An elongated bipyramid is a type of convex polyhedron that can be classified as a member of the family of bipyramids. It is formed by taking a regular polygon and adding two additional vertices that are positioned along the axis perpendicular to the polygon's plane. This elongates the resulting bipyramid compared to a standard bipyramid, which has two identical bases and equally spaced apex points above and below the center of the base.
An elongated cupola is a polyhedral structure that combines the features of a cupola and a prism. In geometry, a cupola is typically formed by taking a polygon and connecting its vertices to a single point above the polygon (the apex), resulting in a structure with a base that is a polygon and lateral faces that are triangles. In the case of an elongated cupola, the basic structure is elongated by adding an additional layer of polygonal faces at the top.
An elongated hexagonal bipyramid is a type of polyhedron that is part of the family of bipyramids. It is specifically derived from a hexagonal bipyramid by elongating it along its axis. ### Structure: - **Base Faces**: The elongated hexagonal bipyramid has two hexagonal bases connected by triangular faces. The primary difference from a regular hexagonal bipyramid is the elongation, which typically results in a pair of additional faces being introduced.
The elongated pentagonal cupola is a type of convex polyhedron and a member of the Archimedean solids. Specifically, it is formed by elongating a pentagonal cupola through the addition of two hexagonal faces on opposite sides.
The elongated pentagonal gyrobicupola is a type of convex polyhedron that is part of the family of Archimedean solids. Specifically, it is a result of a geometric operation known as "elongation," which involves the addition of two hexagonal faces to the original structure of the gyrobicupola. Here are some key characteristics of the elongated pentagonal gyrobicupola: 1. **Vertices**: It has 20 vertices.
The great dodecicosahedron is a type of Archimedean solid, which is a convex polyhedron composed of regular polygons. Specifically, it is a combination of dodecagons and triangles. This solid has the following characteristics: - **Faces**: It consists of 12 regular dodecagon (12-sided) faces and 20 equilateral triangle faces. - **Edges**: The great dodecicosahedron has a total of 60 edges.
The Great Hexacronic Icositetrahedron, also known as a "great hexacronic icositetrahedron" or "great hexacronic icosahedron," is a type of convex uniform hyperbolic polyhedron. It belongs to the family of polyhedra that can be described using a system of vertices, edges, and faces in higher-dimensional space.
The great hexagonal hexecontahedron is a type of Archimedean solid. Archimedean solids are convex polyhedra with identical vertices and faces that are regular polygons. The great hexagonal hexecontahedron specifically has the following characteristics: 1. **Faces**: It comprises 60 faces in total, which include 30 hexagons and 30 squares. 2. **Vertices**: The solid has 120 vertices.
The great icosacronic hexecontahedron is a complex polyhedral shape belonging to the category of convex polyhedra. Specifically, it is one of the Archimedean solids, characterized by its unique arrangement of faces, vertices, and edges. To break down the name: - "Great" suggests that it is a larger or more complex version compared to a related shape. - "Icosa" refers to the icosahedron, which has 20 faces.
The great icosidodecahedron is a convex Archimedean solid and a type of polyhedron. It is characterized by its unique arrangement of faces, vertices, and edges. Specifically, the great icosidodecahedron has: - **62 faces**: which consist of 20 regular hexagons and 12 regular pentagons. - **120 edges**. - **60 vertices**.
The Great icosihemidodecacron, often referred to as a "great icosihemidodecahedron," is a complex geometric shape. It belongs to the category of convex polyhedra and is an Archimedean dual of the rhombicosidodecahedron. It is defined as a polyhedron with 62 faces consisting of 20 triangles, 30 squares, and 12 regular pentagons.
The elongated triangular gyrobicupola is a type of Polyhedral structure, specifically classified as a convex polyhedron in the category of Archimedean solids. It is formed by the combination of two triangular cups connected by a central column. This configuration can be visualized as taking a triangular bicupola (which itself consists of two triangular pyramids joined at their bases) and extending it vertically, resulting in an elongated shape.
An elongated triangular pyramid, also known as a triangular prism or a triangular bipyramid depending on the context, is a three-dimensional geometric shape. It consists of two triangular bases that are parallel and congruent, connected by three rectangular or parallelogram faces. In the context of an elongated triangular pyramid: 1. **Base Faces**: The two triangular bases are similar and aligned directly above each other.
An enneagonal antiprism is a type of polyhedron that consists of two parallel enneagonal (9-sided) polygons connected by a band of triangles. In more specific terms, it is characterized by the following features: 1. **Base Polygons**: The top and bottom faces are both enneagons, meaning each has nine sides. 2. **Lateral Faces**: There are a series of triangular lateral faces that connect the corresponding vertices of the two enneagons.
A gyroelongated bicupola is a type of polyhedron that is part of the family of Archimedean solids. It is formed by joining two identical cupolae (which are polyhedral structures with a polygonal base and a series of triangular faces leading to a point) with a cylindrical section that is elongated around the axis of symmetry.
A gyroelongated cupola is a type of geometric shape that belongs to the family of Archimedean solids. It can be described as a convex polyhedron that combines features of two other solids: a cupola and a prism. Specifically, the gyroelongated cupola is formed by taking a cupola (which is created by connecting a base polygon to a top polygon through triangular faces) and then elongating it by joining two identical bases via a series of square faces.
A gyroelongated pentagonal cupola is a type of Archimedean solid, which can be described as a polyhedron with specific characteristics. It combines two geometric shapes: a pentagonal cupola and a prism. Specifically, a gyroelongated pentagonal cupola is formed by taking a pentagonal cupola (which itself is a blending of a pentagonal pyramid and a pentagonal prism) and elongating it.
A gyroelongated pentagonal rotunda is a type of convex polyhedron and belongs to the broader category of Archimedean solids. Specifically, it can be described as a combination of a pentagonal rotunda and a prism.
A heptadecahedron is a type of polyhedron that has 17 faces. The term "heptadec-" comes from the Greek "hepta" meaning seven and "deca" meaning ten, thus literally translating to "seventeen." Heptadecahedra can have various configurations based on how the faces are arranged and the types of faces used.
A heptagonal bipyramid is a type of polyhedron that can be categorized as a bipyramid based on a heptagonal (7-sided) base. It is formed by taking a heptagon and creating two identical pyramids that are joined at their bases. ### Properties of a Heptagonal Bipyramid: 1. **Faces**: It has 14 triangular faces. Each of the sides of the heptagon contributes two triangles, one for each pyramid.