Uploaded April 2017 | Updated September 2026, 2 weeks ago
This video shows the Fourier transform of the vertices of a regular dodecahedron (i.e., of a sum of Dirac δ distributions, one at each vertex of the dodecahedron) as a 3D function viewed through 2D slices, represented as levels of gray.
The vertices are at: (±1,±1,±1), (0,±(ϕ−1),±ϕ), (±(ϕ−1),±ϕ,0), (±ϕ,0,±(ϕ−1)), where ϕ is the golden ratio.
This video shows the Fourier transform of the vertices of a regular dodecahedron (i.e., of a sum of Dirac δ distributions, one at each vertex of the dodecahedron) as a 3D function viewed through 2D slices, represented as levels of gray.
The vertices are at: (±1,±1,±1), (0,±(ϕ−1),±ϕ), (±(ϕ−1),±ϕ,0), (±ϕ,0,±(ϕ−1)), where ϕ is the golden ratio.
