The small ditrigonal dodecacronic hexecontahedron is a type of convex polyhedron that belongs to a specific category of geometric shapes known as Archimedean solids. Here are some key features of this polyhedron: 1. **Structure**: It consists of a combination of different polygonal faces. In particular, it is characterized by having triangles and hexagons as its faces.
The small dodecahemicosahedron is a type of Archimedean solid, which is defined as a convex polyhedron with identical vertices and faces composed of regular polygons. Specifically, the small dodecahemicosahedron features 12 regular pentagonal faces and 20 regular triangular faces, giving it a distinct geometric structure. It can be classified under the category of dual polyhedra, where it serves as the dual of the icosahedron.
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 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 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.
A space-filling polyhedron, also known as a tessellating polyhedron, is a three-dimensional geometric shape that can fill space without gaps or overlaps when repeated. Essentially, when these polyhedra are arranged in a lattice or grid formation, they completely fill a volume without leaving any empty spaces. The most common example of a space-filling polyhedron is the cube, which can tile three-dimensional space perfectly.
Sphenomegacorona is a term that does not appear to be widely recognized in established scientific literature or common terminology. As of my last update in October 2023, it is possible that it could refer to a newly discovered species, classification, or concept in a specific field, such as biology, paleontology, or even an entirely different context.
A square cupola is a type of polyhedral structure that is classified as one of the Archimedean solids. It is formed by taking a square base and extending its sides upward to form a dome-like shape with a single vertex above the center of the base. The square cupola consists of: - A square base. - Eight triangular faces that slope upwards from the sides of the square base to meet at a single apex (the top point of the cupola).
A square orthobicupola is a type of polyhedron that belongs to the category of Archimedean solids. Specifically, it is formed by the combination of two square cupolas and has a unique geometric configuration. ### Features of the Square Orthobicupola: 1. **Faces**: The square orthobicupola has a total of 24 faces. These consist of: - 8 square faces - 16 triangular faces 2.
The stellated truncated hexahedron, also known as the "snub cuboctahedron," is a type of Archimedean solid. It belongs to a family of geometric shapes known for having regular polygons as faces and being vertex-transitive, meaning that each vertex has the same structure around it. ### Properties of the Stellated Truncated Hexahedron: 1. **Faces**: It has a total of 38 faces.
The trapezo-rhombic dodecahedron is a type of convex polyhedron that belongs to the category of Archimedean solids. It is characterized by having 12 faces, which are a mix of trapezoids and rhombuses. Specifically, there are 6 trapezoidal faces and 6 rhombic faces.
The Triakis octahedron is a convex polyhedron that can be classified as a type of Archimedean solid. It is derived from the regular octahedron by adding a pyramid to each face of the octahedron, where each pyramid has a triangular base. This construction results in a solid that retains the overall symmetry of the octahedron but has additional vertices, edges, and faces.
A triakis tetrahedron is a type of polyhedron that can be considered a variation of a tetrahedron. Specifically, it is formed by taking a regular tetrahedron and adding a triangular pyramid (or tetrahedral apex) to each of the faces of the original tetrahedron. The key characteristics of a triakis tetrahedron include: 1. **Vertices, Edges, and Faces**: The triakis tetrahedron has 12 edges, 8 faces, and 4 vertices.
A triangular cupola is a type of geometric shape categorized as a polyhedron. It is part of a family of shapes known as cupolas, which are constructed by connecting two bases—one being a polygon and the other a similar polygon that is either translated or shifted vertically. In the case of a triangular cupola, the two bases are triangles.
A triangular hebesphenorotunda is a type of convex polyhedron, which belongs to a specific category of Archimedean solids. To understand it better, it can be described as a truncated version of a triangular prism combined with the properties of other geometric shapes. Here's a breakdown of the name: - **Triangular:** This refers to the shape of the base, specifically that it is a triangle.
The triaugmented dodecahedron is a geometric shape that is categorized as an Archimedean solid. It is formed by augmenting a regular dodecahedron (which has 12 faces, each a regular pentagon) with three additional pyramidal structures.
A triaugmented hexagonal prism is a type of geometric solid that belongs to the family of solids known as "augmented prisms." This specific prism is obtained by taking a standard hexagonal prism and augmenting it with additional pyramid-like shapes (called "augmented" shapes) on each of the two hexagonal bases.
The triaugmented truncated dodecahedron is a convex Archimedean solid. It can be described as a polyhedron that is derived from a regular dodecahedron by truncating its vertices and augmenting it with additional faces. Specifically, this solid consists of: 1. **12 Regular Pentagon Faces**: These are the original faces of the dodecahedron, which are retained after truncation.
The Tridiminished rhombicosidodecahedron is a Archimedean solid and is a form of a polyhedron that can be described as a convex geometric shape. It is derived from the rhombicosidodecahedron, which is one of the Archimedean solids known for having 62 faces: 20 regular triangles, 30 squares, and 12 regular pentagons.
A trigonal trapezohedron is a type of polyhedron that has specific characteristics and belongs to the category of trapezohedra. It has 6 faces, each of which is a kite shape. The vertices of a trigonal trapezohedron correspond to the faces of a triangular bipyramid. The trigonal trapezohedron can be thought of as a convex polyhedron that has: - **Faces**: 6 faces, all of which are congruent kites.