David Warmke - The Mandelbrot Set Cifras

Chorus]
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Plenty of sad songs of life and loves betrayal
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Songs of drinking, partying, even jail time
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Songs about natural highs, them’s all a dime a dozen
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When have you heard a good song about mathematics
 
 
[Verse 1]
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Sitting on this stage the lights are bright
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Can’t see yours glazed eyes rolling  back in your head
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Hang with me for this musical mathematical truism
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The Mandelbrot set,  amazing patterns of nature
 
 
[Verse 2]
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Z (n+1) = Z(n) squared plus C
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It’s just a simple equation used over and over again
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If this sequence stays small C it’s in the set
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If it grows it’s out, simple math and observation 
 
 
[Verse 3]
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Plot those results real imaginary on x and y graph
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You get a Cardioid with circles and lighting bolts  attached
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All happened from 3 to -3 real and imaginary 
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Infinity squared contained in these number lines
 
 
[Chorus]
C                                    F
Plenty of sad songs of life and loves betrayal
Am                               G
Songs of drinking, partying, even jail time
C                                              F
Songs about natural highs, them’s all a dime a dozen
Am                                            G
When have you heard a good song about mathematics
 
 
[Verse 4]
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Drill down deeper and deeper it looks almost the same
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Beautiful patterns natural shapes  even sounds 
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The Fibonacci sequence, Phis the Golden mean
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All in of this little equation 
 
 
[Verse 5]
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No straight lines in nature, lighting bolts, river deltas
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Spiral Galaxies, ferns all fractal in nature
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Conch shells, nautilus snow flakes all in  this set
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Even Art, Jackson Pollock Action painting are fractal 
 
 
[Chorus]
C                                    F
Plenty of sad songs of life and loves betrayal
Am                               G
Songs of drinking, partying, even jail time
C                                              F
Songs about natural highs, them’s all a dime a dozen
Am                                            G
When have you heard a good song about mathematics
 
 
[Outro]
C                               F
How can this be, just too amazing?
Am                                      G
One little equation all that beauty and complexity
C                          F
Mathematics, the Mandelbrot set
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The mind of God, His glory surrounds us, c an you see
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Mathematics the Mandelbrot set
Am                                          G
The mind of God, His glory surrounds us, can you see
C                                  A2   Am
the Mandelbrot set, and the mind of God
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