| that also includes a description of a "rotating ring of tetrahedra", also known as a | This applies for each of the four choices of the base, so the distances from the apexes to the opposite faces are inversely proportional to the areas of these faces |
|---|---|
| The of a regular tetrahedron correspond to half of those of a cube: those that map the tetrahedra to themselves, and not to each other | Application of a tetrahedral structure to create resilient partial-mesh data network• Unlike the case of the other Platonic solids, all the vertices of a regular tetrahedron are equidistant from each other they are the only possible arrangement of four equidistant points in 3-dimensional space |
A regular tetrahedron can be embedded inside a in two ways such that each vertex is a vertex of the cube, and each edge is a diagonal of one of the cube's faces.
22| Kahan, "What has the Volume of a Tetrahedron to do with Computer Programming Languages? Truncating edges down to points produces the as a rectified tetahedron | If the closest pair of points between these two lines are points in the edges, they define the distance between the edges; otherwise, the distance between the edges equals that between one of the endpoints and the opposite edge |
|---|---|