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Pick's Theorem in Two-Dimensional Subspace of ℝ(3)
In the Euclidean space ℝ(3), denote the set of all points with integer coordinate by ℤ(3). For any two-dimensional simple lattice polygon P, we establish the following analogy version of Pick's Theorem, k(I(P) + (1/2)B(P) − 1), where B(P) is the number of lattice points on the boundary of P in...
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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Hindawi Publishing Corporation
2015
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4352900/ https://www.ncbi.nlm.nih.gov/pubmed/25802889 http://dx.doi.org/10.1155/2015/535469 |