Friday, April 10, 2009
Sunday, April 5, 2009
Fibonacci

"The Fibonacci sequence is named after Leonardo of Pisa, who was known as Fibonacci (a contraction of filius Bonaccio, "son of Bonaccio"). Fibonacci's 1202 book Liber Abaci introduced the sequence to Western European mathematics, although the sequence had been previously described in Indian mathematics." (Wiki)This sequence basically equates to the third number in the sequence being the sum of the previous two:
0+1+1+2+3+5+8+13+21... and on to infinity.
"Fibonacci spiral patterns appear in many plants, such as pinecones, pineapples, and sunflowers... A logarithmic spiral, equiangular spiral, or growth spiral is a special kind of spiral curve which often appears in nature." (Crystalinks)Apparently it can even appear is music.
I came across a video highlighting that this mathematical sequence can be found in the lyrical syllables of the song Lateralus by Tool.
It's quite amazing and, given the nature of the song combined with the repeated use of the word spiral, I suspect it was quite intentional. Interestingly, the use of the phrase as below, so above comes from a topic I've previously written about; the Emerald Tablets.
There are some notable gaps in the fluctuating mathematical sequence, possibly hinting at a deeper meaning; those 'gaps' are the inspiring factors behind this entry.
Black [1]
Then white [2]
All I see [3]
In my infancy [5]
Red and yellow then came to be [8]
Reaching out to me [5]
Let's me see [3]
[pause]
As below, so above and beyond I imagine [13]
Drawn beyond the lines of reason [8]
Push the envelope [5]
Watch it bend [3]
[pause, Chorus]
Over-thinking, over-analyzing
Separates the body from the mind
Withering my intuition
Missing opportunities and I must
Feed my will to feel my moment
Drawing way outside the lines
Black [1]
Then white [2]
All I see [3]
In my infancy [5]
Red and yellow then came to be [8]
Reaching out to me [5]
Let's me see [3]
There is [2]
So [1]
Much more [2]
Beckons me [3]
To look through to these [5]
Infinite possibilities [8]
As below, so above and beyond I imagine [13]
Drawn outside the lines of reason [8]
Push the envelope [5]
Watch it bend [3]
[pause, Chorus]
Over-thinking, over-analyzing
Separates the body from the mind
Withering my intuition
Leaving opportunities behind
Feed my will to feel this moment
Urging me to cross the line
Reaching out to embrace the random
Reaching out to embrace whatever may come
I embrace my desire to
I embrace my desire to
Feel the rhythmTo feel connected
Enough to step asideAnd weep like a widow
To feel inspired
To fathom the power
To witness the beauty
To bathe in the fountain
To swing on the spiral
To swing on the spiral
To swing on the spiral
Of our divinity and still be a human
With my feet upon the ground
I move myeslf between the sounds
And open wide to suck it in
I feel it move across my skin
I'm reaching up and reaching out
I'm reaching for the random
Or what ever will bewilder meWhat ever will bewilder me
And following our will and wind
We may just go where no ones been
Well ride the spiral to the end
And may just go where no ones been
Spiral out
Keep going
Spiral out
Keep going
Spiral out
Keep going
Spiral out
Keep going
Spiral out
Keep going
Subscribe to:
Comments (Atom)