Elongated triangular gyrobicupola

Elongated triangular gyrobicupola
Type Johnson
J35 - J36 - J37
Faces 2+6 triangles
2.6 squares
Edges 36
Vertices 18
Vertex configuration 6(3.4.3.4)
12(3.43)
Symmetry group D3d
Dual polyhedron -
Properties convex
Net

In geometry, the elongated triangular gyrobicupola is one of the Johnson solids (J36). 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 (J3). Rotating one of the cupolae through 60 degrees before the elongation yields the triangular orthobicupola (J35).

A Johnson solid is one of 92 strictly convex polyhedra that have regular faces but are not uniform (that is, they are not Platonic solids, Archimedean solids, prisms or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.[1]

Formulae

The following formulae for volume and surface area can be used if all faces are regular, with edge length a:[2]

Related polyhedra and honeycombs

The elongated triangular gyrobicupola forms space-filling honeycombs with tetrahedra and square pyramids.[3]

References

External links


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