# Lucy Tuning Pi with Diamonds

*Lyrics by Rebecca Mercuri
Music by The Beatles
Sung to the tune of “Lucy in the Sky with Diamonds”*

Picture yourself in a world without angles

Where tangent of 90 is not undefined

Circumference of unit diameter circle

Is three point one four one five nine

Petals of flowers go spiraling ‘round

With ratios golden and red [1]

Brightness of light of the sun in your eyes

Inverse-square

Lucy tuning [2] Pi with diamonds

Lucy tuning Pi with diamonds

Lucy tuning Pi with diamonds

Aaaaahhhhh…

Laminar bubbles [3] will animate fountains

With tiny computers called Raspberry Pi’s

Everyone smiles at the Fibonacci flowers

The Level 3 Pi in the sky [4]

Newton and Kepler found orbiting Pi

Keeps us from flying away

Pyramid great [5] with its head in the clouds

Polygon [6]

Lucy tuning Pi with diamonds

Lucy tuning Pi with diamonds

Lucy tuning Pi with diamonds

Aaaaahhhhh…

Picture yourself on a train hearing Doppler

With sinusoid wavefronts phased Pi over 2

Beautifully infinite and trancendental

The proof of irrational Pi [7]

Lucy tuning Pi with diamonds

Lucy tuning Pi with diamonds

Lucy tuning Pi with diamonds

Aaaaahhhhh…

[repeat Pi times then fade out]

*Footnotes for uncommon references:*

[1] Plant flowering is affected by red:far-red light ratio.

http://aob.oxfordjournals.org/content/96/2/169.full.pdf

[2] Lucy Tuning – a musical scale based on Pi intervals.

http://www.lucytune.com/new_to_lt/pitch_01.html

[3] Calculations for Laminar Flow Water Fountains based on Pi.

http://hackedgadgets.com/2012/04/09/diy-laminar-flow-water-fountains/

[4] Pi Stage 25 password for This is the Only Level 3 game.

https://armorgames.com/community/thread/9033426/this-is-the-only-level-3

[5] Phi, Pi and the Great Pyramid of Egypt at Giza

http://www.goldennumber.net/phi-pi-great-pyramid-egypt/

[6] Pi and Archimedes Polygon Pi Approximation

https://www.math.dartmouth.edu/~m56s13/Han_proj.pdf

[7] Elementary Proof that Pi is Irrational

http://www.coolissues.com/mathematics/Pi/pi.htm