 270, 289, 313, 356, 380, 423, 447, 490, 514, 557, 581, 600, 624, 648, 667, 691, 715, 734, 758, 782, 801, 825, 868, 892, 935, and 959]

If you subtract each term in this sequence by the one before it to find out how far the terms are spaced you get this.

[24, 19, 24, 24, 19, 24, 24, 19, 24, 24, 19, 24, 43, 24, 43, 24, 43, 24, 43, 24, 19, 24, 24, 19, 24, 24, 24, 24 ,24 ,24, 19, 24, 43, 24, 43, 24]

This pattern relating the numbers which start with 11 in the Fibonacci sequence is not random at all, and 11 is not the only number that this occurs for. Every single number has a pattern - a frequency of sorts - determining how often and where the number occurs within the sequence.

The terms starting with 22 are as follows.

[56, 123, 190, 233, 257, 300, 367, 434, 501, 568, 635, 678, 702, 745, 812, 879, 946]

The distance between the terms is:

[67, 67, 43, 24, 43, 67, 67, 67, 67, 67, 43, 24, 43, 67, 67, 67]

The terms starting with 33 are as follows:

[119, 186, 253, 320, 387, 454, 564, 631, 698, 765, 832, 899]

The distance between terms is:

[67, 67, 67, 67, 67, 110, 67, 67, 67, 67, 67]

Check out the images below to see these patterns visually. The relationship between starting digits becomes more interesting when you consider the Fibonacci sequence as a blueprint for life. At first, the numbers seem to be getting larger arbitrarily but if you look closer the growth is actually comprised of a series of endless cycles. I believe this is representative of the fundamental nature of the universe, all forward progress is actually cyclical. The universe spirals upwards and builds on itself. I also believe this is a better model for the evolution of human consciousness. Mainstream science likes to paint a picture of linear evolution from ape but there is a whole world of evidence suggesting otherwise. Our education system wants us to look around and believe that this society is the pinnacle of human evolution... Our history courses paint the picture that everything in our history has been building towards this modern world. I disagree. You ever wonder what would be left of our sky scrapers and suburbs in 5,000 years? I'd guess almost nothing. The same cannot be said for hundreds of astonishing architectural feats accomplished by our ancestors. I believe it's time to force the questions: Is evolution linear? Has humanity been getting increasingly advanced or have we gone through countless cycles of golden ages followed by dark ages? Is the history of advanced humanity a few thousand years old.. or is it tens or hundreds of thousands of years older?