Embedding the (2𝑛 -3)-dimensional space 𝒞 𝑛 into a compact space 𝒞 ̅ 𝑛 to include configurations where some B-atoms are in the same position is a process requiring modelling choices informed by the physics/chemistry of the system. Depending on these choices, 𝒞 ̅ 𝑛 can take vastly different forms. In this article we present examples where subsets of 𝒞 𝑛 compactify to the 2-dimensional sphere and 2-dimensional torus. In general, even small examples allow for a multitude of spaces, even in very simple settings.