Restricted-Orientation Convexity

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The study delves into restricted-orientation convexity, a geometric concept where intersections with specific lines remain connected, expanding on traditional convexity. It examines properties of this generalized convexity in multidimensional Euclidean spaces and presents restricted-orientation analogs of lines, hyperplanes, and other geometric entities. Additionally, the book introduces strong restricted-orientation convexity, highlighting its similarities to standard convexity and exploring the shared properties between them, offering a comprehensive understanding of these geometric structures.