👉 Fixtures in mathematics, particularly within the context of computational geometry and computational geometry algorithms, refer to predefined geometric configurations or data sets that are used to test, validate, and benchmark algorithms. These fixtures often consist of specific shapes like polygons, circles, or more complex geometric objects, each designed to evaluate the performance and accuracy of algorithms for tasks such as convex hull computation, Voronoi diagrams, or nearest neighbor searches. By using these fixtures, researchers and developers can systematically assess how well an algorithm performs under controlled conditions, ensuring its reliability and efficiency before applying it to more complex or real-world problems. Fixtures are crucial for comparing different algorithms, identifying their strengths and weaknesses, and guiding improvements in algorithmic design.
