The Voronoi diagram of the carbon atoms in diamond consists of truncated versions of the "Triakis" kind of this shape.
The Voronoi diagram of the carbon atoms in diamond consists of truncated versions of the "Triakis" kind of this shape. Adding a vertex that is equidistant to the vertices that comprises this shape creates the pentachoron, since five examples of this shape make up a five-cell. The area of the faces that comprise this shape is the subject of De Gua's theorem. Tartaglia's formula gives the volume of this shape in terms of its dihedral angles. The first four numbers that define this shape's figurate sequence are "1, 4, 10, 20." The (*) Schläfli symbol of this shape is 3 comma 3. The central angle between two of this shape's vertices is approximately 109 degrees. Of the Platonic solids, it is the only self-dual one since at every vertex, three triangles meet. For 10 points, name this regular polyhedron with six edges and four faces.
The Voronoi diagram of the carbon atoms in diamond consists of truncated versions of the "Triakis" kind of this shape.
tetrahedron