This rather striking image is the imaginary part of the Airy function. Rather than a lot of words today, I'd like to just present this mathematical function as art.
I've always disagreed with Whitman in his assessment of science, but it is nonetheless a good thing to occasionally look up in silence at the stars - or function plots.
WHEN I heard the learn'd astronomer;
When the proofs, the figures, were ranged in columns before me;
When I was shown the charts and the diagrams, to add, divide, and measure them;
When I, sitting, heard the astronomer, where he lectured with much applause in the lecture-room,
How soon, unaccountable, I became tired and sick;
Till rising and gliding out, I wander'd off by myself,
In the mystical moist night-air, and from time to time,
Look'd up in perfect silence at the stars.
I think the point Whitman is trying to make is that the mystery in the stars is a physical one whereby he sees the numbers as a manifestation of the human mind; The bottom-line being that the beauty in mathematics is a different kind of beauty than that of art.
One of my favorite functions. Plays a role in some cool optical effects, including Rainbow scattering (the supernumerary arcs?) if my memory is correct (which it probably isn't).