J2 - J3 - J4
A Johnson solid is one of 92 strictly convex regular-faced polyhedra, but which is not uniform, i.e., not a Platonic solid, Archimedean solid, prism or antiprism. They are named by Norman Johnson who first enumerated the set in 1966.
The dual of the triangular cupola has 6 triangular and 3 kite faces:
|Dual triangular cupola||Net of dual|
The triangular cupola can be augmented by 3 square pyramids, leaving adjacent coplanar faces. This isn't a Johnson solid because of its coplanar faces. Merging those coplanar triangles into larger ones, topologically this is another triangular cupola with isosceles trapezoidal side faces. If all the triangle are retained and the base hexagon is replaced by 6 triangles, it generates a coplanar deltahedron with 22 faces.
The family of cupolae with regular polygons exists up to 5-sides, and higher for isosceles triangle version.
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