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Conjecture on the absence of coplanar ground states for the dodecahedron and icosahedron
For the dodecahedron and icosahedron, the coplanar minimum energies satisfy … and … respectively. Conjecture. The dodecahedron and icosahedron have no coplanar ground states; conse…
Conjectureopenclassical-spin-systems ground-states platonic-solidsarXiv posted 2 days ago
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Conjecture on stationary symmetric non-coplanar states for the cube
Let $\bi{r}_\mu$ , $\mu=1,\ldots,8$ , denote the unit vectors pointing to the vertices of the cube. The two inequivalent three-dimensional irreducible representations $F_1$ and $F_2$ …
Conjectureopenclassical-spin-systems platonic-solids representation-theoryarXiv posted 2 days ago

Conjecture on the absence of coplanar ground states for the dodecahedron and icosahedron