Deltahedron

The deltahedron was named by Martyn Cundy, after the Greek capital letter delta resembling a triangular shape Δ.

There are eight convex deltahedra, which can be used in the applications of chemistry as in the polyhedral skeletal electron pair theory and chemical compounds.

In addition, it may show that a polyhedron with eighteen equilateral triangles is mathematically possible, although it is impossible to construct it geometrically.

[4] Summarizing the examples above, the deltahedra can be conclusively defined as the class of polyhedra whose faces are equilateral triangles.

[5] Another definition by Bernal (1964) is similar to the previous one, in which he was interested in the shapes of holes left in irregular close-packed arrangements of spheres.