The Duocylinder

The Duocylinder is a verse that is shaped like a duocylinder, which is the Cartesian product of two circles. It is made of Cubinders, and slowly rotates in four dimensions. Like The Tesseract and The Cubinder, most of the verse is just void and a barrier but the most interesting part is the part shaped like a duocylinder.

Construction
Like the previous verses, The Duocylinder is constructed from many Archrealities on top of one another. The number of layers in The Duocylinder is actually $$\Omega_2$$, or in other words, The Duocylinder can be described as $$R^{\Omega_2}_\text{The Cubinder}$$.