Pick's Theorem in Two-Dimensional Subspace of ℝ3
In the Euclidean space ℝ3, denote the set of all points with integer coordinate by ℤ3. 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 ℤ3,...
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| Format: | Online |
| Language: | English |
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Hindawi Publishing Corporation
2015
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4352900/ |