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1. Algebra and Number Theory

Bee's eyes among lattice points

Cristian Cobeli
Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania

Abstract:

Our object is to explore patterns, visibility phenomena and distribution problems on lattice points in dimensions two or in large dimensions. Measuring segments and angles from different points of view we observe that the cardinality of certain sets with particular properties far exceeds the number we might have initially expected.