Most minimal surfaces in the repository have a scientific reason why they are here, be it that they raise or answer a question, or provide other insights. The surfaces here have, at the moment, only an esthetic reason to be here.
I thought the Enneper surfaces with just n catenoidal ends would be appealing as sculptures but lacked a base. So here they are. The additional catenoidal end provides an additional free parameter that will distort the Enneper end.
Again there are introvert and extrovert versions. When in the introvert versions the catenoidal necks meet and the surface close up, one obtains the Torus with one Enneper and one Catenoid end or their symmetrizations.
There clearly is no limit to this…