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 term "tridiminished icosahedron" refers to a specific geometric shape that is derived from the icosahedron, which is one of the five Platonic solids. The tridiminished icosahedron is created by truncating (or diminishing) the vertices of the icosahedron in a specific way.
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.
The Tridyakis icosahedron is a type of convex polyhedron and a member of the family of Catalan solids. Specifically, it is associated with the dual of the icosahedron, which is a regular polyhedron with 20 triangular faces. The Tridyakis icosahedron itself has a unique structure characterized by its geometry.
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.
The trigyrate rhombicosidodecahedron is a type of convex polyhedron that is part of a broader category of geometrical shapes known as Archimedean solids. Specifically, it is a modified version of the rhombicosidodecahedron, which itself is one of the 13 Archimedean solids.
A truncated cuboctahedral prism is a three-dimensional geometric shape derived from the cuboctahedral prism, which is itself formed by stacking two truncated octahedral shapes. To break it down further: 1. **Cuboctahedral Prism**: This is a prism whose bases are cuboctahedra.
The truncated great dodecahedron is a convex Archimedean solid. It is derived from the great dodecahedron, which is one of the duals of the regular dodecahedron.
The truncated great icosahedron is a type of Archimedean solid, which is a category of polyhedra that are highly symmetrical, convex, and composed of regular polygons. Specifically, the truncated great icosahedron can be understood as follows: - **Basic Definition**: It is formed by truncating (cutting off) the vertices of a great icosahedron.
A truncated hexagonal trapezohedron is a type of polyhedron that can be described as a solid formed by truncating (cutting off) the corners of a hexagonal trapezohedron. A hexagonal trapezohedron is one of the dual polyhedra of a hexagonal prism. It has two hexagonal faces (one at the top and one at the bottom) and six trapezoidal faces that connect the edges of the hexagons.
The truncated rhombicosidodecahedron is a type of polyhedron that is classified as an Archimedean solid. It is derived from the rhombicosidodecahedron by truncating (or slicing off) its vertices, which results in a new shape with additional polygonal faces.
The truncated square antiprism is a type of convex polyhedron that belongs to the family of Archimedean solids. It can be described as a modification of the square antiprism, which is an 8-faced solid formed by two square bases that are connected by eight triangular lateral faces. In the truncated version, each of the vertices of the square antiprism is truncated (or cut off), resulting in additional faces.
The truncated square trapezohedron is a type of polyhedron that falls under the category of Archimedean solids. It is formed by truncating (or "cutting off") the vertices of a square trapezohedron, creating new faces in the process. ### Characteristics: - **Faces**: The truncated square trapezohedron has a total of 14 faces. There are 8 triangular faces and 6 quadrilateral faces. - **Vertices**: It has 24 vertices.
The truncated tetrakis cube, also known as the truncated cubic honeycomb or the cuboctahedral honeycomb, is a geometric shape that belongs to the family of Archimedean solids. It is derived from the tetrakis cube, which in turn is a variant of the cube in which each face of the cube is replaced by a pyramid (the pyramids being added to the square faces).
A truncated trapezohedron is a type of Archimedean solid derived from the trapezohedron, which itself is a 3D shape with trapezoidal faces. Specifically, a truncated trapezohedron results from truncating (cutting off) the vertices of the original trapezohedron. The geometry of a truncated trapezohedron features a combination of polygons as its faces—specifically, in this case, it will include hexagonal and quadrilateral faces.
The truncated triakis icosahedron is a convex Archimedean solid, a polyhedron that can be constructed by truncating (or slicing off the corners of) the triakis icosahedron. The triakis icosahedron itself is a non-convex polyhedron that can be thought of as an icosahedron where each triangular face has been replaced by three additional triangular pyramids.
The truncated triakis octahedron is a type of Archimedean solid, which is a category of geometric solids that are highly symmetrical and have faces that are regular polygons. Specifically, the truncated triakis octahedron can be described as follows: 1. **Construction**: It is derived from the triakis octahedron by truncating (or cutting off) the vertices of the solid. The triakis octahedron itself has eight triangular faces and twelve quadrilateral faces.
The truncated triakis tetrahedron is a type of Archimedean solid that can be derived from the triakis tetrahedron by truncating its vertices. It belongs to a category of solids that feature regular polygonal faces, and it is characterized by its unique geometric properties. ### Characteristics: - **Faces:** The truncated triakis tetrahedron has a total of 16 faces, which include 4 hexagonal faces and 12 triangular faces. - **Vertices:** It has 24 vertices.