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Tetrahedral Cupola
In 4-dimensional geometry, the tetrahedral cupola is a polychoron bounded by one tetrahedron, a parallel cuboctahedron, connected by 10 triangular prisms, and 4 triangular pyramids. Dr. Richard Klitzing, Symmetry: Culture and Science, Vol. 11, Nos. 1-4, 139-181, 2000 (4.23 tetrahedron , , cuboctahedron) Related polytopes The ''tetrahedral cupola'' can be sliced off from a runcinated 5-cell, on a parallel to a tetrahedral cell. The cuboctahedron base passes through the center o ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
4D Tetrahedral Cupola-perspective-cuboctahedron-first
4D or 4-D may refer to: * 4-dimensional spacetime: three-dimensional space of length, width, and height, plus time * Four-dimensional space Computers and photography * 4D (software), a complete programming environment including database and web server ** 4D SAS, developers of 4D and Wakanda ** 4D Inc, a US-based subsidiary of 4D SAS * 4D BIM, a term used in computer aided design * 4D printing * Cinema 4D, a commercial cross platform 3D graphics application * SGI IRIS 4D, a line of workstations from Silicon Graphics * 4D, a photo print size for digital cameras Arts and entertainment * ''4D'' (album), a 2010 album by Matthew Shipp * "4-D" (''The X-Files''), an episode of ''The X-Files'' * 4D Audio Recording system, an audio recording system developed by Deutsche Grammophon * 4D film, a high technology film experience augmented with physical or environmental effects * 4DTV, a satellite TV broadcasting technology from Motorola * 4DX, a 4D film format * "4D", a song by Grand Mixer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polychoron
In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope. It is a connected and closed figure, composed of lower-dimensional polytopal elements: vertices, edges, faces (polygons), and cells (polyhedra). Each face is shared by exactly two cells. The 4-polytopes were discovered by the Swiss mathematician Ludwig Schläfli before 1853. The two-dimensional analogue of a 4-polytope is a polygon, and the three-dimensional analogue is a polyhedron. Topologically 4-polytopes are closely related to the uniform honeycombs, such as the cubic honeycomb, which tessellate 3-space; similarly the 3D cube is related to the infinite 2D square tiling. Convex 4-polytopes can be ''cut and unfolded'' as nets in 3-space. Definition A 4-polytope is a closed four-dimensional figure. It comprises vertices (corner points), edges, faces and cells. A cell is the three-dimensional analogue of a face, and is therefore a polyhedron. Each fa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
3-simplex T02 A2
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the ordinary convex polyhedra and the only one that has fewer than 5 faces. The tetrahedron is the three-dimensional case of the more general concept of a Euclidean simplex, and may thus also be called a 3-simplex. The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a "triangular pyramid". Like all convex polyhedra, a tetrahedron can be folded from a single sheet of paper. It has two such nets. For any tetrahedron there exists a sphere (called the circumsphere) on which all four vertices lie, and another spher ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
3-simplex T0 A2
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the ordinary convex polyhedra and the only one that has fewer than 5 faces. The tetrahedron is the three-dimensional case of the more general concept of a Euclidean simplex, and may thus also be called a 3-simplex. The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a "triangular pyramid". Like all convex polyhedra, a tetrahedron can be folded from a single sheet of paper. It has two such nets. For any tetrahedron there exists a sphere (called the circumsphere) on which all four vertices lie, and another spher ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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