Pick's theorem

Known as: Pick theorem, Pick's formula 
Given a simple polygon constructed on a grid of equal-distanced points (i.e., points with integer coordinates) such that all the polygon's vertices… (More)
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1983-2016
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2011
2011
We start by establishing the result for an elementary triangle: one whose vertices are lattice points and which contains no other… (More)
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2011
2011
Various derivative estimates for functions of exponential type in a half-plane are proved in this paper. The reader will also… (More)
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2010
2010
  • Manya Raman
  • 2010
We present two different proofs of Pick’s theorem and analyse in what ways might be perceived as beautiful by working… (More)
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2008
2008
We propose a linear in time and easy-to-implement algorithm that robustly decomposes a digital curve into convex and concave… (More)
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2007
2007
ACKNOWLEDGMENTS This note was inspired by Brian Davies, who challenged Nick Trefethen at Oxford by pointing out that the… (More)
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2007
2007
We show that the Cappell–Shaneson version of Pick’s theorem for simple lattice polytopes is a consequence of a general relation… (More)
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2003
2003
Of course, finding the infimum is computationally harder than answering the question of whether the infimum is less than or equal… (More)
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2003
2003
This paper is to provide some new generalizations of the Pick Theorem. We first derive a point-set version of the Pick Theorem… (More)
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1998
1998
The Pick's theorem is one of the rare gems of elementarymathematics because this is a very innocent sounding hypothesisimply a… (More)
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1987
1987
The tiling of the plane by unit squares is only one of the I I Archimedean tilings which use regular polygons and have only one… (More)
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