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

When designing geometric shapes, the choice between solid and hollow octagons can significantly impact both their aesthetic appeal and practical applications. Dense octagons, with their completely filled areas, project a sense of strength and permanence. They are often used in architectural designs, logo creation, and artistic renderings to convey