Simple polygons with an infinite sequence of deflations.
Fevens, Thomas, Hernandez, Antonio, Mesa, Antonio, Morin, Patrick, Soss, Michael, Toussaint, Godfried (2001)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “Quadratic Time Computable Instances of MaxMin and MinMax Area Triangulations of Convex Polygons”
Simple polygons with an infinite sequence of deflations.
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Dawson, Robert J. MacG., Doyle, Blair (2006)
The Electronic Journal of Combinatorics [electronic only]
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Divisible tilings in the hyperbolic plane.
Broughton, S.Allen, Haney, Dawn M., McKeough, Lori T., Smith Mayfield, Brandy (2000)
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Approximating the MaxMin and MinMax Area Triangulations using Angular Constraints
Mark Keil, J, Vassilev, Tzvetalin (2010)
Serdica Journal of Computing
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* A preliminary version of this paper was presented at XI Encuentros de Geometr´ia Computacional, Santander, Spain, June 2005. We consider sets of points in the two-dimensional Euclidean plane. For a planar point set in general position, i.e. no three points collinear, a triangulation is a maximal set of non-intersecting straight line segments with vertices in the given points. These segments, called edges, subdivide the convex hull of the set into triangular regions called...
Distinct equilateral triangle dissections of convex regions
Diane M. Donovan, James G. Lefevre, Thomas A. McCourt, Nicholas J. Cavenagh (2012)
Commentationes Mathematicae Universitatis Carolinae
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We define a proper triangulation to be a dissection of an integer sided equilateral triangle into smaller, integer sided equilateral triangles such that no point is the vertex of more than three of the smaller triangles. In this paper we establish necessary and sufficient conditions for a proper triangulation of a convex region to exist. Moreover we establish precisely when at least two such equilateral triangle dissections exist. We also provide necessary and sufficient conditions for...
On polygons and polyhedra
Siniša Vrećica (2005)
The Teaching of Mathematics
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Tilings of the sphere with right triangles. I: The asymptotically right families.
Dawson, Robert J. MacG., Doyle, Blair (2006)
The Electronic Journal of Combinatorics [electronic only]
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Data type polygon
Josef Drdla, Václav Snášel (1990)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Tilings of the sphere with right triangles. III: The asymptotically obtuse families.
Dawson, Robert J.Macg., Doyle, Blair (2007)
The Electronic Journal of Combinatorics [electronic only]
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