Color Groups Associated with Square and Hexagonal Lattices
In this paper, we obtain the list of all color groups associated with a coloring of a square or hexagonal lattice Λ arising from sublattices of Λ. The results are obtained using a canonical representation of a sublattice L of Λ by a 2 × 2 matrix and no restriction on whether L is compatible or not w...
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| Main Authors: | , |
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| Format: | text |
| Published: |
Archīum Ateneo
2007
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| Online Access: | https://archium.ateneo.edu/mathematics-faculty-pubs/107 https://www.semanticscholar.org/paper/Color-groups-associated-with-square-and-hexagonal-Penas-Felix/f3bc1dd31af61647b1c6a147ccda553a0b35cf59 |
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| Institution: | Ateneo De Manila University |
| Summary: | In this paper, we obtain the list of all color groups associated with a coloring of a square or hexagonal lattice Λ arising from sublattices of Λ. The results are obtained using a canonical representation of a sublattice L of Λ by a 2 × 2 matrix and no restriction on whether L is compatible or not with Λ is imposed. |
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