Symmetric Waves

by Greg Egan


4D harmonic with L=60 and symmetries of a 600-cell

3D harmonic with L=6 and symmetries of a dodecahedron
Harmonic polynomial of degree 6, with the symmetries of a dodecahedron.
3D harmonic with L=10 and symmetries of a dodecahedron
Harmonic polynomial of degree 10, with the symmetries of a dodecahedron.
3D harmonic with L=15 and symmetries of a dodecahedron
Harmonic polynomial of degree 15, with the symmetries of a dodecahedron.
Two 3D harmonics with L=30 and symmetries of a dodecahedron
Oscillation between two different harmonic polynomials of degree 30, both with the symmetries of a dodecahedron.

This page is still under construction ...


3D harmonic with L=6 and symmetries of a tetrahedron
Harmonic polynomial of degree 6, with the symmetries of a tetrahedron.
Two 3D harmonics with L=6 and symmetries of a tetrahedron
Oscillation between two different harmonic polynomials of degree 6, with the symmetries of a tetrahedron.
Two 3D harmonics with L=17 and symmetries of a tetrahedron
Oscillation between two different harmonic polynomials of degree 17, with the symmetries of a tetrahedron.
Two 3D harmonics with L=15 and symmetries of a dodecahedron, tetrahedron
Oscillation between two different harmonic polynomials of degree 15, with the symmetries of a tetrahedron and a dodecahedron.
Two 3D harmonics with L=30 and symmetries of a dodecahedron, tetrahedron
Oscillation between two different harmonic polynomials of degree 30, with the symmetries of a tetrahedron and a dodecahedron.

This page is still under construction ...


4D harmonic with L=12 and symmetries of a 600-cell Hydrogen wave function for n=13, derived from L=12 4D harmonic
4D harmonic polynomial of degree 12, with the symmetries of a 600-cell. Hydrogen wave function for n=13, derived from the degree 12 harmonic.
4D harmonic with L=20 and symmetries of a 600-cell Hydrogen wave function for n=21, derived from L=20 4D harmonic
4D harmonic polynomial of degree 20, with the symmetries of a 600-cell. Hydrogen wave function for n=21, derived from the degree 20 harmonic.
4D harmonic with L=30 and symmetries of a 600-cell Hydrogen wave function for n=31, derived from L=30 4D harmonic
4D harmonic polynomial of degree 30, with the symmetries of a 600-cell. Hydrogen wave function for n=31, derived from the degree 30 harmonic.
4D harmonic with L=60 and symmetries of a 600-cell Hydrogen wave function for n=61, derived from L=30 4D harmonic
4D harmonic polynomial of degree 60, with the symmetries of a 600-cell. Hydrogen wave function for n=61, derived from the degree 60 harmonic.



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