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Summary  

A report on the Convex and Absract Polytopes Workshops held at the Banff International Research Station and The University of Calgary, May 19--22, 2005.

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REFERENCES [1] H . Edelsbrunner , A. D . Robison and X. J . Shen . Covering convex sets with non-overlapping polygons . Discrete Mathematics , 81 : 153 - 164 , 1990 . [2] L . Fejes Tóth . Illumination of convex discs . Acta Mathematica

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REFERENCES [1] A . Akopyan and R . Karasev . Kadets-Type Theorems for Partitions of a Convex Body . Discrete Comput. Geom ., 48 : 766 – 776 , 2012 . [2] A. D . Aleksandrov . Almost everywhere existence of the second differential of a

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. 2007 Riesz means associated with convex polygons in ℝ 2 J. Math. Anal. Appl. 331 377 – 395 10.1016/j.jmaa.2006.08.052 . [5

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Abstract  

A finite set of points, in general position in the plane, is almost convex if every triple determines a triangle with at most one point in its interior. For every ℓ ≥ 3, we determine the maximum size of an almost convex set that does not contain the vertex set of an empty convex ℓ-gon.

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. Theorie der konvexen Körper. Berichtigter Reprint 1974 Hammer, P. C. , Diameters of convex bodies, Proc. Amer

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REFERENCES [1] E . Artin . The gamma function . Holt, Rinehart and Winston , 1964 . [2] I . Bárány . Random points and lattice points in convex bodies . Bulletin of the American Mathematical Society , 45 ( 3 ): 339 – 365 , 2007 . [3] I

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References [1] Kerekes A. ( 2017 ), Impact of added convex windows on energy need for heating in different climatic zones

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] Lavine , R. 1994 The eigenvalue gap for one-dimensional convex potentials Proc. Amer. Math. Soc. 121 815 – 821 . [5

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