Hypnerotomachia Poliphili (Drafts) · Track 133 · middle
Sand on a Vibrating Plate (Sophie Germain)
Sand on a Vibrating Plate — Sophie Germain
Lyrics
[Verse 1] Scatter sand on a metal plate Draw a bow across the edge The plate vibrates The sand migrates to the places where the vibration cancels itself The sand collects at the nodal lines and the nodal lines form a pattern and the pattern is a portrait of the frequency She solved the equation that predicts what the sand will do before you vibrate the plate [Chorus] She signed the paper Monsieur Le Blanc Because the Academy did not accept mathematics from a woman's name The equations did not know who wrote them The equations were correct regardless of the signature But the signature was the door and the door was locked and Monsieur Le Blanc was the key she carved from a name that was not hers The vibrating plate does not ask who scattered the sand It vibrates The sand obeys The pattern forms She understood this better than the Academy understood her [Verse 2] Your cochlea does the same thing Sound enters the ear and the basilar membrane vibrates at different positions for different frequencies High frequencies at the base Low frequencies at the apex The membrane decomposes a complex wave into its components the way she decomposed the vibrating plate into its eigenmodes She was doing with ink what your ear does with bone [Final Chorus] She won the prize She did not attend the ceremony because a woman at a ceremony for Monsieur Le Blanc would have been a scandal larger than the mathematics She saved the life of the greatest mathematician in Germany by writing to a general during the invasion and asking him to spare a specific house The general spared the house because the letter was from Monsieur Le Blanc and Monsieur Le Blanc had credibility Her name could not save a mathematician His name could Vibration does not care who started it Sand does not care who scattered it Only the Academy cared and the Academy was wrong and the Eiffel Tower is standing on her math ---