But the problem says "assuming integer coordinates are used in a scaled grid". So perhaps the hexagon is scaled by 2 to clear denominators:

Sun, 03 May 2026 16:04:04 +0000

Title: Scaling Hexagons on Integer Coordinate Grids: Clearing Denominators for Precise Geometry When working with geometric shapes on digital or physical grids, using integer coordinates is essential for precision, especially in computational geometry, game development, and scientific modeling. A common challenge arises when defining shapes like regular hexagons—their underlying math involves irrational numbers (e.g., √3), which complicate exact placement on a grid using only integer coordinates. This article explores how scaling a regular hexagon by a factor of 2 effectively eliminates irrational denominators, enabling perfect alignment with a scaled grid made of integer coordinates. We’ll clarify why this scaling works, demonstrate key implementations, and explain the practical benefits for applications requiring accuracy and simplicity. ---