The guide on hexagonal grids provides a comprehensive overview of methods to create and work with these grids, focusing on geometry and coordinate systems. It highlights cube coordinates as the most effective choice for algorithms, while axial and doubled coordinates are recommended for storage. Each system offers unique advantages; for instance, offset coordinates simplify certain layouts but complicate algorithm implementation. The article emphasizes that understanding the relationships between different coordinate systems is key to effectively using hexagonal grids in programming. Key sections include neighbor calculation, distance metrics, and coordinate conversion. Cube coordinates allow for straightforward neighbor calculations and distance measurements, leveraging 3D vector operations. In contrast, offset coordinates can cause confusion due to their dependence on the specific grid position. The guide also notes that doubled coordinates simplify neighbor calculations compared to offsets, as they are consistent across the grid. The author encourages using axial or cube coordinates for algorithms while employing offset or doubled coordinates for specific grid layouts. The article provides practical recommendations for different use cases, including a detailed comparison of the strengths and weaknesses of each coordinate system. For example, doubled coordinates are easier for algorithm implementation, while axial coordinates allow for vector operations. The guide is rich in technical detail, offering code samples in multiple programming languages, making it a valuable resource for developers interested in implementing hexagonal grids in their projects.