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The small dodecicosahedron is a type of convex polyhedron and is one of the Archimedean solids. It is characterized by having faces that are a mix of regular polygons—in this case, it features 12 regular pentagonal faces and 20 regular triangular faces.

The small dodecicosidodecahedron is one of the Archimedean solids and is classified as a polyhedron. More specifically, it is a convex polyhedral structure that consists of both regular and irregular faces.

The small hexacronic icosatetrahedron is a type of convex polyhedron classified as one of the Archimedean solids. It is a member of a group characterized by having regular polygonal faces and vertex arrangements that are consistent throughout the solid. Specifically, the small hexacronic icosatetrahedron is made up of: - 24 faces, consisting of 8 hexagons and 16 triangles. - 48 edges. - 24 vertices.

A small hexagonal hexecontahedron is a polyhedron that is classified as a member of the family of convex polyhedra. Specifically, it is a type of Archimedean solid. The term "hexecontahedron" indicates that it has 60 faces. In the case of the small hexagonal hexecontahedron, these faces include hexagons and other polygons.

The small hexagrammic hexecontahedron is a type of convex polyhedron belonging to the family of Archimedean solids. It is one of the few three-dimensional shapes that are composed of regular polygons. Specifically, the small hexagrammic hexecontahedron features: - 60 faces, each of which is a hexagram (a six-pointed star shape). - 120 edges. - 60 vertices.

The small icosacronic hexecontahedron is a convex Archimedean solid, characterized by its unique geometric properties. It has 62 faces composed of 20 equilateral triangles, 30 squares, and 12 regular pentagons. This polyhedron can be seen as a variant of the icosacron, which itself is derived from the more well-known icosahedron by expanding its structure.

The small icosicosidodecahedron is a convex Archimedean solid characterized by its unique arrangement of faces, vertices, and edges. Specifically, it is composed of 62 faces: 20 regular triangles, 30 squares, and 12 regular pentagons. It has a total of 120 edges and 60 vertices.

The small icosihemidodecacron is a type of convex polyhedron that belongs to the family of Archimedean solids. Specifically, it is one of the deltahedra, which are polyhedra whose faces are all equilateral triangles. The small icosihemidodecacron has 20 faces, which are composed of equilateral triangles, along with 30 edges and 12 vertices.

The small icosihemidodecahedron is a convex Archimedean solid that belongs to a class of polyhedra known for their vertex and face transitivity. It is a type of uniform polyhedron that features a combination of pentagonal and triangular faces.

The small retrosnub icosicosidodecahedron is a complex geometric shape classified as an Archimedean solid. Specifically, it is a type of polyhedron that possesses both regular and irregular faces, exhibiting a unique combination of symmetries and characteristics. Key features of the small retrosnub icosicosidodecahedron include: 1. **Faces**: It is composed of a mixture of faces, including triangles, squares, and pentagons.

The small rhombidodecacron is a type of convex polyhedron that belongs to the family of Archimedean solids. Specifically, it is a uniform polyhedron characterized by its unique arrangement of faces, vertices, and edges. ### Properties of Small Rhombidodecacron: 1. **Faces**: It has 62 faces in total, comprising 12 regular pentagons and 50 rhombuses. 2. **Vertices**: It has 30 vertices.

The small rhombidodecahedron is a convex Archimedean solid. It is one of the Archimedean solids characterized by having regular polygonal faces and symmetrical properties. Specifically, the small rhombidodecahedron has: - **Faces**: It features 62 faces, composed of 12 regular pentagons and 50 regular hexagons. - **Edges**: It has 120 edges. - **Vertices**: There are 60 vertices.

The small rhombihexacron is a type of convex uniform polychoron (four-dimensional polytope) that belongs to the family of uniform polychora. In simpler terms, a polychora is a four-dimensional analog of polyhedra. The small rhombihexacron is characterized by its symmetrical properties and structure. It consists of 60 rhombic faces, which are arranged in a highly symmetrical manner.

The small rhombihexahedron is a type of Archimedean solid, which is a category of convex polyhedra with regular polygons as faces and identical vertices. Specifically, the small rhombihexahedron is characterized by having 12 faces that are all rhombuses, with the overall structure featuring 24 edges and 14 vertices. The shape can also be described as a type of polyhedron with 8 regular triangles and 6 square faces.

The small snub icosicosidodecahedron is a type of Archimedean solid, which is a convex polyhedron composed of regular polygons with two or more types of faces. Specifically, the small snub icosicosidodecahedron has the following properties: 1. **Faces**: It consists of 62 faces, which include 20 regular triangles, 30 squares, and 12 regular pentagons.

The small stellapentakis dodecahedron is a complex polyhedron that is classified as a stellation of the dodecahedron. It is part of a larger family of polyhedra known as "stellated" forms, which are created by extending the faces or edges of a base polyhedron to create new vertices and faces.

The small stellated truncated dodecahedron is a fascinating geometrical shape that belongs to the family of Archimedean solids. It is formed through a combination of operations applied to a dodecahedron, which is a polyhedron with twelve flat faces. To break down its construction: 1. **Starting Shape**: The process begins with a regular dodecahedron, which has 12 regular pentagonal faces.

The snub dodecadodecahedron is an Archimedean solid, which is one of the groups of convex polyhedra that are comprised of regular polygons. Specifically, the snub dodecadodecahedron is characterized by having 92 faces, which include 12 regular pentagons and 80 equilateral triangles.

The snub icosidodecadodecahedron is a fascinating geometric shape that belongs to the category of Archimedean solids. It is a complex polyhedron characterized by its unique combination of faces, vertices, and edges. ### Key Features: - **Faces**: The snub icosidodecadodecahedron has 62 faces, 12 of which are regular pentagons and 50 are equilateral triangles.

The snub square antiprism is a type of Archimedean solid, which is a convex polyhedron that has identical vertices and faces that are regular polygons. Specifically, the snub square antiprism can be described as a modification of the square antiprism. It has the following characteristics: - **Faces**: The snub square antiprism has 38 faces in total, consisting of 8 triangles and 30 squares.