SMALL SNUB ICOSICOSIDODECAHEDRON Meaning and
Definition
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The small snub icosicosidodecahedron is a complex and polyhedral geometric shape that belongs to the family of Archimedean solids. It is characterized by its intricate construction, composed of 62 equal faces and incorporating both regular and irregular polygonal shapes. The name "small snub icosicosidodecahedron" is derived from its unique snubbing operation, which involves truncating each of the icosicosidodecahedron's vertices by attaching triangular pyramids. This geometric manipulation creates additional faces and alters the angles and proportions of the original solid.
The small snub icosicosidodecahedron possesses several defining properties. It is dual to the great dodecahedron, meaning that the vertices of the small snub icosicosidodecahedron correspond to the faces of the great dodecahedron, and vice versa. Additionally, due to its highly symmetric nature, it has a rotational symmetry group of order 120.
The small snub icosicosidodecahedron is a fascinating object with applications in various fields, including crystallography, design, and architecture. Its intricate structure and aesthetically pleasing form make it a subject of interest for mathematicians and geometric enthusiasts. While it may not be as widely known as some other geometric shapes, its complexity and unique properties make it a captivating and notable member of the Archimedean solids family.
