Elongated triangular gyrobicupola

In geometry, the elongated triangular gyrobicupola is one of the Johnson solids (J_36). As the name suggests, it can be constructed by elongating a "triangular gyrobicupola," or cuboctahedron, by inserting a hexagonal prism between its two halves, which are congruent triangular cupolae (J_3). Rotating one of the cupolae through 60 degrees before the elongation yields the triangular orthobicupola (J_35). The following formulae for volume and surface area can be used if all faces are regular, with edge length a: The elongated triangular gyrobicupola forms space-filling honeycombs with tetrahedra and square pyramids.