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tetrahedral graph - Übersetzung nach russisch
![A single 30-tetrahedron ring [[Boerdijk–Coxeter helix]] within the [[600-cell]], seen in stereographic projection](https://commons.wikimedia.org/wiki/Special:FilePath/600-cell tet ring.png?width=200 "A single 30-tetrahedron ring [[Boerdijk–Coxeter helix]] within the [[600-cell]], seen in stereographic projection")
![The [[stella octangula]].](https://commons.wikimedia.org/wiki/Special:FilePath/Compound of two tetrahedra.png?width=200 "The [[stella octangula]].")
![A space-filling tetrahedral disphenoid inside a cube. Two edges have [[dihedral angle]]s of 90°, and four edges have dihedral angles of 60°.](https://commons.wikimedia.org/wiki/Special:FilePath/Oblate tetrahedrille cell.png?width=200 "A space-filling tetrahedral disphenoid inside a cube. Two edges have [[dihedral angle]]s of 90°, and four edges have dihedral angles of 60°.")
![Matemateca IME-USP]])](https://commons.wikimedia.org/wiki/Special:FilePath/Tetraedro (Matemateca IME-USP).jpg?width=200 "Matemateca IME-USP]])")
![a thin volume of empty space]] is left, where the five edge angles do not quite meet.](https://commons.wikimedia.org/wiki/Special:FilePath/Tetrahedrons cannot fill space..PNG?width=200 "a thin volume of empty space]] is left, where the five edge angles do not quite meet.")
![Two tetrahedra in a cube]]](https://commons.wikimedia.org/wiki/Special:FilePath/CubeAndStel.svg?width=200 "Two tetrahedra in a cube]]")
![[[Compound of five tetrahedra]]](https://commons.wikimedia.org/wiki/Special:FilePath/Compound of five tetrahedra.png?width=200 "[[Compound of five tetrahedra]]")
![[[Compound of ten tetrahedra]]](https://commons.wikimedia.org/wiki/Special:FilePath/Compound of ten tetrahedra.png?width=200 "[[Compound of ten tetrahedra]]")
математика
тетраэдральный граф
теория графов
полный граф
математика
пустой граф
Definition
Wikipedia
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.
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 sphere (the insphere) tangent to the tetrahedron's faces.
