OR Gyrated duprisms since there made by gyrating duprisms

these were inspired by the "antiprismatic rings" and play an important role in "gyromulticupolic screw guages" (see other thread for them)

btw here I've used CP to mean a prism or a duprism and cp to mean the operation of Cartesian product:D

If you take a CP all the elements will be made from a cp* now consider the to shapes A and B that are combined together,

pick one of these shapes (it doesn't matter which) lets say A

this shape will appear as an element in the CP. they appear as the cp of the "body" of A and the "vertices of B" now if you were to "dual" some (if you did it to all of them it would be "Dual A X B") of them then the B girdle (where the facet are arranged the same way as the facets in B) will now become "Gyrated CP" of lesser dimensions

If you did to

a prism you would get an antiprism (so it could be regarded as a type of antiprism hence the name "Gryated Antiprism" **)

3,n duoprism you would get an "n-gonal antiprismatic ring"

Now I haven't yet worked what facets fill in the void when one girdle is gyrated, (this is an idea I had only recently:D)

*stricly speaking some of the cell are not CP's there just the cp of the vertices in one of the shapes to the elements in the other:D

**now if the prism case only creates a "typical antiprim" (two bases one the dual of the other) then that's already named so it could be called a "Gyrated Duoprism"