Frozen Harmonics by elkement

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Art code 1532295
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…

Customer reviews

This artwork doesn't have reviews yet. 4,302 customers rate us with a 4.8 / 5

    Tineke
    Netherlands
    5 / 5
    Verified review from Kiyoh Ordered in December 2021
    G. G.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in April 2021
    B. K.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in September 2021
    Manuela L.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in March 2022
    Truus
    Netherlands
    5 / 5
    Verified review from Kiyoh Ordered in June 2023
    Cornelia R.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in February 2021
    Ab en Netty Tiemersma
    Netherlands
    5 / 5
    Verified review from Google Ordered in May 2023
    Marleen
    Netherlands
    5 / 5
    Verified review from Kiyoh Ordered in October 2021
    Christine U.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in October 2023
    Weber M.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in February 2023
    Piet Sanders
    Netherlands
    5 / 5
    Verified review from Kiyoh Ordered in November 2021
    Martin R.
    Germany
    4.33 / 5
    Verified review from Trusted Shops Ordered in April 2019

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