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Rhombic dodecahedron code

Description

Spherical \((3,14,2-2/\sqrt{3})\) code whose codewords are the vertices of the rhombic dodecahedron.

Protection

Optimal antipodal configuration of 14 points in 3D space [1].

Cousins

Member of code lists

Primary Hierarchy

Classical Domain
Spherical Kingdom
Constant-energy codeECC
Spherical code
Slepian group-orbit codeECC
Polytope code
Polyhedron code
Parents
Polyhedron code
Rhombic dodecahedron code

References

[1]
J. H. Conway, R. H. Hardin, and N. J. A. Sloane, “Packing Lines, Planes, etc.: Packings in Grassmannian Space”, (2002) arXiv:math/0208004
[2]
A. Holden, “Shapes, Space, and Symmetry”, (1971) DOI
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Zoo Code ID: rhombic_dodecahedron

Cite as:
“Rhombic dodecahedron code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/rhombic_dodecahedron
BibTeX:
@incollection{eczoo_rhombic_dodecahedron, title={Rhombic dodecahedron code}, booktitle={The Error Correction Zoo}, year={2025}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/rhombic_dodecahedron} }
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Permanent link:
https://errorcorrectionzoo.org/c/rhombic_dodecahedron

Cite as:

“Rhombic dodecahedron code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/rhombic_dodecahedron

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/spherical/polytope/3d/rhombic_dodecahedron.yml.