Icosahedral symmetry

Icosahedral symmetry refers to a highly regular, three-dimensional shape that resembles a sphere built from 20 identical equilateral triangular faces, 12 vertices, and 30 edges. It exhibits a high degree of symmetry because it can be rotated around various axes—through its vertices, edges, and faces—and still look exactly the same. This type of symmetry is common in nature, such as in some viruses and certain crystals, and in mathematical models. It represents one of the most symmetrical ways to assemble a shape, balancing uniformity with complexity.