"House of n gables," the operation dual to "t3...n4"

The result of "house of n gables" operating on Johnson solid J20.

Johnson solid J20

A view of dt3n(3,0.5,0.3)n(4,0.5,0.3)dJ20 from the other side.

A view of Johnson solid J20 from the other side.

The polyhedron operation described in the last post, "t3...n4," has a dual: "dt3...n4d." The dual operation preserves cursality since d, does. The results can be roughly described as building a roof with n gables at each n-valent vertex. The links below to polyHédronisme give more examples on unicursal base polyhedra.

P5

dt3...n4dP5

J16

dt3...n4dJ16