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: De Las Peñas, Ma. Louise Antonette N, Felix, Rene P
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出版: Archīum Ateneo 2007
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在線閱讀: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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spelling ph-ateneo-arc.mathematics-faculty-pubs-11062020-06-27T02:15:32Z Color Groups Associated with Square and Hexagonal Lattices De Las Peñas, Ma. Louise Antonette N Felix, Rene P 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. 2007-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/107 https://www.semanticscholar.org/paper/Color-groups-associated-with-square-and-hexagonal-Penas-Felix/f3bc1dd31af61647b1c6a147ccda553a0b35cf59 Mathematics Faculty Publications Archīum Ateneo Chemistry Mathematics
institution Ateneo De Manila University
building Ateneo De Manila University Library
country Philippines
collection archium.Ateneo Institutional Repository
topic Chemistry
Mathematics
spellingShingle Chemistry
Mathematics
De Las Peñas, Ma. Louise Antonette N
Felix, Rene P
Color Groups Associated with Square and Hexagonal Lattices
description 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.
format text
author De Las Peñas, Ma. Louise Antonette N
Felix, Rene P
author_facet De Las Peñas, Ma. Louise Antonette N
Felix, Rene P
author_sort De Las Peñas, Ma. Louise Antonette N
title Color Groups Associated with Square and Hexagonal Lattices
title_short Color Groups Associated with Square and Hexagonal Lattices
title_full Color Groups Associated with Square and Hexagonal Lattices
title_fullStr Color Groups Associated with Square and Hexagonal Lattices
title_full_unstemmed Color Groups Associated with Square and Hexagonal Lattices
title_sort color groups associated with square and hexagonal lattices
publisher Archīum Ateneo
publishDate 2007
url 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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