In geometry, the elongated triangular gyrobicupola is one of the Johnson solids (). 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 (). Rotating one of the cupolae through 60 degrees before the elongation yields the triangular orthobicupola (). Formulae The following formulae for volume and surface area can be used if all faces are regular, with edge length a: Related polyhedra and honeycombs The elongated triangular gyrobicupola forms space-filling honeycombs with tetrahedra and square pyramids. References External links Johnson solids