Geometric shapes fascinate scientists with their diverse properties. Two such intriguing forms are octagonal and hexagonal solids. While both exhibit captivating symmetries, they distinguish in several crucial aspects. An octagon possesses eight sides, while a hexagon has six. This fundamental distinction influences the number of vertices and faces

The geometry of an octagon can be vastly different depending on its construction. A firm octagon boasts a complete, continuous surface, formed by eight interconnected sides and corners. In contrast, a open octagon possesses open space within its structure. This distinction has significant implications for the octagon's properties, including its str