Frozen Harmonics by elkement

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Frozen Harmonics by elkement
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About "Frozen Harmonics"

by elkement

About the artwork

You encounter spherical harmonics when calculating the quantum mechanical wave function for the hydrogen atom. These functions are the building blocks of the lobe-shaped orbitals known from chemistry.

Just as any periodic function – as spiky as it may be – can be built up from sine and cosine waves of different frequencies, any function on a sphere can be built from a basis of spherical harmonic functions.

Here, I’ve tried to use just one these basic functions. Each set of longitude and latitude is assigned a value – like the distance from the origin at that combination of angles.

I visualize surfaces via delicate contour lines: I draw lines on all these lobes, keeping either the longitude or the latitude constant. This is a mesh of lines in three-dimensional space, a virtual sculpture.

I am creating JavaScript code based on the framework three.js to bring this to life (No AI). I am scaling the whole sculpture and I am nesting several of them, coloring the contour lines on each of the meshes differently. Then I rotate it and pan my virtual camera to find an interesting viewpoint.

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About elkement

Elke Stangl (elkement) (she/her) is an Austrian physics PhD working as an engineer. Her mathematical art is borne out of her life-long passion for the theoretical underpinnings of her craft. She is creating virtual three-dimensional structures from mathematical functions – digitally with code or with ruler and compass, using.. Read more…

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This artwork doesn't have reviews yet. 4,346 customers rate us with a 4.8 / 5

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