A decagrammic antiprism is a type of polyhedron that belongs to the family of antiprisms. Specifically, it is formed by connecting two decagrams (10-sided star polygons) with a band of quadrilateral faces that are typically parallelograms. In more detail: - **Decagram**: A star polygon with 10 vertices, which can be visualized as a ten-pointed star.

The deltoidal hexecontahedron is a convex Archimedean solid characterized by its unique geometrical properties. Specifically, it has 60 faces, all of which are deltoids (a type of kite-shaped quadrilateral). The solid features 120 edges and 60 vertices.

The great retrosnub icosidodecahedron is a non-convex uniform polyhedron and is one of the Archimedean solids. It is characterized by its complex structure, which consists of a combination of regular polygons. Specifically, the great retrosnub icosidodecahedron has the following properties: - **Faces**: It consists of 62 faces, which include 20 regular triangles, 12 regular pentagons, and 30 squares.

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 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 Elongated Pentagonal Gyrocupolarotunda is a type of geometric shape classified as a polyhedron in the family of convex polyhedra known as Johnson solids. Specifically, it is one of the many Johnson solids, which are characterized by being strictly convex polyhedra with regular faces, but are not uniform (i.e., they do not have identical vertices).

The great deltoidal hexecontahedron is a type of convex Archimedean solid. It is one of the less common polyhedra and is characterized by its unique geometric properties. Here are some key features of the great deltoidal hexecontahedron: 1. **Faces**: It has 60 triangular faces. Each of these faces is an equilateral triangle. 2. **Vertices**: The polyhedron has 120 vertices.

The elongated pentagonal orthobirotunda is a type of polyhedron that belongs to the category of Archimedean solids. Specifically, it is an elongated version of the pentagonal orthobirotunda, which is a convex polyhedron characterized by having two distinct types of regular polygonal faces.

The elongated pentagonal orthocupolarotunda is a type of convex polyhedron that belongs to the category of Archimedean solids. In geometric terms, it is a member of a family of uniform polyhedra that are characterized by their symmetrical properties and the uniformity of their faces.

An elongated pentagonal pyramid is a three-dimensional geometric shape that can be visualized as a combination of a pentagonal pyramid and a prism. Here’s a breakdown of its structure: 1. **Base Shape**: The base of the elongated pentagonal pyramid is a pentagon. 2. **Pyramid Section**: Above the pentagonal base, there is a pyramid whose apex is directly above the centroid (center) of the pentagonal base.

The Elongated Pentagonal Rotunda is a type of convex uniform polyhedron, which is one of the Archimedean solids. It is characterized by its unique combination of faces, including pentagons and hexagons.

An elongated square pyramid, also known as a frustum of a square pyramid, is a three-dimensional geometric shape that results from cutting the top off a square pyramid parallel to its base. ### Characteristics of an Elongated Square Pyramid: 1. **Base**: The base is a square. 2. **Top Face**: The top face is also a square, but smaller than the base.

An elongated triangular cupola is a type of geometric solid in the category of polyhedra. It can be described as a variation of a triangular cupola, which itself consists of a polygonal base capped by a series of triangular faces. In an elongated triangular cupola, the structure is essentially created by elongating the triangular cupola shape, typically by adding an additional layer or row to the base and vertex.

The elongated triangular orthobicupola is a type of convex polyhedron and a member of the Archimedean solids. It is derived from triangular bipyramids and is characterized by its unique structure that consists of "cupola" shapes. ### Characteristics: Here are some defining features of the elongated triangular orthobicupola: 1. **Faces**: It has a total of 24 faces.

Free-fall time refers to the time it takes for an object to fall freely under the influence of gravity, without any air resistance or other forces acting on it. This concept is commonly studied in physics and is governed by the laws of motion. In a vacuum, where air resistance is negligible, an object will accelerate towards the Earth at a constant rate, typically \(9.81 \, \text{m/s}^2\) (the acceleration due to gravity).

An enneadecagon is a polygon with 19 sides and 19 angles. The name derives from the Greek words "ennea," meaning nine, and "deka," meaning ten, reflecting its 19 sides (9 + 10 = 19). Each internal angle of a regular enneadecagon is approximately 168.53 degrees.

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.

The great cubicuboctahedron is a convex Archimedean solid that consists of 48 isosceles triangles, 24 squares, and 8 hexagons. It can be classified by its vertices, edges, and faces: it has 48 vertices, 72 edges, and 80 faces. This shape is notable for its unique combination of geometric elements, combining aspects of both a cubic shape and an octahedral shape, reflected in its complex symmetry and structure.

The Great Dodecacronic Hexecontahedron is an interesting and complex 3D geometric figure that belongs to the category of convex polyhedra. Specifically, it's a type of Archimedean solid, more precisely referred to in the context of a category of polytopes or uniform polychora.

The Great Ditrigonal Dodecicosidodecahedron is a complex polyhedron and is one of the Archimedean solids. It can be described in terms of its geometry and characteristics: 1. **Vertices, Edges, and Faces**: It has 120 vertices, 720 edges, and 600 faces. The faces consist of various types of polygons, including triangles, squares, and hexagons.